What is the value of x?


x =

(Secants, Tangents, and Angles)

ANSWER

(-2,-3); minimum

EXPLANATION

The vertex is the minimum or maximum point on a parabola.

The graph of the function opens upwards.

Therefore the vertex will be the minimum point on the graph.

From the graph, the minimum point is (-2,-3).

Therefore the vertex is (-2,-3).

The second choice is correct.

Answer:

Refer to step-by-step.

Step-by-step explanation:

1. x = 4

x + 3 = 7

x = 7-3

x = 4

2.  x = 25

We need to use the Pythagorean theorem to find x.

a² + b² = c²

15² + 20² = x²

225 + 400 = x²

652 = x²

√652 = √x²

x = 25

3. x = 12

Line NP and Line QP will have the same measurement.

x = 12

4. x = 29.41

We need to use the Pythagorean theorem to find x.

a² + b² = c²

24² + 17² = x²

576 + 289 = x²

865 = x²

√865 = √x²

x = 29.41

5. NO

We apply the Pythagorean theorem to find if they are tangent.

a² + b² = c²

9² + 40² = 41²

81 + 1600 = 2500

1681 = 2500 NO

6. NO

a² + b² = c²

4² + 12² = 13²

16 + 144 = 169

160 = 169 NO

7. NO

a² + b² = c²

20² + 21² = 28²

400 + 441 = 784

841 = 784 NO

8. YES

a² + b² = c²

14² + 48² = 50²

196 + 2304 = 2500

2500 = 2500 YES

Answer:

20 girls.

Step-by-step explanation:

The girl to boy ratio is 10 to 2.

Insert the multiplier m and write an equation for the total number of students:

10 m + 2 m = 24, or

12 m = 24.  Then m = 2.

The number of girls is 10(m) = 10 m = 10(2) = 20.

The number of boys is 2(m) = 4

Note that 20 (girls) + 4 (boys) = 24 (students), as specified.

Note that 20/4 = 10/2, which is the given ratio.

Answer:

20 girls

Step-by-step explanation:

if there are 10 girls to 2 boys when you doble it you get 20 girls to 4 boys but when you add 20 and 4 together you get 24 students

Answer:   [tex]\bold{\dfrac{3\pm \sqrt{65}}{14}}[/tex]

Step-by-step explanation:

[tex]7x^2-3x=2\quad \rightarrow \quad 7x^2-3x-2=0\quad \rightarrow \quad a=7,\ b=-3,\ c=-2\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-3)\pm \sqrt{(-3)^2-4(7)(-2)}}{2(7)}\\\\\\.\ =\dfrac{3\pm \sqrt{9+56}}{14}\\\\\\.\ =\dfrac{3\pm \sqrt{65}}{14}[/tex]

Yeah, it seems the right answer!

16-20 are correct. Remember to mark the first #20 as A

The last #20 is wrong. The answer is B. 95 minutes.

10:55 - 11:00 =  5 minutes

11:00 - 12:00 = 60 minutes

12:00 - 12:30 = 30 minutes

            Total = 95 minutes

The old photocopier can make x manuals in an hour. The new photocopier can make 4x. Combined, they made 5x manuals in an hour.

In one hour they can make 1/28 of the manuals.

1/(28*5)=1/140 is the rate.

The new photocopier can make all the manuals in 4/140 or 35 hours.

The old one can make them in 140 hours.

ANSWER

The height is 6 units.

The base is 2 units.

EXPLANATION

The given rectangle has vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1).

To find the height of the rectangle, we use the points (-2,7) and (-2,1) or

(-4,7) and (-4,1) because they form the vertical side of the rectangle.

The height is

[tex]|7-1|=6 units[/tex]

To find the base, use the points (-2,7) and (-4,7) or (-2,1) and (-4,1).

The base is

[tex]|-2--4|=2 units[/tex]

Answer: The base is 2 units and the height is 6 units.

Step-by-step explanation:

You can plot the points  (-4, 7), (-2, 7), (-2, 1), and (-4, 1) and obtain the rectangle shown in the figure attached.

As you can see in the figure, the distance between the points of the base is:

[tex]d=\sqrt{(-2-(-4))^2+(1-1)^2}\\d=2[/tex]

Then the lenght of the base is 2 units

The distance between the points of the height is:

 [tex]d=\sqrt{(-2-(-2))^2+(1-7)^2}\\d=6[/tex]

Then the height is 6 units

Answer: ¨A¨ is congruent due to SSS. ¨B¨ is not because corresponding sides are not congruent. ¨D¨ is congruent due to AA. Can´t see all of ¨C¨

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The answer is graph D.

Your welcome:))))

The equation is [tex]\[ 130x + 150y = 1920 \end{cases} \][/tex]

Let's represent the number of months Lance lived in Portugal as x and the number of months he lived in Brazil as y.

Since Lance lived in Portugal for x months and learned 130 words per month, the total number of words he learned in Portugal is 130x.

Similarly, since Lance lived in Brazil for y months and learned 150 words per month, the total number of words he learned in Brazil is 150y.

We're given that the total number of words Lance learned is 1920. So, the system of equations representing this situation is:

[tex]\[ \begin{cases} 130x + 150y = 1920 \\x + y = 14 \end{cases} \][/tex]

The first equation represents the total number of words Lance learned, and the second equation represents the total number of months he spent in both countries combined.

Answer: the answer is 6x + 12y

Step-by-step explanation:

6x+12y will be the answer for this!

Answer:

51%

Step-by-step explanation:

Add up the tallies, as follows:  17+24+9+19.  Then divide the "cycling" tally (24) by this sum ( 69), obtaining the "observed probability that the customer will want to cycle"):  p = 24/69 = 34.7%.

Answer:

1. b ,2.c ,3.b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A is correct. Subtract 8 from both sides and then divide both sides by 3.

The inequality 3x + 8 ≥ 11 is represented by a line having a close circle at

x = 1 and going towards infinity.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, an inequality of line which is 3x + 8 ≥ 11.

3x ≥ 11 - 8.

3x ≥ 3.

x ≥ 3/3.

x ≥ 1.

This will be represented on a line with a close circle at x = 1 and the line will go towards infinity.

learn more about inequality here :

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i think it is 588 but I am not 100percent sure

Answer:

588.827

Step-by-step explanation:

Answer:

Factoring is written as the product of simpler expressions/factors.

Step-by-step explanation:

Factoring (called "Factorising" in the UK) is the process of finding the factors.

Factoring is the method of finding what to multiply together to get an expression.

It is like "splitting" an expression into a multiplication of simpler expressions.

Example: factor [tex]2y+6[/tex]

Both [tex]2y[/tex] and 6 have a common factor of 2:

[tex]2y[/tex]  is 2 × y

6 is 2 × 3

So we can factor the whole expression into:

[tex]2y+6 = 2(y+3)[/tex]

So [tex]2y+6[/tex]  has been "factored into" 2 and y+3.

well there’s 360 degrees in one circle so it’s just 270/360 which is 1/4 . you’re welcome and brainliest would be nice ty

Answer:

¾

Step-by-step explanation:

Your diagram shows that moving the hand 270° covered three of the divisions of the circle.

A circle consists of four equal parts, and you covered three of them.

Thus, 270° is ¾ of a complete turn.  

Answer:   32

Step-by-step explanation:

[tex]F(C)=\dfrac{9}{5}C+k\\\\-40=\dfrac{9}{5}(-40)+k\\\\-40=9(-8)+k\\\\-40=-72+k\\\\.\quad32=k[/tex]

Answer:

k = 32

Step-by-step explanation:

To get the value of k from expression:

[tex]F(C) = \frac{9}{5}C +k[/tex]

for F = -40 and C = -40, then:

[tex]-40 = \frac{9}{5}(-40)+k[/tex]

[tex]k =-40+\frac{9}{5}.40[/tex]

[tex]k = 72 - 40[/tex]

[tex]k = 32[/tex]

therefore, k should be 32 to get these answers.

52 cups.

3.35 times 52 equals 174.20

2.45 times 77 equals 188.60

So 52 cups of apple cider were sold in total.

Answer:

 The number of cups of apple cider sold was 60 cups

Step-by-step explanation:

We will develop equations to solve this problem.

Let a= price for a cup of apple cider in dollars

Let b= price for a donut in dollars

Let x = number for cups of apple cider sold

Let y= number of donuts sold

Let z = number of items sold on the day = 126 items

Let v = total money made = $362.70

Lets write two equations. One in terms of the amount of items sold of cups of apple cider and donuts, and one in terms of how much money was made for selling cups of apple cider and donuts.

z = x + y

x = z- y (1)

v = ax + by (2)

we substitute equation 1 in to equation 2

v = a(z-y) +by = az -ay +by = az +y(b-a)

solve for y

y = (v-az)/(b-a) = (362.70 - 3.35×126)/(2.45-3.35) = 66 donuts were sold

therefore x = z-y = 126-66 = 60 cups of apple cider were sold

Answer:

0.35 cents

Step-by-step explanation:

8 pints in 1 gallon. 8 x .65/pint = 5.20.

5.20 (8-pints) - 4.85 (gallon jug) = .35

Answer:  [tex]\bold{\dfrac{4\pm \sqrt{6}}{2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{3}{y-2}-2=\dfrac{1}{y-1}\\\\\\\text{Multiply by the LCD (y-2)(y-1) to clear the denominator:}\\\\\dfrac{3}{y-2}(y-2)(y-1)-2(y-2)(y-1)=\dfrac{1}{y-1}(y-2)(y-1)\\\\\\3(y-1)-2(y-2)(y-1)=1(y-2)\\\\3y-3-2(y^2-3y+2)=y-2\\\\3y-3-2y^2+6y-4=y-2\\\\-2y^2+9y-7=y-2\\\\0=2y^2-8y+5\quad \rightarrow \quad a=2,\ b=-8,\ c=5\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(2)(5)}}{2(2)}\\\\\\.\ =\dfrac{8\pm \sqrt{64-40}}{2(2)}[/tex]

[tex].\ =\dfrac{8\pm \sqrt{24}}{2(2)}\\\\\\.\ =\dfrac{8\pm 2\sqrt{6}}{2(2)}\\\\\\.\ =\dfrac{4\pm \sqrt{6}}{2}[/tex]

Answer:

4/5

Step-by-step explanation:

Answer: [tex]m= \frac{4}{5}[/tex] or [tex]m= 0.8[/tex]

(0,0) = (x1,y1)

(5,4) = (x2,y2)

Slope= [tex]\frac{y2-y1}{x2-x1}[/tex]

         = [tex]\frac{4-0}{5-0}[/tex]

         = [tex]\frac{4}{5}[/tex]

As decimal

         = [tex]0.8[/tex]

Answer:

lay the net out with numbers then add all of them

Step-by-step explanation:

Answer:

Lay the net out with the dimensions then multiply for each shape and add all of the areas to get the total surface area of your prism.

Step-by-step explanation:

I just got it correct on my online class.

Answer:

Every day, Jason runs for 31 minutes and lifts weights for 43 minutes. How many minutes will Jason spend working out in 8 days?

A.  96

B.  592

C. 248

D.  82

Step-by-step explanation:

(31+43) x 8 =

74 x 8 = 592

Answer: The answer would be B!

Step-by-step explanation:

31 minutes for jogging + 43 minutes for weight lifting = 74 minutes in total !

73 minutes a day x 8 days = 592 minutes

Hope this helped ! :)

Part A:

Mowing lawns: 1= $12 2= $24 3=$36 4= $48 5= $60

Walking dogs: 1= $9 2= $18 3= $27 4= $36 5= $45

I hope this helps you.

Part A:

-Chart one-

1-12

2-24

3-36

4-48

5-60

-Chart two-

1-9

2-18

3-27

4-36

5-45

Part B:

Plot these with circles (1,12), (2,24), (3,36), (4,48), (5,60)

Plot these with squares (1,9), (2,18), (3,27), (4,36), (5,45)

Answer:

Distance - The number of units between two numbers or points, regardless of direction.

Inequality - Sentence showing a relationship between numbers that are not necessarily equal; uses the symbols >, <, ≥, ≤, or ≠

Opposite numbers - Two numbers that are the same distance from zero on the number line but in opposite directions.

Absolute Value - The distance from zero on the number line.

The question matches mathematics concepts like absolute value, inequality, opposite numbers, and distance.

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The center of the circle that can be circumscribed about Triangle EFG with E(2,2), F(2,-2), and G(6,-2) is (2, -2).

To find the center of the circle circumscribed about triangle EFG, we can first find the midpoint of EF and the midpoint of FG.

These midpoints will lie on the perpendicular bisectors of EF and FG respectively.

The intersection of these bisectors will give us the center of the circle. Let's calculate it step-by-step:

Step 1: Find the midpoint of EF.

Midpoint of EF = ((2+2)/2, (2-2)/2) = (2, 0).

Step 2: Find the midpoint of FG.

Midpoint of FG = ((2+6)/2, (-2-2)/2) = (4, -2).

Step 3: Find the equation of the perpendicular bisector of EF.

The slope of EF = (0 - 2)/(2 - 2) = undefined. The midpoint of EF is (2, 0).

Hence, the equation of the perpendicular bisector of EF is x = 2.

Step 4: Find the equation of the perpendicular bisector of FG.

The slope of FG = (-2 - (-2))/(6 - 2) = 0. The midpoint of FG is (4, -2).

Hence, the equation of the perpendicular bisector of FG is y = -2.

Step 5: Solve the equations of the perpendicular bisectors to find the center of the circle. Since x = 2 and y = -2, the center of the circle is (2, -2).

Final answer:

To find the center of the circle that can be circumscribed about Triangle EFG, use the midpoint formula and equations of the perpendicular bisectors.

Explanation:

To find the center of the circle that can be circumscribed about Triangle EFG with coordinates E(2, 2), F(2, -2), and G(6,-2), we can use the following steps:

Find the midpoint of each side of the triangle, which will be the center of the circle.

Use the midpoint formula to find the coordinates of the midpoints of EF and FG.

The center of the circle will be the point where the perpendicular bisectors of each side intersect.

Find the equation of the perpendicular bisectors of EF and FG.

Solve the system of equations formed by the equations of the perpendicular bisectors to find the coordinates of the center of the circle.

The center of the circle that can be circumscribed about Triangle EFG is (-2/3, -4/3).

Answer:

The correct answer option is 'then'.

Step-by-step explanation:

The "to prove" part of the information is the 'then' of the "if-then" statement.

For example, we have this problem:

[tex] y = 2 x - 1 [/tex]

If [tex] x = 3 [/tex], then find the value of y.

Here in this problem, we are asked that 'if' the value of x is true then prove it by substituting in the value.

Answer:

The answer is Then.

Step-by-step explanation:

The "to prove" part of the information is the THEN of the "if-then" statement.

If is the question like, it is not validated. You are asking something if it holds true.

For example: If it rains heavily, then water bodies fill up.

So, here you are proving that water bodies fill if rains are heavy.

Another example: If a = 3 and b = 6 then a+b = 9

We can see that 3+6=9

Then it is proved that a + b = 9

Answer:

Step-by-step explanation:

3 because :

3+9=12

12×3=36

36-16=20

20+7=27