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3 years ago

14

Find the equation, f(x) = a(x-h)2 + k, for a parabola that passes through the point (8,12) and has (6,10) as its vertex. What is

the standard form of the equation?

1 answer:

Sonja [21]3 years ago

8 0

For the x value flip the sign
f(x)=a(x-6)^2+10
Find a
12=a(8-6)^2+10
12=4a+10
12-10=4a
2=4a
a=2/4
a=0.5
y=0.5(x-6)^2+10

Hope that helps

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2 years ago

A helicopter leaves bristol and flies due east for 10 miles.Then the helicopter flies 8miles north before landing. What is the d

DedPeter [7]

Answer:

The distance of the helicopter from the bristol is approximately 1<u>2.81 miles</u>

Step-by-step explanation:

Given:

Helicopter flies 10 miles east of bristol.

Then the helicopter flies 8 miles North before landing.

To find the direct distance between the helicopter and bristol.

Solution:

In order to find the distance of the helicopter from the bristol before landing, we will trace the path of the helicopter

The helicopter is first heading 10 miles east of bristol and then going 8 miles due north.

On tracing the path of the helicopter we find that the direct distance of the helicopter from the bristol is the hypotenuse of a right triangle formed by enclosing the path of the helicopter.

Applying Pythagorean theorem to find the hypotenuse of the triangle.

$Hypotenuse^2=Short\ leg^2+Shortest\ leg^2$

$Hypotenuse^2=10^2+8^2$

$Hypotenuse^2=100+64\\Hypotenuse^2=164$

Taking square root both sides.

$\sqrt{Hyptenuse^2}=\sqrt{164}\\Hypotenuse = 12.81\ miles$

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3 years ago

The episodes of a TV program are each 40 minutes long.

Hatshy [7]

Answer:

160

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2 years ago

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nikklg [1K]

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Step-by-step explanation:

By the Intersecting Secants Theorem, we know that:

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Applying Distributive property:

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3 years ago