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alukav5142 [94]

3 years ago

9

Which of the following steps were applied to ABC obtain A’B’C’?

1 answer:

Westkost [7]3 years ago

8 0

The answer would be a. shifted three units right and two units up

This is easy to solve as long as you approach it the right way. The easiest way to solve this would be to find one point and count how many it moved in each direction to get to the new point. I used B in this one, is moved from (2, 5) to (5, 7)

Which is 3 (from 2 to 5) on the x axis and 2 (from 5 to 7) on the y axis

Hope this helps!

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Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 3. Check your answer by noting that the curve is

Reptile [31]

Answer:

$4\sqrt{17}$

Step-by-step explanation:

Let's find the answer by using the arc length formula which is:

$\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^{2} } } \, dx$

First, let's find dy/dx which is:

y=4x-5

y'=4*(1)-0

y'=4, now let's use the formula:

$\int\limits^3_{-1} {\sqrt{1+4^{2}} } \, dx=\sqrt{17} *(3-(-1))=4\sqrt{17}$

Now, using the distance formula we have:

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

$y(-1)=4*(-1)-5=-9 \\y(3)=4*(3)-5=7$

So we have two points (-1, -9) and (3, 7) so:

$d=\sqrt{(3-(-1))^{2} +(7-(-9))^{2} }=4\sqrt{17}$

Notice both equations gave the same length $4\sqrt{17}$ .

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F(x) = x2 + 9, g(x) = *square root of* x + 8, <br><br> find g(f(x))

ICE Princess25 [194]

Answer:

g(f(x)) = √(x^2 +17)

Step-by-step explanation:

For ...

f(x) = x^2 +9

g(x) = √(x +8)

The definition of g(f(x)) is ...

g(f(x)) = g(x^2 +9) = √((x^2 +9) +8)

g(f(x)) = √(x^2 +17)

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3 years ago

Simplify the product using FOIL. (3x + 4)(2x – 6)

Arturiano [62]

Answer:

6x^2 - 10x - 24

Step-by-step explanation:

Do 3x times 2x which is 6x^2
Do 3x times - 6 which is -18x
Do 4 times 2x which is 8x
Do 4 times - 6 which is - 24
You get 6x^2 - 18x + 8x - 24
Simplyify to get the answer

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4 years ago

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