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elena55 [62]
3 years ago
10

Type the correct answer in the box

Mathematics
1 answer:
tekilochka [14]3 years ago
6 0

Answer:

126 pie cubic inches.

Step-by-step explanation:

i dont have one^ but i completed the test with a 100%

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15. Use the unit circle to find the value of sin 3x/2 and cos 3x/2
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Answer:

3xpi/2 is 270 degree counter-clockwise from Ox

That time P(x,y) is (0,-1)

=> x= 0 and y = -1  as you can see in picture.

=> Cos 3pi/2 = x = 0

=> Sin 3pi/2 = y = -1

Step-by-step explanation:

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If a graph of a set has an open circle on 1/2 and an arrow pointing to the right, then which of the following numbers is in the
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The graph of a proportional relationship contains the point (-30, 18)
Elena L [17]

Answer:

k=-\frac{3}{5}

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

we have the point (-30,18)

so

x=-30, y=18

Find the value of k

k=\frac{y}{x}

substitute

k=\frac{18}{-30}

Simplify

Divide by 6 both numerator and denominator

k=-\frac{3}{5}

4 0
3 years ago
Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)? y = one twelfth(x − 5^)2
ankoles [38]

The equation of a parabola with a directrix at y = -3 and a focus at (5 , 3) is y = one twelfth (x - 5)² ⇒ 1st answer

Step-by-step explanation:

The form of the equation of the parabola is  (x - h)² = 4p(y - k), where

  • The vertex of the parabola is (h , k)
  • The focus is (h , k + p)
  • The directrix is at y = k - p  

∵ The focus of the parabola is at (5 , 3)

- Compare it with the 2nd rule above

∴ h = 5

∴ k + p = 3 ⇒ (1)

∵ The directrix is at y = -3

- By using the 3rd rule above

∴ k - p = -3 ⇒ (2)

Solve the system of equations to find k and p

Add equations (1) and (2) to eliminate p

∴ 2k = 0

- Divide both sides by 2

∴ k = 0

- Substitute the value of k in equation (1) to find p

∵ 0 + p = 3

∴ p = 3

Substitute the values of h , k , and p in the form of the equation above

∵ (x - 5)² = 4(3)(y - 0)

∴ (x - 5)² = 12 y

- Divide both sides by 12

∴ \frac{1}{12} (x - 5)² = y

- Switch the two sides

∴ y =  \frac{1}{12} (x - 5)²

The equation of a parabola with a directrix at y = -3 and a focus at (5 , 3) is y =  \frac{1}{12} (x - 5)²

Learn more:

you can learn more about the quadratic equations in brainly.com/question/8054589

#LearnwithBrainly

8 0
3 years ago
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