Answer:
Step-by-step explanation:
Perpendicular lines will have slopes that are the multiplicative additive inverse of each other: a line with slope 3/4 is perpendicular to a line with slope -4/3, for example. You need a line that is perpendicular to a line with slope -2 (reading that from the -2 in the -2x portion of the given equation, which is written in slope-intercept form), so your new line must have slope +1/2.
With the slope and a point, we can come up with an equation using this formula:
y - y-coordinate = slope (x - x-coordinate)
So we have y - (-2) = 1/2 (x - 4).
Simplify the equation: y + 2 = 1/2 x - 2
Subtract 2 from both sides: y + 2 - 2 = 1/2 x - 2 - 2
Simplify: y = 1/2 x - 4.
Answer: It should be 18...(Multiple of 9)
Step-by-step explanation:
If a coral reef grows at a steady rate every week, then to find how much it grows in 12 weeks, we need to multiply the growth rate by 12 weeks. Also, since we want our answer in centimeters, we can change the growth rate to centimeters. 0.15m = 15cm
15cm * 12 = 180cm
The coral reef will grow 180cm in 12 weeks.
Answer:
See explanation below.
Step-by-step explanation:
Given: 100 lbs on Earth is 16.6 lbs on the moon.
a. The independent variable is weight. The gravity of the Moon and the gravity of the Earth are constant. Weight can change, but gravity is a constant.
b. An equation that relates the weight of someone on the Moon who travels to the Earth:
100 / 16.6 = 6.02. Take the Moon weight and multiply by 6.02:
Moon Weight * 6.02 = Earth Weight.
Proof:
16.6 * 6.024 = 99.99 - approximately 100 lbs Earth weight.
c. A 185 lb astronaut on Earth would weigh:
16.6 / 100 = .166. Take the Earth weight and multiply by .166:
185 * .166 = 30 lbs on the Moon.
d. A person who weighs 50 lbs on the Moon:
50 * 6.024 = 301.2 lbs on Earth.
Hope this helps! Have a good day and year! :)
