Number 12. is B number 13. is B. number 14. is D
Answer:
Dimensions are 20 X 44 feet
Step-by-step explanation:
First we need to build two equations:
For area X times Y = 880
For Perimeter 2x + 2y = 128
Now we need to solve one so we can substitute it into the other:
2x + 2y = 128 becomes
2x = 128 - 2y and then
x = 64 - y We will substitute this into the are equation
(64 - y)y = 880
64y -
= 880
-
factor out the negative
-(
Factor:
-(y - 20)(y - 44) = 0
y-20 = 0 and y - 44 = 0
y = 20 and y = 44
Plugging these in two both of our formulas works
20 X 44 = 880 for area
2(20) + 2 (44) = 128 for perimeter
The equation of the circle with center at (2,-4) and tangent to the line x = -2 is given by:
(2) (x - 2)² + (y + 4)² = 16
<h3>What is the equation of a circle?</h3>
The equation of a circle of center
and radius r is given by:

The circle has center at (2,-4), hence
.
The center is tangent to the line x = -2, hence it has a point at x = -2, since |-2 - 2| = 4, r = 4 -> r² = 16.
Hence the equation of the circle is given by:
(2) (x - 2)² + (y + 4)² = 16
More can be learned about the equation of a circle at brainly.com/question/24307696
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Answer:
200 minutes ; 3 hours and 20 minutes.
Step-by-step explanation:
If you write a proportion in the form
miles/minutes = miles/minutes
you would get 3/50 = 12/x
from there you cross multiply to get
3x=600, and solve that to get 200 minutes.
another way was to see that 12 is 3*4, and multiply 50 by 4 to get the same answer.
Answer:
1.15:)
Step-by-step explanation: