Needs to be done on a graph
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
So basically -3 x 16. Yeilds -48
Answer:
-249387
Step-by-step explanation:
1) Write out the problem
-5+-10-41562*6
2) Following order of operations, multiply -41562 by 6:
-5+-10-249372
3) Solve -5+-10:
-15-249372
4) Subtract:
-249387
Answer: 1.8
Step-by-step explanation:
Amount saved= $135
Amount planned to save= $75
Fraction= 135/75 = 9/5
Decimal= 1.8