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Phantasy [73]
3 years ago
13

the vertex of a parabola is (-2, -20), and its y-intercept is (0, -12). the equation of the parabola is y =_x^2 _x _.

Mathematics
2 answers:
stiv31 [10]3 years ago
6 0

Answer:

(5,5)

Step-by-step explanation:

pochemuha3 years ago
3 0
Hello,

y=k(x+2)²-20
and -12=k*(0+2)²-20==>k=8/4=2

Equation's parabola is y=2(x+2)²-20

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The perimeter of a rectangle swimming pool is 160 feet. The length of the swimming pool is four times its width . Find the dimen
Helga [31]
Formula for Perimeter of Rectangle:

P = 2(L + W)

Plug in 160:

160 = 2(L + W)

L = 4W
<span>So we can plug in '4W' for 'L' in the first equation.</span>
<span>160 = 2(L + W)

160 = 2(4W + W)

Combine like terms:

160 = 2(5W)

160 = 10W

Divide 10 to both sides:

W = 16

Now we can plug this back into any of the two equations to find the length.

L = 4W

L = 4(16)

L = 64

So the width is 16, and the length is 64.</span>
3 0
3 years ago
Read 2 more answers
Bianca and Meredith are sisters. Meredith's height is 23 of Bianca's height plus 32 inches. Meredith is 60 inches tall. A girl i
jarptica [38.1K]

Answer:

Bianca's height = 42 inches

Step-by-step explanation:

Let x be the Bianca height.

Given:

Meredith height = 60 inches

We need to find the Bianca height.

Solution:

From the given statement the Meredith's height is \frac{2}{3} of Bianca's height plus 32 inches, so the equation is.

Meredith's height = \frac{2}{3}(Bianca\ height)+32

Substitute Meredith's height in above equation.

60=\frac{2}{3}x+32

Now we solve the above equation for x.

\frac{2}{3}x=60-32

\frac{2}{3}x=28

By cross multiplication.

x=\frac{3\times 28}{2}

28 divided by 2.

x= 3\times 14

x=42\ in

Therefore, the height of the Bianca is 42 inches.

7 0
3 years ago
A line has a y-intercept of -10 and a slope of 7/4 Find the equation of the line.
Gwar [14]

Answer:

(7/4)x - 10

Step-by-step explanation:

y = mx + c

m = gradient

c = y-intercept

so you just substitute in the respective values

6 0
3 years ago
Distance between A(2,7) and B(6,4)
r-ruslan [8.4K]

Answer:

Approx: 2.65units

Step-by-step explanation:

4 0
3 years ago
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. A pedestal is built using a trapezoid-shaped base. Find the area of the trapezoid.
Igoryamba

18m^2

area of a trapezoid = (a+b)/2 * h, where a and b are bases 1 and 2, and h is height

(4+8)/2 * 3

= 12/2 * 3

= 6 * 3

= 18

4 0
2 years ago
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