What Is The Missing Angle Measure of This Irregular Quadrilateral​

What Is The Missing Angle Measure Of This Irregular Quadrilateral

Answers

Answer 1

Answer:

the sum of the angles in a quadrilateral is 360 degrees

Step-by-step explanation:

360 - (60 + 150 + 70) = 360 - 280 = 80 degrees


Related Questions

which of the following is a disadvantage to purchasing points​

Answers

Answer:closing cost increase and savings are gained after the break-even point

Step-by-step explanation:

The disadvantage to purchasing points is closing costs are an increased option (B) is correct.

What is a closing cost?

Fees paid at the conclusion of a real estate transaction are known as closing costs.

The complete question is:

Which of the following is a disadvantage to purchasing points

A.they lower monthly paymentsB.closing costs are increasedC.An immediate tax break is receivedD.the interest rate is lowered for the life of the loan

As we know, the payments paid directly to the lender during closing in exchange for a lower interest rate are referred to as mortgage points or discount points.

By doing this, the buyer lowers the rate, which lowers his monthly mortgage payments.

Thus, the disadvantage to purchasing points is closing costs are an increased option (B) is correct.

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Which of the following pairs of lines are perpendicular? Select all that apply.

A. y=2/3x+4 and y=2/3x-8
B. y=2/3x-8 and y=-3/2x-8
C. y=x+2 and y=-x+3
D. y=3x+2 and y=3x-2
E. y=3 and y=4
F. y=4/5x-8 and y=-5/4x+3

Answers

B, C, & F The slopes are opposite reciprocals of one another

Final answer:

Pairs B (y=2/3x-8 and y=-3/2x-8) and F (y=4/5x-8 and y=-5/4x+3) are the only ones with perpendicular lines, as their slopes multiply out to -1.

Explanation:

Lines are perpendicular if the product of their slopes is -1. The slopes (m) are derived from lines in the format y=mx+b.

A. y=2/3x+4 and y=2/3x-8 are not perpendicular; they have the same slope, meaning they're parallel.B. y=2/3x-8 and y=-3/2x-8 are perpendicular; the product of their slopes (2/3 * -3/2) equals -1.C. y=x+2 and y=-x+3 are perpendicular; the slopes are 1 and -1, and their product is -1.D. y=3x+2 and y=3x-2 are not perpendicular; like A, they are parallel.E. y=3 and y=4 are not lines with slopes but horizontal lines, hence not perpendicular.F. y=4/5x-8 and y=-5/4x+3 are also perpendicular; their slopes multiply to -1 (4/5 * -5/4).

Thus, the pairs B and F are the only ones that are perpendicular to each other.

Which of the following best describes the solution to the system of equations below?
3x + 5y = 9
3x + 5y = 15

Answers

Answer: Option D

Step-by-step explanation:

The equation of the line in slope intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b the y-intercept.

Solve for y from both equations:

[tex]5y=-3x+9\\y=\frac{-3}{5}x+\frac{9}{5}[/tex]

[tex]5y=-3x+15\\y=\frac{-3}{5}x+3[/tex]

As you can see, the slopes of the lines are equal, therefore, they are parallel.

If the lines are parallel then the system of equtions has no solution.

Answer:

Choice D  is correct answer.

Step-by-step explanation:

We have given a system of equations.

3x + 5y = 9                             eq(1)

3x + 5y = 15                          eq(2)

We have to find the description of the solution of equations.

y = mx+c is the slope-intercept of equation of line where m is slope and c is y-intercept.

Eq(1) can be written as:

y = -3/5x + 3 where slope is -3/5.

Eq(2) can be written as:

y = -3/5x+5 where slope is -3/5.

Equations with equal slopes are of parallel lines and parallel lines have no solution.Hence, system has no solutions.

Choice D  is correct answer.

which expression is equivalent to 24x + 12?

Answers

You can factor 12 from both terms to get

[tex]24x+12 = 12(2x+1)[/tex]

Twelve divided by the sum of x and 2 equals the quotient of 4 and the difference of x and 2. Find x.

Answers

Twelve divided by the sum of x and 2 equals the quotient of 4 and the difference of x and 2 , the value of x is 4

Given

Twelve divided by the sum of x and 2 equals the quotient of 4 and the difference of x and 2

we need to write the given expression in equation

Twelve divided by the sum of x and 2 is written as  [tex]\frac{12}{x+2}[/tex]

quotient of 4 and difference of x  and 2 can be written as

[tex]\frac{4}{x-2}[/tex]

Now make them equal and solve for x

[tex]\frac{12}{x+2} =\frac{4}{x-2} \\12\left(x-2\right)=\left(x+2\right)\cdot \:4\\12x-24=4x+8\\12x=4x+32\\8x=32\\x=4[/tex]

So the value of x is 4

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Final answer:

To solve the given equation 12 / (x + 2) = 4 / (x - 2), we cross multiply, simplify and solve for x, the solution is x=4.

Explanation:

The equation given in this problem translates to the following algebraic equation: 12 / (x + 2) = 4 / (x - 2)

To solve for x, we first cross multiply to remove fractions: 12 * (x - 2) = 4 * (x + 2) which simplifies to 12x - 24 = 4x + 8

Then, subtract 4x from both sides: 8x - 24 = 8 and finally add 24 to both sides: 8x = 32. Therefore, solving for x by dividing both sides with 8, we get x = 4.

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I how do we simplify-3(4x - 5y + 6) + 8x - 9

Answers

Step-by-step explanation:

By using the distributive formula, you can solve this:

-a(b - c + d) = -ab + ac - ad

-3(4x - 5y + 6) + 8x - 9

Use distributive property:

-12x + 15y - 18 + 8x - 9

Add/Subtract by the common terms:

-12x + 8x = -4x

-18 - 9 = - 27

Plug it back into an equation:

= -4x + 15y - 27

That is your answer!!

Hope that helped

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Answer:

-4x + 15y - 27

Step-by-step explanation:

-3 (4x -5y + 6) = -3*4x, -3* -5y and -3*6

-3*4x= -12x

-3*-5y= 15y

-3*6= -18

-12x + 15y -18 +8x - 9

Combine like terms (-12x + 8x) and (-18 - 9)

12-8 = 4 and 18+9 = 27 now flip the signs, add the variables back on (the letters) and carry down what was remaining (15y)

-4x + 15y -27

Please help and thank you

Answers

Answer:

[tex]b_{1}=\frac{2A}{h}-b_{2}[/tex]

Step-by-step explanation:

Given: [tex]A=\frac{1}{2}(b_{1} +b_{2})h[/tex]

We need to completely isolate [tex]b_{1}[/tex] to solve.

[tex]A=\frac{1}{2}(b_{1} +b_{2})h[/tex]

[tex]A=(\frac{1}{2}b_{1} +\frac{1}{2} b_{2})h[/tex]

[tex]A=\frac{1}{2}b_{1} h+\frac{1}{2}b_{2}h[/tex]

[tex]-\frac{1}{2}b_{1}h+A=\frac{1}{2}b_{2}h[/tex]

[tex]-\frac{1}{2}b_{1}h=-A+\frac{1}{2}b_{2}h[/tex]

[tex]-\frac{1}{2}b_{1}=\frac{-A}{h}+\frac{1}{2}b_{2}[/tex]

Finally, multiply both sides by -2 to completely isolate [tex]b_{1}[/tex].

[tex]b_{1}=\frac{2A}{h}-b_{2}[/tex]

Answer:

The right option is D

Step-by-step explanation:

See the image

Whats the area of 7.5 and 5.3

Answers

They area of 7.5 and 5.3 is 39.75
Final answer:

To find the area of a rectangle, you multiply the length by the width. In this case, the area is calculated as 7.5 (length) multiplied by 5.3 (width) equaling 39.75 square units.

Explanation:

The question you asked refers to calculating the area of a rectangle. The formula to calculate the area of a rectangle is length times width. Given the numbers 7.5 and 5.3, we can assume these are the measurements for length and width, respectively.

To calculate the area, multiply the length (7.5) by the width (5.3). The calculation would be as follows: 7.5 * 5.3 = 39.75.

Therefore, the area of the rectangle is 39.75 square units.

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Consider the following division of polynomials. x^24+x^3+7x^2-6x+8 divide by x^2+2x+8 A) Use long division to determine the quotient of the polynomials. Show all of your work for full credit. B) Use mathematical methods to prove your answer. Show all of your work for full credit.

Answers

Answer:

 x²  -x + 1   Quotient

Step-by-step explanation:

Given in the question,

the numerator = x^4 + x³ + 7x² - 6x + 8

the denominator = x² + 2x + 8

Polynomial Long Division

Dividing :

x^4+x^3+7x^2-6x+8  ("Dividend")

By :

 x2+2x+8    ("Divisor")

                                                                 x²  -x + 1                      Quotient

                                                            -------------------------------

dividend          x² + 2x + 8     | x^4 +   x^3 +  7x² -6x + 8

divisor  *x²                                  x^4 + 2x^3 + 8x²

       

remainder                                                 -x³   - x²   -6x + 8

divisor  * -x1                                              -x³  -2x² . -8x  

 

remainder                                                           x²   +2x   +8

divisor  *1                                                            x²   +2x   +8

remainder                                                                          0

B)

(x²  -x + 1)   (x² + 2x + 8)    

= x^4 +   x^3 +  7x² -6x + 8

hence proved 

What is the solution to the above system of equations?

2x+5y=-4
4x-5y=22

A. (3,-2)
B. (13/3, -24/3)
C. (-2,3)
D. (3,2/5)

Answers

Answer:   A. (3,-2)

Step-by-step explanation:

Solve by Substitution :

// Solve equation [2] for the variable  x  

 

 [2]    4x = 5y + 22

 [2]    x = 5y/4 + 11/2

// Plug this in for variable  x  in equation [1]

  [1]    2•(5y/4+11/2) + 5y = -4

  [1]    15y/2 = -15

  [1]    15y = -30

// Solve equation [1] for the variable  y  

  [1]    15y = - 30  

  [1]   y = - 2  

// By now we know this much :

   x = 5y/4+11/2

   y = -2

// Use the  y  value to solve for  x  

   x = (5/4)(-2)+11/2 = 3  

Solution :

{x,y} = {3,-2}  

4.8 Linear Systems UT - P1

For Those of You With 10 Questions and Are on the Same Topic!

____________________________________________________

1. What is the apparent solution to the system of equations graphed above?

A) [tex](-2,2)[/tex]

_______________________________________________________

2. A jet ski company charges a flat fee of $26.00 plus $3.25 per hour to rent a jet ski. Another company charges a fee of $24.00 plus $3.50 per hour to rent the same jet ski. Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour.

B) [tex]8[/tex]

_______________________________________________________

3. Which graph best represents the solution to the following system?

[tex]\left \{ {{-3x+y < 1} \atop {-x+y\leq 2}} \right.[/tex]

Graph B

_______________________________________________________

4. A local amusement park charges $21.50 per daily adult ticket and $14.75 per daily child's ticket. A group of 12 people paid $204.00 for tickets. Which system of equations could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased.

D) [tex]\left \{ {{x+y=12} \atop {21.50x+14.75y=204}} \right.[/tex]

_____________________________________________________

5. Which graph best represents the feasibility region for the system shown above?

[tex]\left \{ {{y\geq 2;x\leq 6} \atop {y\leq 3x+2;y\leq -x+10}} \right.[/tex]

Graph A

____________________________________________________

6. (Graph Shown in Question) [tex]\left \{ {{x\leq 8;y\geq 0} \atop {y\leq 3x+2;y\leq -x+10}} \right.[/tex]

What is the minimum value for P = x - 2y over the feasibility region defined by the constraints shown above?

D) [tex]-14[/tex]

_______________________________________________________

7. A candy store makes a 13-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is $1.00 per pound, jelly beans cost $2.00 per pound, and hard candy costs $2.00 per pound. The mixture calls for three times as many gummy candy pieces as jelly beans. The total cost of the mixture is $20.00. How much of each ingredient did the store use?

C) 6 lbs. gummy candy, 2 lbs. jelly beans, 5 lbs. hard candy

______________________________________________________

8. How many solutions does the following system have?

[tex]\left \{ {{2x+3y=1} \atop {-3x-2y=-1}} \right.[/tex]

C) One Solution

______________________________________________________

9. Which linear system of equations does the matrix represent?

[-3  5 | 15 ]

[ 2  3 | -10]

C) [tex]\left \{ {{-3x+5y=15} \atop {2x+3y=-10}} \right.[/tex]

______________________________________________________

10. What is the solution to the above system of equations?

[tex]\left \{ {{2x+3y=-4} \atop {4x-5y=22}} \right.[/tex]

A) [tex](3,-2)[/tex]

______________________________________________________

Should be 10/10. Also, good luck on Part 2 guys!

Find the slope of a line perpendicular to y = 3x + 7

Answers

Answer:

-1/3

Step-by-step explanation:

The slope of the line has the form y = mx + b where m is the slope. Here the slope is m = 3. A line perpendicular to it will have a negative reciprocal slope. The negative reciprocal of 3 is -1/3.

What is the slope of the line described by the equation 6X + 4y= 8

Answers

Answer:

[tex]\large\boxed{\text{The slope}\ m=-\dfrac{3}{2}}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation of a line in the standard form:

[tex]6x+4y=8[/tex]

Convert to the slope-intercept form:

[tex]6x+4y=8[/tex]          subtract 6x from both sides

[tex]4y=-6x+8[/tex]           divide both sides by 4

[tex]y=-\dfrac{6}{4}x+\dfrac{8}{4}[/tex]

[tex]y=-\dfrac{3}{2}x+2[/tex]

The line that contains the point Q( 1, -2) and is parallel to the line whose equation is

y - 4 = 2/3 (x - 3)

Answers

In order for the line to be parallel it has to be the same slope. So basically you want to put the equation in slope intercept form Y=Mx+b. Do isolate the Y.

Answer

y-4=2/3(x-3)

y-4=2/3x-2

+4. +4

y=2/3x+2

Answer:

y + 2 = (2/3)(x - 1)

Step-by-step explanation:

Two lines with the same slope are parallel; if two lines are parallel, they have the same slope.

Starting with the standard point-slope formula for the straight line,

y - k = m (x - h), where (h, k) is the given point, we get:

y -[-2] = (2/3)( x - 1), or

y + 2 = (2/3)(x - 1) This is the desired equation of the parallel line.

List 3 key words that refer to addition

Answers

SUM, Addition and Atogether

Step-by-step explanation: When solving word problems, it's helpful to use keywords. Keywords tell us when to use addition, subtraction, or estimation. However, we will be only focusing on the keywords for addition.

For addition, some common keywords are altogether, total, and in all.

For example, if the problem asks for the total cost or how many people altogether, then we will probably use addition.

Plz Help me 50 points to who ever answers firstt

Answers

Answer:

[tex]\boxed{\bold{57 \ Ft.}}[/tex]

Step-by-step explanation:

Assignment: Find area of rectangle without triangle

Area of whole rectangle including triangle: 66 Feet

(6 * 11 = 66)

Area of Triangle: [tex]\bold{\frac{1}{2}Base \ \cdot \ Height }[/tex]

Height: 3

Base: 6 (Solved by using this: (11 - 2 + 3))

Half of base: 3

3 * 3 = 9

66 - 9 = 57

simplify -5x^4(-3x^2+4x-2)​

Answers

Answer:

The correct answer is 15x⁶ - 20x⁵ + 10x⁴

Step-by-step explanation:

The given expression is  -5x⁴ (-3x² + 4x - 2)​

Points to remember:

xᵃ * x ᵇ = xᵃ⁺ᵇ

To find the simplified expression

-5x⁴ (-3x² + 4x - 2)​ = (-5x⁴ * -3x²)  + (-5x⁴  *  4x ) - (-5x⁴  * 2)​

 = 15x⁴ ⁺² - 20x⁴ ⁺ ¹ + 10x⁴

 = 15x⁶ - 20x⁵ + 10x⁴

Therefore -5x⁴ (-3x² + 4x - 2)​ = 15x⁶ - 20x⁵ + 10x⁴

Answer:

15x⁶-20x⁵+10x⁴ is the simplification of this expression.

Step-by-step explanation:

We have given the expression:

-5x⁴(-3x²+4x-2)​

We have to simplify this expression.

-5x⁴(-3x²+4x-2)​

-5x⁴(-3x²)+(-5x⁴)(4x)+(-5x⁴)(-2)

15x⁴⁺²-20x⁴⁺¹+10x⁴

15x⁶-20x⁵+10x⁴

15x⁶-20x⁵+10x⁴ is the answer.

What is the answer to 7/5 = 10.5/b

Answers

Answer: b=14.7

Step-by-step explanation:

Answer: b=7.5

Step 1: Cross-multiply.

7/5 = 10.5/b

7*b=(10.5)*(5)

7b=52.5

Step 2: Divide both sides by 7.

7b/7 = 52.5/7

Therefore:

b=7.5

Please give me a brainlist :)

7.
Cirrus clouds form more than 6,000 meters above Earth. Write an inequality to represent H, the height, in
meters, of cirrus clouds.
Enter your answer in the space provided. Enter only your inequality

Answers

Answer:

h > 6000

Step-by-step explanation:

Let h be the height of the Cirrus clouds in the inequality.

h > 6000

This states that  h  is greater than  6000

Find the coordinates of the vertices of the figure after the given transformation. translation: (x, y)→(x - 4, y + 4) A) J'(1, 0), N'(5, 0), M'(5, 3), P'(2, 5) B) J'(-2, 5), N'(2, 5), M'(2, 2), P'(-1, 0) C) J'(-3, 4), N'(1, 4), M'(1, 1), P'(-2, -1) D) J'(-1, 0), N'(-5, 0), M'(-5, -3), P'(-2, -5)

Answers

Answer:

C) J' (-3, 4), N' (1, 4), M' (1, 1), P' (-2,-1)

Step-by-step explanation:

The rule (x, y)→(x - 4, y + 4), means to translate the figure four points to the left and four points up. If we apply this rule to each vertex of the figure, the resulting coordinates are J' (-3, 4), N' (1, 4), M' (1, 1), P' (-2,-1).

What are the coordinates of the midpoint of the segment whose endpoint are P(-6, 3) and Q(9, -11)

A. (-3, -2)
B. (-1.5, -1)
C. (1.5, -4)
D. (3, -8)

Answers

Answer:

[tex]\large\boxed{C.\ (1.5,\ -4)}[/tex]

Step-by-step explanation:

The formula of a midpoint of a segment AB with endpoints at A(x₁, y₁) and B(x₂, y₂):

[tex]M_{AB}\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]

We have the points P(-6, 3) and Q(9, -11).

Substitute:

[tex]M_{PQ}(x,\ y)\\\\x=\dfrac{-6+9}{2}=\dfrac{3}{2}=1.5\\\\y=\dfrac{3+(-11)}{2}=\dfrac{-8}{2}=-4[/tex]

Answer:

(-1.5, -1)

Step-by-step explanation:

After a party, there are 3 3/4pizzas left over. If they need to be split among 6 people, how much pizza will each person take home?

Answers

Answer:

5/8 of a pizza

Step-by-step explanation:

Gabe charges $30 to mow a lawn. Nate
charges $25 to mow a lawn. Their total
combined revenue one summer was $2020.
Nate mowed 6 more lawns than Gabe.
Write a system of equations to represent
this situation. Then solve the system of
equations by substitution. Explain what the
solution means.

Answers

g mowed 5 lawns and earned $150

Nate mowed 40 lawns and Gabe mowed 34 lawns for the equal earn of money. The value of x is 34.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. It is a combination of infinite points side by side.

Given

Gabe charges $30 to mow a lawn.

Nate charges $25 to mow a lawn.

Their total combined revenue one summer was $2020.

Nate mowed 6 more lawns than Gabe.

Let the number of lawns mowed by Gabe be [tex]\rm x[/tex].

Then the number of lawns mowed by Nate be [tex]\rm x + 6[/tex].

Then the equation will be

[tex]\rm 30x + 25(x+ 6) = 2020[/tex]

On simplifying, we have

[tex]\begin{aligned} \rm 30x + 25x + 150 &= 2020\\\\\rm 55x &= 1870\\\\\rm x &= 34\end{aligned}[/tex]

Thus, Nate mowed 40 lawns and Gabe mowed 34 lawns for the equal earn of money. The value of x is 34.

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a school club needs 350 feet of rope for a project. they have the amounts of rope listed below.
4 pieces of rope that are each 14 yards in length
1 piece of rope that is 10.5 yards in length
1 piece of rope that is 101.25 feet in length. how much additional rope , in feet, does the school club need in order to have enough rope for their project?

Answers

Answer:

They need 57.5 more feet of rope

Step-by-step explanation:

Add all the lengths of rope together in feet ( so convert the yards to feet; 1 yd=   3 ft) and then subtract that number from 350!

Hope this helped! <3  

I think this is correct

Answer:

The school club needs additional 49.25 feet of rope.

Step-by-step explanation:

Total length of rope needed = 350 feet

Available lengths are :

4 pieces of rope that are each 14 yards in length. Total length = [tex]4\times14=56[/tex] yards

1 piece of rope that is 10.5 yards in length.

Total yards = [tex]56+10.5=66.5[/tex] yards

Now converting yards to feet as the final answer will be in feet.

1 yard = 3 feet

So, 66.5 yards = [tex]3\times66.5=199.5[/tex] feet

1 piece of rope that is 101.25 feet in length.

Total rope in feet = [tex]199.5+101.25=300.75[/tex] feet

As 350 feet of rope is needed, the club needs more rope of 350-[tex]300.75=49.25[/tex] feet

Therefore, the school club needs additional 49.25 feet of rope.

Which statement is false?
A. No integers are irrational numbers.
B. All whole numbers are integers.
C. No real numbers are rational numbers.
D. All integers greater than or equal to 0 are whole numbers.

Answers

Irrational numbers just means that it isn’t rational so this means that A is true. If you look up a chart with irrational,rational,real, and integer it will show that all whole numbers are integers so this means B is true. C is false. Same thing about B proves that D is true. SHORT ANSWER: C is false. I hope this helps.

In  the given statement D is false.

What is Rational number ?

In mathematics, a rational number is any number that can be written as a fraction, in which the numerator (the top number) and the denominator (the bottom number) are both integers, and in which the numerator is not equal to zero. In other words which can be written in p/q form.

It is rational to consider integers as rational numbers, not as irrational, because all integers, whether positive or negative, or zero can be written as p/q, for example, 2, 3 and 5 are rational because they can be written as 2/1, 3/1 and 5/1 respectively.

Due to the fact that the rational numbers as well as the irrational numbers can be added together, we can derive real numbers. This means that all real numbers are not rational numbers, since they contain irrational numbers as well.

Hence, the given statement D is false.

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Which diagram shows ∠1 and ∠2 as vertical angles? A) B) C) D)

Answers

Answer:the answer is c

Step-by-step explanation:

this question was on usatestprep and i got it wrong with the answer b that was given.

The correct diagram that shows ∠1 and ∠2 as vertical angles is Option C.

What is vertical angles?

Vertical angles are formed when two lines intersect. They are opposite angles and have equal measures.

If we consider the diagram given, option C shows two intersecting line, ∠1 and ∠2 are opposite angles formed by the intersecting lines, so they are vertical angles.

∠1 = ∠2 (because they are vertically opposite angles)

Thus, the correct diagram that shows ∠1 and ∠2 as vertical angles is option C.

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The missing diagram is in the image attached

Add polynomial expressions

Answers

[tex]12 {g}^{2} + 4g - 1[/tex]

Answer:

[tex]12g^2 + 4g - 1[/tex]

Step-by-step explanation:

Hello!

We can add the two polynomials vertically.

Add[tex]10g^2 + 3g - 10\\\underline{+( 2g^2 + g + 9)}[/tex]

[tex]10g^2 + 3g - 10\\\underline{+( 2g^2 + g + 9)}\\12g^2 + 4g - 1[/tex]

The simplified form is  [tex]12g^2 + 4g - 1[/tex].

Why is this wrong in Sudoku? I know I can’t put any of the same number in the same row, column, or box with numbers 1-9. But this 3 in red is not breaking those rules. I’m new to sudoku so please help!

Answers

If you put the red 3 where it is, you would be forced to put another 3 on the top-left corner of the central-left square. This would violate the first column.

This implies that the 3 in the central square must be in the top-central place.

please help me my queston is the photo

Answers

10.54cm2

This is the sense

Answer:

the answer is 10.54 cm2

Step-by-step explanation:

Help!! Please please answer quickly and in the next 9 hours!

Solve these questions.

Answers

Answer:

Please refer to step-by-step.

Step-by-step explanation:

Let's solve all of these one at a time.

15. -2x - y = -5

To find the x-intercept, we need to equate the value of y to 0.

-2x - 0 = -5

[tex]\dfrac{-2x}{-2}=\dfrac{-5}{-2}[/tex]

[tex]x=2.5[/tex]

To find the y-intercept, we need to equate the value of x to 0.

-2(0) - y = -5

Now since we cannot have a negative value, we need to divide both sides by -1.

[tex]\dfrac{-y}{-1}=\dfrac{-5}{-1}[/tex]

[tex]y=5[/tex]

To find the slope form, we can simply transpose the value of -2x to the other sides of the equal sign.

-y = 2x - 5

Now we cannot have a negative value for the slope, we need to divide both sides by -1, leaving us with.

y = -2x + 5

16. 6x + 3y = -9

Let's start with the x-intercept.

6x + 3y = -9

6x + 3(0) = -9

[tex]\dfrac{6x}{6}=\dfrac{-9}{6}[/tex]

[tex]x=1.5[/tex]

Now we solve for the y-intercept.

6x + 3y = -9

6(0) + 3y = -9

[tex]\dfrac{3y}{3}=\dfrac{-9}{3}[/tex]

[tex]y = -3[/tex]

Now for the slope.

3y = -6x - 9

Now we need to divide all our variables by 3 to get y.

[tex]\dfrac{3y}{3}=\dfrac{-6x}{3}-\dfrac{9}{3}[/tex]

[tex]y=-2x-3[/tex]

17. x - y = 4

Let's start with the x-intercept.

x - y = 4

x - 0 = 4

[tex]x=4[/tex]

Now we solve for the y-intercept.

x - y = 4

0 - y = 4

-y=4

[tex]\dfrac{-y}{-1}=\dfrac{4}{-1}[/tex]

[tex]y = -4[/tex]

Now for the slope.

x - y = 4

-y = -x + 4

We need to divide all our variables by -1 to get y.

[tex]\dfrac{-y}{-1}=\dfrac{-x}{-1}+\dfrac{4}{-1}[/tex]

[tex]y=x-4[/tex]

18. 3x + 4y = 12

Let's start with the x-intercept.

3x + 4y = 12

3x + 4(0) = 12

[tex]\dfrac{3x}{3}=\dfrac{12}{3}[/tex]

[tex]x=4[/tex]

Now we solve for the y-intercept.

3x + 4y = 12

3(0) + 4y = 12

[tex]\dfrac{4y}{4}=\dfrac{12}{4}[/tex]

[tex]y = 3[/tex]

Now for the slope.

3x + 4y = 12

4y = -3x + 12

[tex]\dfrac{4y}{4}=-\dfrac{3x}{4}+\dfrac{12}{4}[/tex]

[tex]y=-\dfrac{3x}{4}+3[/tex]

19. -7x + 2y = -16

Let's start with the x-intercept.

-7x + 2y = -16

-7x + 2(0) = -16

[tex]\dfrac{-7x}{-7}=\dfrac{-16}{-7}[/tex]

[tex]x=-2\dfrac{2}{7}[/tex]

Now we solve for the y-intercept.

-7x + 2y = -16

-7(0) + 2y = -16

[tex]\dfrac{2y}{2}=\dfrac{-16}{2}[/tex]

[tex]y=-8[/tex]

Now for the slope.

-7x + 2y = -16

2y = -7x - 16

[tex]\dfrac{2y}{2}=-\dfrac{7x}{2}-\dfrac{16}{2}[/tex]

[tex]y=-\dfrac{7x}{2}-8[/tex]

20. x - 5y = 55

Let's start with the x-intercept.

x - 5y = 55

x - 5(0) = 55

x = 55

Now we solve for the y-intercept.

x - 5y = 55

0 - 5y = 55

[tex]\dfrac{-5y}{-5}=\dfrac{55}{-5}[/tex]

[tex]y=-11[/tex]

Now for the slope.

x - 5y = 55

-5y = x + 55

[tex]\dfrac{-5y}{-5}=-\dfrac{x}{-5}+\dfrac{55}{-5}[/tex]

[tex]y=-\dfrac{x}{5}-11[/tex]

Which method is the most efficient method to use to solve x^2+6x-7=0?

A) Using the quadratic formula

B) Factoring

C) Isolating the x^2 term and finding the square root of both sides

D) All three methods would be efficient

Answers

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

In my opinion factoring is the better approach here

Given

x² + 6x - 7 = 0 ← in standard form

Consider the factors of the constant term (- 7) which sum to give the coefficient of the x- term (+ 6)

The factors are + 7 and - 1, since

7 × - 1 = - 7 and + 7 - 1 = 6, hence

(x + 7)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 1 = 0 ⇒ x = 1

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