3 years ago

How many degrees would you need to rotate a figure for the image to coincide with the preimage

Mathematics

1 answer:

trasher [3.6K]3 years ago

8 0

160 degrees or 180 degrees

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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 $4\sqrt{17}$ .

5 0

4 years ago

Use front-end estimation to estimate the sum. 13.3+2.8+5.6 a.about 20 b. about 23 c. about 22 d.about 25

poizon [28]

Answer:

C. About 22

Step-by-step explanation:

13.3 + 2.8 + 5.6

= 21.7

Since 21.7 is close to about 22, we can conclude that C is the final answer.

5 0

4 years ago

Wats da distance between 13 and -5

levacccp [35]

You would add them together if it’s on a number line bc u have to go 5 to get to 0 then another 13 so 13+5=18

6 0

2 years ago

Read 2 more answers

PLEASE ANSWER ASASP!!!!!!<br> 5(x + 4) = 25<br> what is x?

coldgirl [10]

Answer: x=1

Step-by-step explanation:

Trust me ;)

6 0

3 years ago

Read 2 more answers

Line r has a slope of -5/2 line s has a slope of 2/5 are line r and line parallel or perpendicular

Elis [28]

Vocab:
Parallel = same slope
Perpendicular = opposite sign and reciprocal slope

-5/2 opposite and reciprocal = 2/5

Solution: they are perpendicular

4 0

3 years ago