Answer:
Step-by-step explanation:
The diagonals of a rectangle have the same midpoint, so for points A, B, C, D, we must have ...
(A+C)/2 = (B+D)/2
D = A + C - B
D = (-2, -8) +(8, 2) -(-2, 2) = (-2+8+2, -8+2-2)
D = (8, -8)
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The side lengths are 2-(-8) = 10, and 8-(-2) = 10. The area is the product of the side lengths, so is 10×10 = 100 square units.
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<em>Comment on side lengths</em>
When the end points of one side are on the same vertical line, the length of that side is the difference of y-coordinates. When the points lie on the same horizontal line, the side length is the difference of x-coordinates.
Answer:
260
Step-by-step explanation:
The formula is base times height
Angle F is equal to angle G so 5x + 18 = 7x-12 so you would solve for x which would equal 15
Answer:
The slope is -10, and the y-intercept is 1
Step-by-step explanation:
The slope is in the equation and always has a variable next to it (In this case, -10x, so -10 is the slope)
The y-intercept is 1 and that is also in the equation and does not have any variables next to it (In this case, + 1, so it is 1)
Answer:
(x + 4) and (x + 1)
Step-by-step explanation:
x² + 5x + 4
Consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (+ 5)
The factors are 4 and 1 , since
4 × 1 = 4 and 4 + 1 = 5 , then
x² + 5x + 4 = (x + 4)(x + 1) ← in factored form
