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
14 cups. 2.33 (2 1/3 in decimal form) multiplied by 6 (the number of children) equals 13.98 (round to 14)
Answer:
The percentage score is 38.52%
Step-by-step explanation:
Conversion of a proportion to a percentage:
To convert from a proportion to a percentage, we multiply by 100%, that is, the decimal point is moved two positions to the right, and the percentage sign is placed in the number.
In this question:
Proportion .3852
0.3852*100% = 38.52%
The percentage score is 38.52%
