Answer: (3.5,-2)
Step-by-step explanation:
To solve this problem, all we have to do is plug in y=-2 into either equations from step one to find the coordinate. To make sure we have the right x-coordinate, let's plug in y for both equations.
4x-7y=28 [plug in y=-2]
4x-7(-2)=28 [multiply]
4x+14=28 [subtract both sides by 14]
4x=14 [divide both sides by 4]
x=3.5
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6x-5y=31 [plug in y=-2]
6x-5(-2)=31 [multiply]
6x+10=31 [subtract both sides by 10]
6x=21 [divide both sides by 6]
x=3.5
Now, we know the solution to the system is (3.5,-2).
Answer:
Midpoint = (-3, 4.25)
Step-by-step explanation:
![\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-6,\:8\right),\:\left(x_2,\:y_2\right)=\left(0,\:0.5\right)\\\\=\left(\frac{0-6}{2},\:\frac{0.5+8}{2}\right)\\\\= (\frac{-6}{2} , \frac{8.5}{2} )\\\\Simplify\\\\=\left(-3,\:4.25\right)](https://tex.z-dn.net/?f=%5Cmathrm%7BMidpoint%5C%3Aof%5C%3A%7D%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3A%5Cquad%20%5Cleft%28%5Cfrac%7Bx_2%2Bx_1%7D%7B2%7D%2C%5C%3A%5C%3A%5Cfrac%7By_2%2By_1%7D%7B2%7D%5Cright%29%5C%5C%5C%5C%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%3D%5Cleft%28-6%2C%5C%3A8%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3D%5Cleft%280%2C%5C%3A0.5%5Cright%29%5C%5C%5C%5C%3D%5Cleft%28%5Cfrac%7B0-6%7D%7B2%7D%2C%5C%3A%5Cfrac%7B0.5%2B8%7D%7B2%7D%5Cright%29%5C%5C%5C%5C%3D%20%28%5Cfrac%7B-6%7D%7B2%7D%20%2C%20%5Cfrac%7B8.5%7D%7B2%7D%20%20%29%5C%5C%5C%5CSimplify%5C%5C%5C%5C%3D%5Cleft%28-3%2C%5C%3A4.25%5Cright%29)
Answer:
9/10
Step-by-step explanation:
You can write 9 as the numerator (top number), and 10 as the denominator (bottom number), and that will be equivalent to 0.9
Answer:
B
Step-by-step explanation:
the area of a parallelogram is the length of one of the sides multiplied with the length of the height on this side.
so, in this case it is
4×5 = 20 cm²