Answer:
B. 30 ft
Step-by-step explanation:
The ladder is 32 ft long
The angle of elevation of the ladder is 70°
The height (h) of the top of the ladder to the ground is what we are to find.
= sin 70°
h = 32 × sin 70° = 30.07016387 or 30 ft (rounded off to nearest feet)
Answer:
f(x) = 3(0.2)^x
Step-by-step explanation:
The leading coefficient is 3 as x = 0 gives f(x) = 3.
When x = 1, f(x) = 0.6. so try :
0.6 =3(1.2)^1 = 3.6 so it's not the fiirst choice.
0.6 = 3(0.2)^1 = 0.6 so its last choice.
Check when x = -1:
3(0.2)^-1
= 3/ 0.2
= 15
Answer: Vertex (-2,-15) and therefore the axis of sym will be -2
Step-by-step explanation: Using -b/2a you can deduce that 4x^2 is a, 16x is b and 1 is c. So -b/2a = -16/8 = -2. Then you plug -2 for y and yu should get -15. Then x will be your axis of symetry to x=-2
The standard form of a line is in the form

A, B and C are integers, and A is positive. Let's start with multiplying the whole equation by 3 to get rid of denominators:

Subtract 3y from both sides:

Which of course is equivalent to

Which is the standard form, given the coefficients A=1, B=-3, C=6.