You'll notice that 36's prime factors had 2 even, and none other had an even number of even prime factors. Therefore, if you have an even number of even prime factors, your square root will be rational given the data
Answer:
Solution: x = -2; y = 3 or (-2, 3)
Step-by-step explanation:
<u>Equation 1:</u> y = -5x - 7
<u>Equation 2:</u> -4x - 3y = -1
Substitute the value of y in Equation 1 into the Equation 2:
-4x - 3(-5x - 7) = -1
-4x +15x + 21 = -1
Combine like terms:
11x + 21 = - 1
Subtract 21 from both sides:
11x + 21 - 21 = - 1 - 21
11x = -22
Divide both sides by 11 to solve for x:
11x/11 = -22/11
x = -2
Now that we have the value for x, substitute x = 2 into Equation 2 to solve for y:
-4x - 3y = -1
-4(-2) - 3y = -1
8 - 3y = -1
Subtract 8 from both sides:
8 - 8 - 3y = -1 - 8
-3y = -9
Divide both sides by -3 to solve for y:
-3y/-3 = -9/-3
y = 3
Therefore, the solution to the given systems of linear equations is:
x = -2; y = 3 or (-2, 3)
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Use the formula:

B refers to the base and H refers to the height of the triangle.
As such, multiply both the base and height of the triangle and divide the answer by 2, to find the area of the triangle.
Answer:
12 and 7 meters
Step-by-step explanation:
The area is 84 square meters and the width is 5 meters less than the length. 12 is the length and 7 is the width. 7 is 5 less than 12, and 12*7=84.
The length is 12 and the width is 7
ANSWER
See explanation
EXPLANATION
The table contains these two points (-4,-3) and (2,-4.5)
The slope of this line is given by;



The y-intercept can be obtained by finding the equation of the line in the form:

We plug in the slope and the point (-4,-3) to find c.
This implies that,



Hence the y-intercept is -4.
The given line is

This is already in the slope intercept form:
The slope is

The y-intercept is c=1