Answer:
10.2 feet.
Step-by-step explanation:
We have been given that Derek places a standard 12-inch ruler next to the goal post and measures the shadow of the ruler and the backboard. If the ruler has a shadow of 10 inches. We are asked t find the height of the backboard, if the backboard has a shadow of 8.5 feet.
We will use proportions to solve our given problem as ratio between sides ruler will be equal to ratio of sides of background.
Therefore, the actual height of the back-board is 10.2 feet.
Answer:
.25
Step-by-step explanation:
2 eggs are pink
4 eggs are purple
2 eggs are orange
-----------------------
8 total eggs
P( orange) = orange eggs/ total eggs
= 2/8
= 1/4
= .25
C
expand factors, sum like terms and divide by 2
(x + 2)² + (x - 2)² = x² + 4x + 4 + x² - 4x + 4 = 2x² + 8
(2x² + 8 ) = x² + 4 → C
A) x=-2,1,3(x+2)(x-1)(x-3)=0(x+2)(x2-4x+3)=0x3-4x2+3x+2x2-8x+6=0x3-2x2-5x+6=0 b) x=-3,3,i and also -i(x-3)(x+3)(x-i)(x+i)=0(x2-9)(x2-i2)=0(x2-9)(x2+1)=0x4-9x2+x2-9=0x4-8x2-9=0 c) x=-2,-2,2-3i (also 2+3i), 4+√2 (also 4-√2)(x+2)(x+2)(x-[2-3i])(x-[2+3i])(x-[4+√2])(x-[4-√2])(x2+4x+4)(x2-[2-3i]x-[2+3i]x+4-9i2)(x2-[4+√2]x-[4-√2]x+16-2)(x2+4x+4)(x2-4x+13)(x2-8x+14)you now multiply all three trinomials together
