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Bingel [31]
3 years ago
10

Find the ratio of a side length in triangle ABC to a side length in DEF then simplify the ratio

Mathematics
1 answer:
Sidana [21]3 years ago
8 0

Answer:

4. 1/2

5. 9/1

Step-by-step explanation:

4. 2/4 simplifies to 1/2

5. 18/2 simplifies to 9/1

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Find the equation of the tangent line. y=(x^2+x-2)^2 at (-1,4)​
Keith_Richards [23]

Compute the derivative of <em>y</em> = (<em>x</em>² + <em>x</em> - 2)² using the chain rule:

d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) d/d<em>x</em> [<em>x</em>² + <em>x</em> - 2]

d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) (2<em>x</em> + 1)

Evaluate the derivative at <em>x</em> = -1 :

d<em>y</em>/d<em>x</em> (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4

This is the slope of the tangent line to the function at (-1, 4).

Use the point-slope formula to get the equation for the tangent line:

<em>y</em> - 4 = 4 (<em>x</em> - (-1))   →   <em>y</em> = 4<em>x</em> + 8

6 0
3 years ago
Hannah lost four points on a test and earned four points on an extra credit question what does the sum of 0 mean in the descript
Dominik [7]

Answer:

Is that it's not about the answers and the questions

5 0
3 years ago
Select all expressions that are equivalent to 64
pochemuha

Answer:

Step-by-step explanation:

What do you man what expressions or just expressions in general.

4 0
3 years ago
-32x + 45 – 7 (2x – 9) = 101
Evgesh-ka [11]

Answer:

x =  \frac{7}{46}

Step-by-step explanation:

-32x+45-7(2x-9)=101

parenthesis first

-32x+45-14x+63=101

just combine like terms

-46x+108=101

minus 108 both sides

-46x= -7

answer is x 7 over 46

5 0
3 years ago
Read 2 more answers
-25 Points-
Over [174]

\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\\\ \begin{array}{ccccllll} &\stackrel{\stackrel{ratio}{of~the}}{Sides}&\stackrel{\stackrel{ratio}{of~the}}{Areas}&\stackrel{\stackrel{ratio}{of~the}}{Volumes}\\ \cline{2-4}&\\ \cfrac{\stackrel{similar}{shape}}{\stackrel{similar}{shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}~\hspace{6em} \cfrac{s}{s}=\cfrac{\sqrt{Area}}{\sqrt{Area}}=\cfrac{\sqrt[3]{Volume}}{\sqrt[3]{Volume}} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \cfrac{s}{s}=\cfrac{\sqrt[3]{8}}{\sqrt[3]{125}}\implies \cfrac{s}{s}=\cfrac{2}{5}\qquad \leftarrow \textit{ratio of the sides or scale factor}

8 0
3 years ago
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