Answer:
Midpoint....; (0,-6)
Step-by-step explanation:
Midpoint of the segment
= [(sum of x-coordinates) ÷ 2] , [(sum of y-coordinates) ÷ 2]
Midpoint = [( 3 + (-3))÷ 2 , (-5 + (-7))÷ 2]
Midpoint = ( 0/2 , -12/2 )
Midpoint = (0,-6)
Answer:
20 % are red
Step-by-step explanation:
I THINK this is what you mean:
24 blue + 6 red = 30 blocks total
6 red / 30 total = 6/30 = .2 = 20 %
Answer:
Step-by-step explanation:
Answer:
63/h - 3.14
Step-by-step explanation:
Quotient means divide.
So the answer to the division is a quotient. 63/h is the quotient of the division.
Less means subtract so the subtraction that is taking place is
63/h - 3.14 and that's your answer.
Often with these questions, you start backwards as in this question.
Answer:
18ft wide and 33 ft long
Step-by-step explanation:
We are told in the question that:
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.
The Area of the carpeting she must have = 594 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
594ft² = Length × Width
594ft² = (20 - x) (35 - x)
594 = 700 - 20x - 35x + x²
594 = 700 - 55x + x²
Collect like terms
x² - 55x + 700 - 594
x² - 55x + 106
We factorise
x² - 2x - 53x + 106
(x² - 2x) -(53x + 106)
x(x - 2) -53(x - 2)
(x - 2)(x - 53)
x - 2 = 0, x = 2
x - 53 = 0, x = 53
We choose the least value for x
Hence, x = 2
Length = 20 - 2 = 18ft
Width = 35 - 2 = 33ft
The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long
