Question 1. Midpoint
Answer: M(-2,4)
Explanation:
1) The coordinates of the midpoint, M (x,y) between two points (x₁,y₁) and (x₂, y₂) are:
x = (x₁ + x₂) / 2 and y = (y₁ + y₂) / 2
2) Replacing the coordinates of the given points P (-4, 1) and Q (0,7) you get:
x = (- 4 + 0) / 2 = - 2, and
y = (1 + 7) / 2 = 4
So, the answer is M (-2,4)
Question 2: The distance between the two midpoints is:
Answer: 7.21
Explanation:
1) Use the formula of distance, which is an application of Pythagora's theorem:
d² = (x₂ - x₁)² + (y₂ - y₁)²
2) Substitute values:
d² = (0 - (-4))² + (7 - 1)² = 4² + 6² = 16 + 36 = 52 ⇒ d = √52 ≈ 7.21
Answer:
Pointillism
Step-by-step explanation:
Answer:
Part 1) The rate is 
Part 2) 
Step-by-step explanation:
Part 1)
we know that
A cyclist rides her bike at a rate of 12 meters per second
Remember that
1 hour=3,600 seconds
1 kilometer=1,000 meters
therefore
Part 2) How many kilometers will the cyclist travel in 3 hours?
using proportion
Answer:
True
Step-by-step explanation:
Residual standard deviation is the square root of the residual variance. It is an estimate of the error made on the measurement of the dependent variable.
Thus, the spread around the regression model is usually measured with the residual standard deviation because it is the measurement of standard error between actual and predicted value.
4⁻³ · 12⁰
Remember, if a power is ever negative, then you have to turn it into a fraction, and if a power is zero, then the whole number turns into 1 :)
4⁻³ turns into 1/4³ due to the fact that the power is negative.
So, our question now looks like this :
1/4³ · 1
Simplify.
1/64 · 1
Simplify.
Our answer is : 1/64
~Hope I helped!~
