In the expression 4 to the power of 9, the number 9 is called the D. exponent.
Number four here is the base, and the exponent is always shown as a superscript to the right of the base. It shows how many times you are supposed to multiply the base by itself.
Look at the picture.
Therefore we have the equation:
10y - 29 = 7y + 19 <em>add 29 to both sides</em>
10y = 7y + 48 <em>subtract 7y from both sides</em>
3y = 48 <em>divide both sides by 3</em>
y = 16
3x + 7 = 5x - 21 <em>subtract 7 from both sides</em>
3x = 5x = -28 <em>subtract 5x from both sides</em>
-2x = -28 <em>divide both sides by (-2)</em>
x = 14
a. Parameterize
by

with
.
b/c. The line integral of
over
is




d. Notice that we can write the line integral as

By Green's theorem, the line integral is equivalent to

where
is the triangle bounded by
, and this integral is simply twice the area of
.
is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.
Let the measure of side AB be x, then, the measue of side AE is given by

.
Now, ABCD is a square of size x, thus the area of square ABCD is given by

Also, AEFG is a square of size

, thus, the area of square AEFG is given by

<span>The sum of the areas of the two squares ABCD and AEFG is given by

Therefore, </span>the number of square units in the sum of the areas of the two squares <span>ABCD and AEFG is 81 square units.</span>