Angles 2 and 8 are called alternate exterior angles what do you notice about alternate exterior angles select all that apply

Answer:

y = 1/4 (x-4)² - 7

Step-by-step explanation:

Point (x , y) on the parabola, focus of (4, -8) and a directrix of y= -6

√(x-4)²+(y- -8)² = √(y- -6)²

(x-4)² + (y+8)² = (y+6)²

(y+8)² - (y+6)² = (x-4)²

(y²+16y+64) - (y²+12y+36) = (x-4)²

y²+16y+64-y²-12y-36 = 4y+28 = (x-4)²

4y = (x-4)² - 28

y = 1/4 (x-4)² - 7

standard formula of parabola: y = a(x-h)² + k      (h,k): vertex (4,-7)

The value of equation of parabola is,

⇒ y = 1/4 (x-4)² - 7

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix.

Now,

Let a point (x , y) on the parabola, focus of (4, -8) and a directrix of y= -6

Hence, We can formulate;

⇒ √(x-4)²+(y- (-8))² = √(y- (-6))²

⇒ (x-4)² + (y+8)² = (y+6)²

⇒ (y+8)² - (y+6)² = (x-4)²

⇒ (y²+16y+64) - (y²+12y+36) = (x-4)²

⇒ y²+16y+64-y²-12y-36 = 4y+28 = (x-4)²

⇒ 4y = (x-4)² - 28

⇒ y = 1/4 (x-4)² - 7

Thus, The value of equation of parabola is,

⇒ y = 1/4 (x-4)² - 7

Learn more about parabola visit:

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Answer:

Step-by-step explanation:

Q¹ = 7.5

Q³ = 17

IQR = Q³ - Q¹

IQR = 17 - 7.5

IQR = 9.5

Answer: 22

Step-by-step explanation: Divide the total by pi or 3.14 and the diameter is 22 and the radius is 11

Answer:16x2 + 181x + 59

Step-by-step explanation:It cannot be factored

Answer:

Step-by-step explanation:

11.26 is the correct answer

Answer: Well you would have to look at the options in the drop down and then find the terms and others

Step-by-step explanation:

Answer:

m[tex]\widehat{WXY}[/tex] is 224°

Step-by-step explanation:

From the figure, we have;

The angle subtended at the circumference, by the arc mWXY, C = 112°

The angle subtended at the center = m[tex]\widehat{WXY}[/tex]

By circle theory, we have;

The angle subtended at the center = 2 × The angle subtended at the circumference

∴ m[tex]\widehat{WXY}[/tex] = 2 × 112° = 224°

m[tex]\widehat{WXY}[/tex] = 224°.

Answer:

the answer is option B and option C

Step-by-step explanation:

Answer:

The first answer choice I think

Step-by-step explanation:

to the right 4 units

up one

vertical compression by 3

Answer:

85 m.

Step-by-step explanation:

Use Pythagoras Theorem:

x^2 = 51^2 + 68^2

=  7225

x = √7225

= 85

Answer:

15 sq cm

Step-by-step explanation:

Let 3x = area of 1st rectangle

7x = area of 2nd rectangle

8x = area of 3rd rectangle

(3x + 7x + 8x)/3 = 18

3x + 7x + 8x = 54

18x = 54

x = 3

3x = 3(3) = 9 = area of 1st rectangle (smallest)

8x = 8(3) = 24 = area of 3rd rectangle (biggest)

24 - 9 = 15 sq cm

Answer:

fr.ee points for base brain.liest if you translate this.

Step-by-step explanation:

ok

Answer:

fr.ee points for base brain.liest if you translate this.

Step-by-step explanation:

Me smurt

Answer:

392 square units

Step-by-step explanation:

We can make 2 right trapezoids out of this shape.

The area of a trapezoid would be 1/2×(b1+b2)×h or (b1+b2)×h ÷ 2.

If we do 1 half it would be 1/2×(14+14)×14 = 196

Now if we multiply by 2 (because we have 2 trapezoids) it would be 392.

Answer:

Step-by-step explanation:

I think it is helpful to set this up as a proportion as it is the easiest way in my opinion.

1st step: 396/18 and x/11

This is the way you set up the proportion.

2nd Step: You would have to multiply 396 and 11 then divide the value by 18.

396x11 = 4,356

4,356/18 = 242

x=242 Dollars

Answer: 242 dollars

Therefore, Alan would make 242$ while working at the same rate for 11 hours.

Answer:

A 57.6

Step-by-step explanation:

I took the quiz

Answer:a

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Answer:

Distance between mall and library is 6.32 miles.

Step-by-step explanation:

Coordinates of the door to the library is at (2, 4) and door to the mall is at (8, 4).

Since, distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

By this formula,

Distance between (2, 4) and (8, 4) will be,

Distance = [tex]\sqrt{(8-2)^2+(2-4)^2}[/tex]

               = [tex]\sqrt{36+4}[/tex]

               =  [tex]\sqrt{40}[/tex]

               = 6.32 miles

Answer:

x≈5.3 feet

Step-by-step explanation:

[tex]\frac{4}{15} =\frac{x}{20}[/tex]

[tex]15x=80[/tex]

x≈5.3 feet

Answer:

5.3m tall

Step-by-step explanation:

15/4 = 3.75

20/3.75= 5.3333333

Answer: The correct answer is B. 523.3...cm^3

Step-by-step explanation:

4/3*pi*r^3 is the formula

first, divide the diameter by 2 to get the radius, now, you will begin solving.

4/3*5^3*3.14

5*5*5=125

4/3*125*3.14

125*3.14=392.5

4/3*392.5

523.3...

Answer:

Step-by-step explanation:

10 times 10 times 60 = 6000

6000 - (1600 + 2000) = 2,400

Answer:

7200 [tex]in^3[/tex]

Step-by-step explanation:

volume of the bottom + volume of the middle part + volume of the top part (I'm sorry this is so vague T-T)

[tex](8*60*10)+(2*40*10)+(8*20*10)= 4800+800+1600=7200[/tex]

Sorry about that, here's the answers.

1. expanded form

2. regroup

3.  place value

4. A, C, D. The strategy I used was place value and regrouping. I chose these by using place value to help me understand how to regroup and what each option would sum to.

5. D. Ten thousands place

Answer:

1. Expanded form

2. Regroup

3. Place value

4. A, C, D,

C is correct because a one is equal to 1.

1 x 4,200 = 4,200. Therefore 4,200 ones is equal to 4,200. D is correct because a ten is equal to 10. 10 x 420 = 4,200. Therefore, 420 tens is equal to 4,200. A is the same as the rest but with hundreds.

5. A

Step-by-step explanation:

1. Expanded form refers to when a number is separated by place values. Like 555,555 being turned into 500,000 + 50,000 + 5,000 + 500 + 50 + 5.

2. Regrouping is separating number by places values to do an equation like subtraction. For example, 5 tens - two ones.

3. Place values refers to a digit in a number like the 1 in 2,134 is in the hundreds place and the 5 in 5,677 is the thousands place.

4. My answer explains it.

5. A is correct as the 2 in 321,705 is 20,000 while the 2 in 32,571 is 2,000. 20,000 is 10 times larger than 2,000. So the answer is 10.

Answer:

70

Step-by-step explanation:

Your sister's job requires a lot of traveling. Last week, she drove a different distance each day: 135, 150, 86, 54, and 105 miles. Find the first quartile of the set of distances.

We rearrange the terms

54, 86, 105, 135, 150

First Quartile formula =

1/4 (n + 1)th term

Answer:

20

Step-by-step explanation:

215% of 20 is 43

Answer:

20

Step-by-step explanation:

2.15x = 43

43 divided by 2.15 is 20! :)

Answer:

I'll do the dilation for the first point and you will see the answer (please verify the second point)

Step-by-step explanation:

The dilation about the origin is straightforward, you just multiply the coordinates of each point by the scale factor.

so the dilated point for (-4,-4) is -4x3.5= -14 which is the same for the y coordinate.

so the dilated point for (-4,-4) is (-14, -14)

Please verify by computing the dilated point for (-6,4)

Answer:6x^3

Step-by-step explanation: That’s the biggest factor that can be taken out of both equations

Answer: 3,892,314 CDs

Step-by-step explanation:

You can find this using the future value formula:

Future value = Amount * ( 1 + rate) ^ number of years

Amount = 29,000,000

Rate = -20% because it is decreasing

Number of years = 9

CDs sold in 9 years will therefore be:

= 29,000,000 * ( 1 - 20%) ⁹

= 3,892,314 CDs

Answer:

10.5.

Step-by-step explanation:

By similar  triangles:

IJ / 21 = 8 /(8+8) = 1/2

IJ / 21 = 1/2

IJ = 1/2 * 21

= 10.5.

Answer:

B.

–80, –110

Step-by-step explanation:

-80 and -110

It is an arithmetic sequence. The difference = -30. It is the difference between each number in the sequence: 10-40=-30

-50-30=-80

-80-30 =-110

-80

First Identify the sequence being made here.

10-40 = -30

-20-10 = -30

-50-(-20) = -30

Therefor this pattern is decreasing by a rate of 30 so to continue this, just subtract 30 from -50.

-50-30 = -80

The next term is -80.

Hope I helped!