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dem82 [27]
3 years ago
14

The function p is defined as p(x)=x2+4x-12

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

Given the function p(x)=x^2+4x-12.

Part A.

To write the expression that defines p(x-6)+5, you have to substitute x-6 instead of x into the function expression and then add 5 to the function:

p(x-6)+5=((x-6)^2+4(x-6)+12)+5,\\\\p(x-6)+5=x^2-12x+36+4x-24+12+5,\\\\p(x-6)+5=x^2-8x+29.

Part B.

1 transformation is translation 6 units to the right (p(x-6) determines this transfromation).

2 transformation is translation 5 units up (+5 determines this transformation).

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Answer:

see explanation

Step-by-step explanation:

A

The area (A) of a circle is calculated as

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B

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Here C = 28.26 , then

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3 years ago
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Arturiano [62]

Answer:

x=83. please look below for explanation. if anything isn't clear, please ask

Step-by-step explanation:

so complementary means adding up to 90 degrees in math. in this particular equation, you have to make sure that both (x-18) and 25 add up to 90.

if that other side is 25 degrees, the other side must be 65 because 90-25=65.

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add the 18 to the other side. the -18 and +18 cancel.

x=83

so to test and to see if that is right, we can do

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therefore, x=83

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Step-by-step explanation:

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Step-by-step explanation:

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