What is the y-value of the vertex of the function f(x)=-(×+8)(x-14)?

Answer:

a = 60km

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

a² + 32² = 68²

a² + 1024 = 4624

*subtract 1024 from both sides to isolate a² *

a² + 1024 - 1024 = 4624 - 1024

a² = 3600

*square root both sides to isolate a*

√(a²) = √3600

a = 60km

Seeing that its a right triangle...

We can use pythagorean theorem.

8^2 + 4^2 = x^2

64 + 16 = x^2

80 = x^2

x = 8.94427191

Answer:

65

Step-by-step explanation:

115-180=65 degrees

Answer:

68+47+x= 180

x=180-115

x=65

Answer:

96

Step-by-step explanation:

formula is simple

just base times height

so 12 × 8 which is 96

96m² is your Answer:

Solution given:

base[b]=12m

height[h]=8m

we have

Area of parallelogram=b×h=12×8=96m²

Answer:

B) -9/2 , 3/2

That's the correct answer

The midpoint of the given segment is (-9/2, 3/2), so the correct option is b.

For a segment whose endpoints are (a, b) and (c, d), the midpoint of that segment is given by the point:

( (a + c)/2, (b + d)/2).

In this case the endpoints are (-3, 4) and (-6, -1), using the above formula, we get that the midpoint is:

( (-3 - 6)/2, (4 - 1)/2) = (-9/2, 3/2)

We can see that the correct option is B.

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Answer:

1.5

Step-by-step explanation:

You divide and stuff. Then you subtract 3.5 from 5 to get 1.5 and bam answer.

Answer:19.625in

Step-by-step explanation:

Answer: 19.625 inches is the answer

Step-by-step explanation:

Answer:17+2m

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

because the i just worked it out

Answer:

p = s + dgh

p - s = dgh

(p - s) / dg = h

Answer = h= p-s/dg

The formula that represents the height "h" in terms of p, s, d, and g is expressed as  (p - s)/dg

Given the formula for determining the pressure, p, exerted  on an object at a depth, h, below the surface of a  liquid expressed as p = s + dgh where:

s is the atmospheric  pressure,

d is the density of the liquid, and;

g is the  acceleration due to gravity

We are to make h the subject of the formula;

p = s + dgh

Subtract s from both sides

p - s = dgh

dgh = p - s

Divide both sides by dg

dgh/dg = (p - s)/dg

h =  (p - s)/dg

Hence the formula that represents the height "h" in terms of p, s, d, and g is expressed as (p - s)/dg

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Answer:

5: 113.1 cm^3

6: 7238.23 cm^3

Step-by-step explanation:

The formula is V=4/3(pi)r^3, so just plug in values for R.

Answer:

5.25

Step-by-step explanation:

Answer:

B) (3,1)

Step-by-step explanation:

y = -2x + 7

y = 3x - 8

3x - 8 = -2x + 7

combine like terms:

5x = 15

divide both sides of the equation by 5:

x = 3

y = 3(3) - 8 = 1

Answer:

Option D.y=-2x³-1  will be your answer

Step-by-step explanation:

hope it helps...

have a great day!!

Answer:

The displac ment between t = 1 and t = 4 is 272 feet

Step-by-step explanation:

To get the displacement of the ball, we first need to get the equation for the position of the ball with respect to time.

We can do this by differentiating the velocity equation given:

v(t) = -32t +96

integrating between the limits of t = 1 and t = 4, we have

[tex]s = \int\limits^4_1 {-32t +96} \, dt[/tex]

[tex]s(t) = -32t^2/2 +96t[/tex]

[tex]s =[ -16t^2 +96t] t = 4, t =1[/tex]

where t = 4.

s = 256 + (96) =352 feet

Where t = 1

s = 80

Displacement of the ball = 352 -80 = 272ft

The displac ment between t = 1 and t = 4 is 272 feet

Answer:

$725.95

Step-by-step explanation:

add the two amounts together.

650.95+75 = 725.95

Answer:

Let Kylie use the simple interest option

Step-by-step explanation:

Given data

Principal=  $5,000

I will advise Kylie to pay up the loan using the simple interest option, this is because the interest does not get to compound (pile-up) over time

But with the compounding interest option, the interest tends to increase exponentially

Answer:

Yes, that's an angle bisector.

You are correct in saying that this is a bisector.

Answer:

$197.28

Step-by-step explanation:

perimeter of a square = 4 x length

length = perimeter / 4 =  68/4 = 17 ft

Price of the first fence = perimeter x price per foot

68 x 1.37 = 93.16

Perimeter of the second fence = (17 + 2 ) x 4 = 76

total price  = sum of the price of the two fences

Price = 76 x 1.37 = 104.12

total price = 197.28

Answer:

Is that your answer ☺️☺️☺️

The area of the circle formula is useful for measuring the space occupied by a circular field or a plot. A circle is a closed plane geometric shape. The area of the circle with diameter 20 in is 100 π inches².

The area of the circle is defined as the region occupied by the circle in a two dimensional plane. The diameter of the circle is the line which divides the circle into two equal parts and radius is half of the diameter.

The unit of area of a circle is m², cm², etc. The equation used to calculate the area of the circle is:

Area of a circle = π × r²

Here radius = 10 inches

Then the area of circle is given as:

Area = π × 10 × 10 = 100 π inches²

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Answer:

10

Step-by-step explanation:

Answer:

[tex] slope(m) = \frac{3}{2} [/tex]

Step-by-step explanation:

Slope (m) = change in y / change in x = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Use any two pairs of values to find the slope. Thus, let's use (-14, 3) and (-12, 6):

Where,

[tex] (-14, 3) = (x_1, y_1) [/tex]

[tex] (-12, 6) = (x_2, y_2) [/tex]

Plug in the values

[tex] m = \frac{6 - 3}{-12 -(-14)} [/tex]

[tex] m = \frac{3}{2} [/tex]

Answer:

5575.28

Step-by-step explanation:

Sphere volume: (4/3*3.14) multiplied by 11x11x11

Hope this helps :D

18pi since the radius is 9 and to find circumference you use C=2(pi)(r)

Answer:

x=-16

Step-by-step explanation:

from x=-3 to get to y=12 u need to multiply x=-3 by -4 to get to 12 so for y=64 u need to divide by -4 which equals x=-16

Answer:

x is (-16)

Hope it helps!!!