<span>Quadrilateral ABCD is a parallelogram because both pairs of opposite sides are parallel.
Slope of a line is defined as the difference in Y divided by the difference in X. It doesn't matter which way you do the subtraction as long as you do it in the same order for both X and Y. So let's calculate the slope of AB
A(-5,1)
B(-2,5)
(1 - 5)/(-5 - (-2)) = -4/-3 = 4/3
Slope BC
B(-2,5)
C(5,3)
(5-3)/(-2-5) = 2/-7 = -2/7
Slope CD
C(5,3)
D(2,-1)
(3-(-1))/(5-2) = 4/3
Slope AD
A(-5,1)
D(2,-1)
(1-(-1))/(-5-2) = 2/-7 = -2/7
So our slopes are 4/3, -2/7, 4/3, and -2/7
Since the slopes of AB and CD are identical, those lines are parallel. And since the slopes of both BC and AD are identical, those 2 lines are also parallel. But since 4/3 * -2/7 = -8/21 which is NOT -1, that means that lines AB and BC are NOT perpendicular, so you don't have a rectangle. But you do have a parallelogram because both pairs of opposite sides are parallel.</span>
Answer:
188.4 ft
Step-by-step explanation:
3.14x5^2x2=157 ft
3.14x10=31.4
31.4+157=188.4 ft
Hello from MrBillDoesMath!
Answer: y = -2
Discussion. Using y= mx +b with m = 0, gives
y = b
But what is "b"? The line passes through the point (4,-2) so y = -2. Hence
y = -2
Thank you,
MrB
It would be 8X5=40 and 21/7=3
Answer:
C
Step-by-step explanation:
Given the 2 equations
6x + 2y = 8 → (1)
12x + y = 22 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the y- term
- 24x - 2y = - 44 → (3)
Add (1) and (3) term by term, thus eliminating y
- 18x = - 36 ( divide both sides by - 18 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
6(2) + 2y = 8
12 + 2y = 8 ( subtract 12 from both sides )
2y = - 4 ( divide both sides by 2 )
y = - 2
Solution is (2, - 2 ) → C