Answer:
C
Step-by-step explanation:
Given
x² - 10x + 24 = 0
Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 4 and - 6, since
- 4 × - 6 = + 24 and - 4 - 10 = - 10, hence
(x - 4)(x - 6) = 0 ← in factored form → C
Answer:
-2 ft/min
Step-by-step explanation:
If Kim dropped for a total of 8 feet over the course of 4 minutes, then 8 feet/4 min equals 2 ft/min, but because they are dropping it should be negative.
Answer:
x = π/6, π/2, 5π/6, 3π/2
Step-by-step explanation:
cos x = sin(2x)
Use double angle formula.
cos x = 2 sin x cos x
Move everything to one side and factor.
cos x − 2 sin x cos x = 0
cos x (1 − 2 sin x) = 0
Set each factor to 0 and solve.
cos x = 0
x = π/2, 3π/2
1 − 2 sin x = 0
sin x = 1/2
x = π/6, 5π/6
The total solution is:
x = π/6, π/2, 5π/6, 3π/2
Answer:
Sorry. What's the question?
Answer:
1/3(5.2)h cm³
Step-by-step explanation:
A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm. Which expression represents the volume of the pyramid?
One-fifth(5.2)h cm3 StartFraction 1 Over 5 h EndFraction(5.2)h cm3
One-third(5.2)h cm3 StartFraction 1 Over 3 h EndFraction(5.2)h cm3
Volume of the pyramid = 1/3 × area × height
Area = 5.2 cm²
Height = h cm
Volume of the pyramid = 1/3 × 5.2 cm² × h cm
= 1/3(5.2)h cm³
