x = sqrt (10^2 - 5^2 ) =
sqrt (100 - 25) =
sqrt (75) =
sqrt (25) * sqrt (3) =
5sqrt(3)
sqrt (-2) + sqrt (-18) =
i * sqrt (2) + i * sqrt (9 * 2) =
i * sqrt (2) + i * sqrt (9) * sqrt (2) =
i * sqrt (2) + i * 3 *sqrt (2) =
i * sqrt (2) + 3i * sqrt (2) =
4i * sqrt (2) =
4sqrt (2) i
(4a+2) (5a+4) =
20a^2 + 10a + 16a + 8 =
20a^2 + 26a + 8
We can write
2x = - 3y divide both sides by 2
x = (-3/2)y
f (x) = 9x^3 + 2x^2 - 5x + a and g (x) = 5x^3 - 7x + 4. What is f (x) - g(x)
f(x) - g(x) =
[ 9x^3 + 2x^2 - 5x + a ] - [ 5x^3 - 7x + 4 ] =
4x^3 + 2x^2 + 2x + a - 4
a. <H = <B
b. GH / DJ = AB / DC
Area = pi x radius^2 = pi x 21^2 ≈ 1385.44 units^2
A) A ratio of 2:1 means that he uses 2 cups of yellow paint for each cup of blue paint.
B) The amount of blue paint he uses is 1/2 that of the yellow he uses......then for each cup of yellow paint he uses 1 * (1/2) = 1/2 cup of blue paint.
C) $54 / 6 = $9 per cup
82 / 73.8 = 47 / FG cross-multiply
82 * FG = 47 * 73.8 divide both sides by 82
FG = [ 47 * 73.8 ] / 82 = 42.3 m
Each side of the larger figure is 4 times the length of its respective side in the smaller figure....so...
4 (2.5) = x - 3
10 = x - 3 add 3 to both sides
13 = x
