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2 years ago

9

Two figures are similar. One is 18 inches tall and the second is two feet tall.What is the scale factor. Not a multiple choice q

uestion

1 answer:

sladkih [1.3K]2 years ago

3 0

Answer:

3:4

Step-by-step explanation:

Compare the heights: 18 in and 24 in.

Then find the scale factor through division: 18/24 = 3/4 or 3:4

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What is the slope of the equation y-<br> 5=-X?

tatyana61 [14]

Answer:

-1

Step-by-step explanation:

y-5 =-x

change it to y=mx+b form

y= -x+5 (m is slope = -1)

-1 is your slope

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2 years ago

Name two triangles that are congruent by the ASA Postulate.

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3 years ago

5/6 plus blank equals to 5/2

Tju [1.3M]

Answer:

$\frac{5}{3}$

Step-by-step explanation:

let blank be O

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2 years ago

Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,

torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

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Point A=(-2,-4) and point B=(1,20)

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$\frac{dy}{dx}=12x+14$

We know that length of curve

$s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx$

We have a=-2 and b=1

Using the formula

Length of curve= $s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx$

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

$dt=12dx$

$dx=\frac{1}{12}dt$

Length of curve= $s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt$

We know that

$\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C$

By using the formula

Length of curve= $s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})$

Length of curve= $s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})$

Length of curve= $s=32.66$

5 0

2 years ago

Find the average rate of change of the function below over the interval (-4,-1).

babymother [125]

Answer:

-2

Step-by-step explanation:

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Therefore, the average rate of change over the interval [-4,-1] is -2.

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1 year ago