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3 years ago

Find f(t – 3) for f(x) = 4x2 – 8x + 4.

Mathematics

1 answer:

GarryVolchara [31]3 years ago

5 0

Answer:

4t^2 - 32t + 64.

Step-by-step explanation:

f(x) = 4x2 – 8x + 4

f(t - 3) = 4(t - 3)^2 - 8(t - 3) + 4

= 4(t^2 - 6t + 9) - 8t + 24 + 4

= 4t^2 - 24t + 36 - 8t + 28

= 4t^2 - 32t + 64.

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90,000 and 10,000,000 added to a number is 10,239,548. what is the number?

amm1812

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3 years ago

Someone please help asap! Thank you!

nekit [7.7K]

Answer:

The answer to your question is:

Perimeter = 26.5 units

Area = 22.5 units²

Step-by-step explanation:

Data

A (5, 9)

B (8, 0)

C (0, 9)

Formula

d = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }$

dAB = $\sqrt{(8 - 5)^{2} + (0 - 9)^{2} }$

dAB = $\sqrt{3^{2} + 9^{2} }$

dAB = $\sqrt{90}$

dBC = $\sqrt{(0 - 8)^{2} + (9 - 0)^{2} }$

dBC = $\sqrt{8^{2} + 9^{2} }$

dBC = $\sqrt{145}$

dAC = $\sqrt{(0 - 5)^{2} + (9 - 9)^{2} }$

dAC = $\sqrt{5^{2} + 0^{2} } \\$

dAC = $\sqrt{25} = 5$

Perimeter = $\sqrt{90} + \sqrt{145} + 5$

Perimeter = 26.5 units

Area = 1/2 [ ( 5x0) + (8x9) + (0 x 9) - (5x 9) - (0x 0) - (8x9)]

= 1/2 [ 0 + 72 + 0 - 45 - 0 - 72]

= 1/2 [-45]

= 45/2

= 22.5 units²

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4 years ago