Answer:
B. Square, Rectangle.
Step-by-step explanation:
The correct answer is B. Square, Rectangle.
A square will always have four equal angles and sides.
A rectangle will not have equal sides, but will always have angles of 90 degrees, as does the square.
Hope this helps!
Final answer:
Quadrilaterals with four equal angles are rectangles and squares since they both have four right angles. The correct answer is B: Square, Rectangle.
Explanation:
The question asks us to name the quadrilaterals that have four equal angles. A quadrilateral is a polygon with four sides and four angles. When all the angles in a quadrilateral are equal, they have to be right angles (each measuring 90°) since the sum of all angles in any quadrilateral is 360°. Thus, the types of quadrilaterals with four right angles are:
Rectangle: All four angles are right angles, and opposite sides are equal.
Square: It has all the properties of a rectangle but with the added feature that all four sides are also equal.
Therefore, the rectangles and squares are the quadrilaterals that have four equal angles.
A rhombus has four equal sides, but the angles are not necessarily right angles. A parallelogram has opposite angles that are equal, which does not guarantee that all four angles are equal unless it's a rectangle. Trapezoids generally do not have four equal angles. Therefore, the correct answer to the question is option B: Square, Rectangle.
Two positive numbers have a sum of 8 and their product is equal to the larger number plus 10
Answer:
There are 2 sets of numbers that work...
x = 3, y = 5
and
x = 6, y = 2
Step-by-step explanation:
Let x be one number, and let y be the other number. We have 2 equations...
x + y = 8 (two positive numbers have a sum of 8)
xy = y + 10 (their product is equal to the larger number plus 10)
solve the first equation for y, and substitute that into the second equation...
y = 8 - x
x(8 - x) = 8 - x + 10
now solve for x...
8x - x² = 18 - x
This is a quadratic, so get everything to one side so it's equal to zero...
-x² + 9x - 18 = 0 (add x and subtract 18 from both sides)
Now solve for x...
x² - 9x + 18 = 0 (divide both sides by -1)
(x - 6)(x - 3) = 0 (factor)
so
x - 6 = 0 becomes x = 6 (add 6 to both sides)
and
x - 3 = 0 becomes x = 3 (add 3 to both sides
If x is 3, then y = 5 (3 + 5 is 8, and 3(5) = 5 + 10, both equations hold up)
If x is 6, then y = 2 (6 + 2 is 8, and 6(2) = 2 + 10, both equation hold up)
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
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
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.
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 DivisionDividing :
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
Rewrite 11/35 and 3/10 so they have common denominator
Final answer:
To rewrite 11/35 and 3/10 with a common denominator, find the LCD, which is 70 and it will result in 22/70 and 21/70.
Explanation:
To rewrite the fractions 11/35 and 3/10 so they have a common denominator, we need to find the Least Common Denominator (LCD) for both fractions. The denominators are 35 and 10. Prime factorizing 35, we get 5 and 7. Prime factorizing 10, we get 2 and 5.
The LCD for both will therefore be the product of these prime factors taken at the highest power that appears in each, which is 2 * 5 * 7 = 70. To rewrite the fractions, we multiply the numerator and the denominator of each fraction by any factors needed to reach the LCD.
For 11/35 to have 70 as its denominator, we observe that 35 already has the factor 7 and 5, hence it only needs to be multiplied by 2. So, 11/35 = 11 * 2 / 35 * 2 = 22/70.
For 3/10 to have 70 as its denominator, we see that 10 has the factor 2 and 5, so it needs to be multiplied by 7. Therefore, 3/10 = 3 * 7 / 10 * 7 = 21/70.
Now both fractions have the same denominator of 70, which is 22/70 and 21/70 respectively.
A standard coffee mug has a capacity of 16 fluid ounces. If Anni needs to fill 26 mugs with coffee, how many total quarts of coffee does she need?
13 quarts of coffee
Answer:
13 quarts
Step-by-step explanation:
1 quart = 32 ounces
mug = 16 ounces = 1/2 quart
26 * 1/2 = 13
Which answer describes the function f(x)=2x^3-x^2
Odd
Even
Neither
it is neither, it cannot be raised to a power unless it is 0 or 1 :)
The function is neither an odd function nor an even function
The function is given as:
f(x)=2x^3-x^2
Calculate f(-x)
f(-x)= 2(-x)^3 - (-x)^2
f(-x)= -2x^3 - x^2
Calculate -f(x)
-f(x)= -2x^3 + x^2
From the above computation,
f(x), f(-x) and -f(x) are not equal
Hence, the function is neither an odd function nor an even function
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What is the following sum? 4(5 sqrt x^2y)+3(5 sqrt x^2y) PLEASE HELP IM TIMED
Answer: [tex]35\sqrt{x^2y}[/tex]
Step-by-step explanation:
To solve this exercise you must apply the proccedure shown below:
- Apply multiplication, as following:
[tex]4(5\sqrt{x^2y})+3(5\sqrt{x^2y})=20\sqrt{x^2y}+15\sqrt{x^2y}[/tex]
- As you can see, the index of the radical in the first term is 2 and the index of the radical in the second term is also 2.
- You can observe that the radicands are the same.
- Therefoe, as the index of the first radical is equal to the index of the second radical and the radicands are the same, you can make the addition. Then, you obtain:
[tex]35\sqrt{x^2y}[/tex]
THE ANSWER IS C all the other people are wrong because they don’t even got the answer choices. 7(5sqrt ^2y)
write the equation 4x+y=7 in slope intercept form
The equation 4x + y = 7 can be rewritten in slope-intercept form as y = -4x + 7, where -4 is the slope and 7 is the y-intercept. This format makes it easier to graph the line as it directly gives us the slope and y-intercept.
Explanation:To rewrite the equation 4x + y = 7 in slope-intercept form (y=mx+b), we need to solve for y. This equation can be transformed by subtracting 4x from both sides, resulting in y = -4x + 7. Here, -4 is the slope (m) and 7 is the y-intercept (b).
In comparison, if we look at the given graphic (Figure A1), we see another equation where the slope or 'm' is 3 and the y-intercept 'b' is 9. This slope and y-intercept gives us the equation y = 3x + 9. Thus, it can be seen that y = mx + b format helps to better understand the geometry of a linear equation on a graph, with 'm' indicating the slope and 'b' being the y-intercept.
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From the years 1988 through 1996 Steffi Graf won the annual U.S open tennis championships five times and Wimbledon seven times what percent or both tournaments combined during those 9 years was Steffi Graf the women’s champion?
Answer:
66.67%
Step-by-step explanation:
If there is 1 US open tennis championship and 1 Wimbledon per year, there are a total of 9 US open and 9 wimbledon from 1988 to 1998. So in total there are 18 championships.
Steffi Graf won 5 US open and 7 Wimbledons = 12
Essentially we want to know, 12 is what percent of 18? We can solve this by:
[tex]\frac{12}{18}*100=66.67[/tex]
Hence, 66.67% won
the functuion of g(x)= 2x-3 is compressed horizontally to form f(x). which of the following could be the equation of f(x) ?
A.f(x)=1/3x-1
B.f(x)=x+12
C.f(x)=-2x+1
D.f(x)=4x-3
Answer:
Please see attached graph for further understading of the solution.
To easily solve this problem, we can graph each of the functions and compare them to the original one.
g(x)= 2x-3
An horizontal compression implies a greater slope for the line. This means that the graph of f(x), must reach higher values faster.
Based on the image, the answer is option D
Point O is the center of the circle. What is the value of X?
Answer options: 64, 54, 34, 44.
Answer:
34°
Step-by-step explanation:
The angle made when a tangent and a radius intersect=90°
Therefore angle OQP =90°
The triangle made by the two radii is isosceles ( base angles are equal) hence angle POQ=180-2(62)
=56°
The right triangle OPQ can hence be solved as follows
angle POQ=56°
angle OQP=90°
angle x=180-(56+90)=34° as all the interior angles of any triangle add up to 180°
52.08 ÷ 3 =
A) 16.18
B) 16.36
C) 17.18
D) 17.36
Hey there!
52.08 ÷ 3 = 17.36
The correct answer is D
Hope this helps you!
God bless ❤️
xXxGolferGirlxXx
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)
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}
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!
If BC=6.7, CD=6.2, and AD=13.3, find AB to the nearest tenth
Answer:
14.4
Step-by-step explanation:
AB / BC = AD/CD
AB/6.7 = 13.3 / 6.2
AB = 13.3 * 6.7 / 6.2
AB = 14.4
Answer:
The answer is 14.4 units.(option A)
Step-by-step explanation:
Angles BAC and CAD are equal.
We can solve this by using the proportional relation.
[tex]\frac{AB}{BC} =\frac{AD}{CD}[/tex]
Let AB be = x
So, [tex]\frac{x}{BC} =\frac{AD}{CD}[/tex]
[tex]\frac{x}{6.7} =\frac{13.3}{6.2}[/tex]
[tex]\frac{x}{6.7} =2.145[/tex]
[tex]x=6.7\times2.145[/tex] = 14.37 units
And rounding to nearest tenth, we get 14.4 units.
What is the length of the side labeled x cm?
Answer:
The length of side [tex]x[/tex] is 4.9 cm
Step-by-step explanation:
The first thing we need to do is find the third angle using the angle sum theorem.
The angle sum theorem states that the sum of the interior angles of a triangle is always 180°. A + B + C = 180°
Let's call our missing angle A, so
A + 41° + 62° = 180°
A + 103° = 180°
A = 180° - 103°
A = 77°
Now we can use the rule of sines to find side [tex]x[/tex]:
[tex]\frac{x}{sin(41)} =\frac{14}{sin(77)}[/tex]
[tex]x=\frac{14sin(41)}{sin(77)}[/tex]
[tex]x=9.4[/tex]
We can conclude that the correct answer is 9.4 cm
What number am I ???
Answer:
17
Step-by-step explanation:
Since the number has only 2 factors it must be a prime number
A prime number has 2 factors 1 and itself
Since the difference between the factors is 16 then
17 - 1 = 16 and so the number is 17 with factors 1 and 17
Can someone please answer the chart part please?? ASAP!!
When x=0, that’s the y-intercept. So in this case the y-intercept would be (0,2)
orlando has a bag of 37 apples and a bag of 29 apples he can bake 6 apples in a pan how many pans can orlando make. plzzzzzzz i need help now and thx
the answer is 11 trays
List 3 key words that refer to addition
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.
solve by factoring square roots x^2 -49=0
Answer:
X=7
Step-by-step explanation:
X = SQRT(49)
X = 7
Best regards
16 =2/3 f equals what
Answer:
The answer is f = 24
Step-by-step explanation:
In order to find this, multiply both sides by 3/2
16 = 2/3f
24 = f
Whats the area of 7.5 and 5.3
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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Use formula I=prt to solve:
Steve borrowed 450$ for 3 years the yearly interest rate was 13%. How much interest did he owe at the end of 3 years?
Answer: $175.50
Step-by-step explanation: Since you are given the formula, your next step is to put your information into it.
I = PRT
I = 450 x .13 x 3
Now to solve for it:
I = $175.50
HELP ME PLZ
*****************
simplify 4x2 + 8x - 11x + 6 - 5x2 + 2
Answer:
[tex]\boxed{\bold{-5x+8}}[/tex]
Step-by-step explanation:
Combine Similar Elements: [tex]\bold{8x-11x=-3x}[/tex]
[tex]\bold{4\cdot \:2x-3x+6-5\cdot \:2x+2}[/tex]
Multiply: [tex]\bold{4\cdot \:2=8}[/tex]
[tex]\bold{8x-3x+6-10x+2}[/tex]
Group Like Terms
[tex]\bold{8x-3x-10x+6+2}[/tex]
Combine Similar Elements: [tex]\bold{8x-3x-10x=-5x}[/tex]
[tex]\bold{-5x+6+2}[/tex]
Add Numbers: [tex]\bold{6+2=8}[/tex]
[tex]\bold{-5x+8}[/tex]
To simplify the expression, combine like terms resulting in -1[tex]x^2[/tex] - 8x + 8.
To simplify the given algebraic expression, we need to combine like terms. The terms in the expression are: 4[tex]x^2[/tex], 8x, -11x, 6, -5[tex]x^2[/tex], and 2. Combining the [tex]x^2[/tex] terms and the x terms separately, we get:
[tex]4x^2 - 5x^2 = -1x^2[/tex]
8x - 11x - 5x = -8x
Finally, we add the constant terms: 6 + 2 = 8.
Putting it all together, the simplified version of the expression is: -1[tex]x^2[/tex] - 8x + 8.
Find the measure of a central angle that intercepts an arc of 3 inches in a circle whose radius is 8 inches.
0.375 rad
1.05 rad
2.3 rad
Answer:
option (A)
central angle = 0.375 rad
Step-by-step explanation:
Given in the question,
radius of the circle = 8 inches
arc of the circle = 3 inches
To find,
measure of a central angle
Central angles are subtended by an arc between those two points.
Formula to use:
s = (r) (θ)where r = radius
s = arc length
θ = angle in radians
Plug in the values in the equation
3 = (8) (θ)θ = 3/8 0.375 rad
Answer:
.375 rad
Step-by-step explanation:
Using the equation w=v/r
w=3/8
w=.375
Add polynomial expressions
[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].
The line that contains the point Q( 1, -2) and is parallel to the line whose equation is
y - 4 = 2/3 (x - 3)
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.
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!
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.
Which quantity is proportional to 65⁄5? Check all that are true. 13⁄1 260⁄10 195⁄15 130⁄15 130⁄10
Answer:
[tex]\frac{13}{1}[/tex]
[tex]\frac{195}{15}[/tex]
[tex]\frac{130}{10}[/tex]
Step-by-step explanation:
we have the ratio
[tex]\frac{65}{5}[/tex]
step 1
Divide both sides (numerator and denominator) by 5
[tex]\frac{65/5}{5/5}=\frac{13}{1}[/tex]
therefore
[tex]\frac{13}{1}[/tex] is proportional to [tex]\frac{65}{5}[/tex]
step 2
Multiply both sides (numerator and denominator) by 3
[tex]\frac{65*3}{5*3}=\frac{195}{15}[/tex]
therefore
[tex]\frac{195}{15}[/tex] is proportional to [tex]\frac{65}{5}[/tex]
step 3
Multiply both sides (numerator and denominator) by 2
[tex]\frac{65*2}{5*2}=\frac{130}{10}[/tex]
therefore
[tex]\frac{130}{10}[/tex] is proportional to [tex]\frac{65}{5}[/tex]