D = sq.root of((x2 - x1)^2 + (y2 - y1)^2)
sq.root of 13 = sq.root of((x - (-2))^2 + (1 - 3)^2)
= sq.root of((x + 2)^2 + (-2)^2)
= sq.root of (x^2 + 4x + 4 + 4)
= sq.root of (x^2 + 4x + 8)
Now if we square both sides:
x^2 + 4x + 8 = 13
x^2 + 4x - 5 = 0
(x + 5)(x - 1) = 0
x = -5 or x = 1
Answer: 11 1/9
Step-by-step explanation:
Answer:
1200 shirts were sold.
400 pants were sold.
Step-by-step explanation:
The ratio of shirts to pants sold = 3:1 (difference of 2)
800 ÷ 2 = 400
Ratio x 400 = 1200:400 (difference of 800)
Answer:
The area of the base is <u>126 mm²</u>.
Step-by-step explanation:
Given:
A rectangular prism that has a 9mm width and 8mm height and a 14mm length.
Now, to find the area of the base of the rectangular prism.
The dimensions of rectangular prism are:
Length = 14 mm.
Width = 9 mm.
Height = 8 mm.
Now, to get the volume of rectangular prism by putting formula:

<u><em>Thus, the volume of rectangular prism is 1008 mm³.</em></u>
Now, to get the area of the base we put formula:

Dividing both sides by 8 we get:

Therefore, the area of the base is 126 mm².
-31/8 equalss -3.88 so -3.88 > -3.92