Answer:
y +3 = -6(x +9)
Step-by-step explanation:
The point-slope form of the equation of a line is ...
y -k = m(x -h)
for a line with slope m through point (h, k).
You want the line with slope -6 through point (-9, -3), so its equation is ...
y -(-3) = -6(x -(-9))
y +3 = -6(x +9) . . . . . matches the last choice
Answer:
n=1/2 after being simplified
Step-by-step explanation:
Use Division Distributive Property:
9^n-1=1/3^4n-1 then convert both sides to the same base
3^2(n-1) = 3^-(4n-1)
cancel the base of 3 on both sides
2(n-1) = -4n+1
then expand 2n-2=-4n+1
add 2 to both sides 2n=4n+1+2
simplify: -4n+1+2 to -4n+3
2n=-4n+3
add 4n to both sides: 2n+4n=3
simplify: 2n+4n to 6n
6n=3
divide both sides by 6
n=3/6
simplify and n=1/2
Answer:
x = 19.06 feet
Step-by-step explanation:
Given that,
The length of a tree, h = 16 feet
It casts a shadow which forms an angle of 40° with the ground.
We need to find the length of the shadow. We can find it using trigonometry such that x be the length of the shadow. So,
So, the length of the shadow is 19.06 feet.
Answer:
90 Degrees
Step-by-step explanation:
<LMN is an interior angle whose measure is equal to one-half the measure of its intercepted arc. Since the intercepted arc LN is the diameter of the circle, its measure is 180 degrees, so m<LMN = 90.
Answer:
791.28 in^2
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
The diameter is 12 so the radius is 1/2 d = 1/2(12) =6
V = 3.14 (6)^2 * 7
791.28 in^2