Answer:
14
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
__
You have ...
(x^3)(x^a) = x^17
x^(3+a) = x^17
Equating exponents, we get ...
3 +a = 17
a = 14
The missing exponent is 14.
Answer:
3,6,9,12
Step-by-step explanation:
Add 3 to every number after 3.
Answer:
Hypotenuse MN = 10.54 ft (Approx.)
Step-by-step explanation:
Given:
Base OM = 9.6 ft
Angle θ = 13'
Find:
Hypotenuse MN
Computation:
Using trigonometry function
Cos θ = Base / Hypotenuse
Cos 13 = 9.6 / Hypotenuse
0.97 = 9.6 / Hypotenuse
Hypotenuse MN = 10.54 ft (Approx.)
Let x be the speed.
Maximum is 65 so x needs to be less than or equal to 65.
The minimum is 45, so x also has to be greater than or equal to 45
45 <= x => 65
The point slope form of the line has the following form:
y – y1 = m (x – x1)
The slope m can be calculated using the formula:
m = (y2 – y1) / (x2 – x1)
m = (3 - 0) / (0 – 4) = - ¾
So the whole equation is:
y – 0 = - ¾ (x – 4)
y = - ¾ (x – 4) or
<span>y = - 0.75 (x – 4)</span>
