The fish is 2.25 ft above the water surface.
Step-by-step explanation:
- Step 1: Given expression for height of the fish above the water surface, y = -16x² + 12x where x is time in seconds. Find height after 0.375 seconds
⇒ y = -16(0.375)² + 12 × 0.375
= -2.25 + 4.5
= 2.25 ft
Angle A ~ Angle FEC
Angle B ~ Angle EFC
Angle BDA ~ Angle FCE
AB ~ EF
BD ~ FC
AD ~ EC
The slope is 1.
Step-by-step explanation:
If there are 45 beads, with a ratio of
Then,
Then if
Then
Therefore,
Meaning, there would be a ratio of 36 beads to 9 beads
Answer:
Step-by-step explanation:
As they are in proportion,
x +4 : x +12 :: x -1 : x + 5
Product of means = Product of extremes
(x + 12)(x -1) = (x +4)(x+5)
Use FOIL method for polynomial multiplication
x*x + x*(-1) + 12*x + 12*(-1) = x*x + x*5 + 4*x + 4*5
x² - x + 12x - 12 = x² + 5x + 4x + 20
Combine like terms
x² + 11x - 12 = x² + 9x + 20
x² + 11x - 12 - x² - 9x - 20 = 0
Combine like terms
x² - x² + 11x -9x -12 -20 = 0
2x - 32 = 0
2x = 32
x = 32/2
x = 16
