2 years ago

Help with this geometry question

Mathematics

1 answer:

Anna [14]2 years ago

5 0

Answer:

AAS

Step-by-step explanation:

♪＼(*＾▽＾*)／＼(*＾▽＾*)／

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Find the equation of the normal to the curve y=x^2-2x^2-4x+1 at thepoint (-1,2)

balandron [24]

Answer:

$y=-\frac{1}{3}x+\frac{5}{3}$

Step-by-step explanation:

Assuming that the first exponent in the formula for the curve should be 3, not 2...

$y=x^3-2x^2-4x+1$

The derivative is

$y'=3x^2-4x+4$

The slope of the tangent line at the point (-1, 2) is the value of the derivative at x = -1.

$y'|_{x=-1} = 3(-1)^2-4(-1)+4=3-4+4=3$

The slope of the normal line is the opposite reciprocal of the slope of the tangent line.

$m_{\text{normal} = -\frac{1}{3}$

Using the Point-Slope form of a linear equation, the normal line is

$y-2=-\frac{1}{3}(x-(-1))\\y-2=-\frac{1}{3}(x+1)\\y=-\frac{1}{3}x-\frac{1}{3}+2\\y=-\frac{1}{3}x+\frac{5}{3}$

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Step-by-step explanation:

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The sun is about 93Xthe sixth power of 10 (10*6) miles from earth. what is this distance written as a whole number?

SSSSS [86.1K]

Sixth power of 10 (10^6) equals 10 with five extra zeros (1000000), which is nothing else but million. If you multiply it by 93, you will get the answer - the Sun is approx. 93000000 miles from Earth.

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Help here ASAP you dont have to write a long one just a short one is fine

pychu [463]

Answer:

Commutative property and associative properties are mixed up.

Step-by-step explanation:

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Cost of an oil change: $19.95<br><br> Discount: 33%<br><br> What is the new cost?

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$13.95

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Help with this geometry question​

Help with this geometry question