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lyudmila [28]
3 years ago
10

What is the area of the base of the rectangular

Mathematics
1 answer:
Vlada [557]3 years ago
4 0

Rectangular Prism Formula:

d=\sqrt[2]{l^2+h^2+w^2} Diagonal Formula

v=l*w*h Volume Formula

A_{s} =2(lw+wh+lh) Surface Area Formula

The Base Only:

l*w*h Base Formula

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Write the equation for a parabola that has a vertex (2, -1) and a directrix of x = 5.
Alika [10]

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

Step-by-step explanation:

Let us revise the equation of a parabola

1. The form of the equation is (y − k)² = 4p(x − h)

2. The coordinates of its vertex are (h , k)

3. The equation of its axis of symmetry is y = k

4. The coordinates of the focus are (h + p , k)

5. The directrix is at x = h − p

∵ The coordinates of the vertex of the parabola are (2 , -1)

∵ The coordinates of its vertex are (h , k)

∴ h = 2 and k = -1

∵ The directrix is at x = 5

∵ The directrix is at x = h − p

∴ h - p = 5

∵ h = 2

∴ 2 - p = 5

- Subtract 2 from both sides

∴ - p = 3

- Multiply both sides by -1

∴ p = -3

∵ The form of the equation is (y − k)² = 4p(x − h)

∴ (y - -1)² = 4(-3)(x - 2)

∴ (y + 1)² = -12(x - 2)

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

Learn more:

You can learn more about equation of a parabola in brainly.com/question/8054589

#Learnwithbrainly

3 0
3 years ago
Read 2 more answers
Alvin has a prism-like water tank whose base area is 0.90.90, point, 9 square meters and height is 0.60.60, point, 6 meters. He
Helen [10]

Answer:

2 fishes

Step-by-step explanation:

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3 years ago
Please help, this is due today at 3PM
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It decreases by -.4 over 1
6 0
3 years ago
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It takes 2 3/4 gallons of water to fill up 3 1/3 containers.How much water woud it take to fill 4 containers.
mafiozo [28]

Answer:

3.3 gallons

Step-by-step explanation:

(2 3/4)/x = (3 1/3)/4

(11/4)/x = (10/3)/4 (cross multiplication)

(11/4)*(4/1)=44/4=11

11/(10/3) = ( 11/1 ) * (3/10) = 33/10 = 3.3 gallons

3 0
2 years ago
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Help please (see below)
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Answer:

The quotient is 10x + 16

The remainder is 28x^2 + 10x +22

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