Answer:
The answer is yes.
Step-by-step explanation:
All you have to do is substitute the y, which is 5, and the x, which is 2, into the equation. When you solve it the answer in the end will be 5=5, which means that point (2,5) does line on that line.
Answer:
12 cm = 21.62 miles
6 cm = 11.04 miles
Step-by-step explanation:
To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of
and simplify.
We know
. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write
and
We set them equal.
and
To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

and

Answer:
y = 1/2x - 3/2
Step-by-step explanation:
The easiest way to find the inverse is to switch x and y and solve for y.
y = 2x + 3
x = 2y + 3 (Switch)
x-3 = 2y (Subtract y from both sides)
x/2 - 3/2 = y (Divide both sides by 2)
Answer:
a 8
Step-by-step explanation:
You are given two sides and the included angle. Since you don't have any side and the opposite angle, you must use the law of cosines.





Answer: a = 8 cm
f(x) = 5x²
f(10) = 5(10)² = 5(100) = 500
f'(x) = 10x
f'(10) = 10(10) = 100
Now, find the line that passes through (10, 500) and has a slope of 100
y - y₁ = m(x - x₁)
y - 500 = 100(x - 10)
y - 500 = 100x - 1000
y = 100x - 500