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
Its Infinitely many solutions then the answer is A
Answer: The first one
Step-by-step explanation:
A-- (x)(.10)= New cost
B--New cost-2000= Cost after 10% discount and 2,000 discount
C--You'll have find what number mulitiplied by(.10) equals $18,000
D-- $18,000 is the price with the $2,000 already taken out, so now you just do 18,000(.10)=
Answer: The selling price of the coffee maker is $92.04
If the original cost is $76.70 but the company wants to make profit from the product, meaning they want to sell it higher than what they purchased it for in order to gain money, then you add the markup cost to the original cost (20%).
$76.70 + 20% of $76.70
=$76.70 + $15.34
=$92.04 selling price of coffee maker.