First you have to rewrite the equation:
(x ÷ 4) + 8 = 38
Second you have to write the division as fraction:
(¼x) + 8 = 38
Third you have to take off the unecessary bracket:
¼x + 8 = 38
Fourth multiply 8 and 38 by 4
x + 32 = 152
Fifth step move the constant to the right hand and change the sign.
x = 152 - 32
Then subtract:
x = 120
Hope this helps :))
Ok, here we go. Pay attention. The formula for the arc length is

. That means that to use that formula we have to find the derivative of the function and square it. Our function is y = 4x-5, so y'=4. Our formula now, filled in accordingly, is

(that 1 is supposed to be negative; not sure if it is til I post the final answer). After the simplification we have the integral from -1 to 2 of

. Integrating that we have

from -1 to 2.

gives us

. Now we need to do the distance formula with this. But we need 2 coordinates for that. Our bounds are x=-1 and x=2. We will fill those x values in to the function and solve for y. When x = -1, y=4(-1)-5 and y = -9. So the point is (-1, -9). Doing the same with x = 2, y=4(2)-5 and y = 3. So the point is (2, 3). Use those in the distance formula accordingly:

which simplifies to

. The square root of 153 can be simplified into the square root of 9*17. Pulling out the perfect square of 9 as a 3 leaves us with

. And there you go!
Answer:
The ratio of the areas of the smaller rectangle to the larger rectangle is 
Step-by-step explanation:
we know that
if two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale factor
x-----> the area of the smaller rectangle
y----> the area of the larger rectangle
so

substitute the values

simplify

That means, the area of the larger rectangle is 9 times the area of the smaller rectangle
------> the scale factor
That means, the dimensions of the larger rectangle is 3 times the dimensions of the smaller rectangle
Answer:
x = -21
Step-by-step explanation:
62 + 2x - 20 = 0.
Combine like terms
42 +2x =0
Subtract 42 from each side
42-42 +2x = 0-42
2x = -42
Divide each side by 2
2x/2 = -42/2
x = -21
Step-by-step explanation:
All steps are in pic above.
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