Answer:
3
Step-by-step explanation:
A median intersects at the midpoint of the opposite length. The midpoint is:
x,m = (4+-2)/2 = 1
y,m = (-1+7)/2 = 3
The midpoint is at (1,3). With this point and point R(9,9), the equation would be:
y = mx + b, where
m = (9 - 3)/(9 - 1) = 0.75
b is the y-intercept
Substituting any point,
3 = 0.75(1)+b
b = 2.25
Thus, the equation for the median is:
y = 0.75x + 2.25
Considering the perimeter of a square, it is found that:
- The length of one side of the garage originally was of 61.5 ft.
- The length of one side of the garage now is of 92.25 ft.
- The percent increase in the length of one side was of 50%.
<h3>What is the perimeter of a square?</h3>
The perimeter of a square of side length s is given by four times the length, that is:
P = 4s.
Before the change, the perimeter was of 246 ft, hence:
4s = 246
s = 246/4
s = 61.5.
The length of one side of the garage originally was of 61.5 ft.
After that, the perimeter increased by 50%, hence:
P = 246 x 1.5 = 369.
4s = 369
s = 369/4
s = 92.25.
The length of one side of the garage now is of 92.25 ft.
The percent increase is the increase divided by the initial value, hence:
(92.25 - 61.5)/61.5 = 50%.
The percent increase in the length of one side was of 50%.
More can be learned about the perimeter of a square at brainly.com/question/10489198
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Answer:
DF
Step-by-step explanation:
The side opposite the largest angle has the longest measurement
<E has the largest measurement so DF is the longest side
Step-by-step explanation:
The coefficients of the y terms are -3 and 2. The least common multiple of 3 and 2 is 6. So multiply the first equation by 2 and the second equation by 3, so that the y terms have a coefficient of 6.
4x − 6y = 42
-18x + 6y = 21
The signs are opposite, so add the equations together.
-14x = 63
x = -9/2
