What is the solution to the system of equations?
1 answer:
Answer:
(-2, 5/3)
Step-by-step explanation:
y=2/3x+3
x = -2
Substitute x = -2 into the first equation
y = 2/3 (-2) +3
y =-4/3+3
y =-4/3+19/3
y = 5/3
(-2, 5/3)
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X1 = -1
y1 = 4
point-slope form is y - 4 = 2(x+1)
The 2 like terms are 400km +924m
Answer:
15.8
Step-by-step explanation:
round!
Answer:
x = -2
Step-by-step explanation:
![f(x) =x^2 -2x\:\: and \:\: g(x) = 6x + 4\\(f+g)(x) = f(x) + g(x) \\(f+g)(x) = x^2 -2x+ 6x + 4\\(f+g)(x) = x^2+4x + 4\\(f+g)(x) = (x+2)^2\\ 0 = (x+2)^2...[\because (f+g)(x) =0]\\0 = x+2\\\therefore x = -2](https://tex.z-dn.net/?f=f%28x%29%20%3Dx%5E2%20-2x%5C%3A%5C%3A%20and%20%5C%3A%5C%3A%20g%28x%29%20%3D%206x%20%2B%204%5C%5C%28f%2Bg%29%28x%29%20%3D%20f%28x%29%20%2B%20g%28x%29%20%5C%5C%28f%2Bg%29%28x%29%20%3D%20x%5E2%20-2x%2B%206x%20%2B%204%5C%5C%28f%2Bg%29%28x%29%20%3D%20x%5E2%2B4x%20%2B%204%5C%5C%28f%2Bg%29%28x%29%20%3D%20%28x%2B2%29%5E2%5C%5C%200%20%3D%20%28x%2B2%29%5E2...%5B%5Cbecause%20%28f%2Bg%29%28x%29%20%3D0%5D%5C%5C0%20%3D%20x%2B2%5C%5C%5Ctherefore%20x%20%3D%20-2)
let us represent the question with a diagram for better understanding.
Using Pythagoras theorem
![\begin{gathered} c^2=12^2+9^2 \\ c^2=144+81 \\ c=\sqrt[\square]{225} \\ c=15\text{ km} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3D12%5E2%2B9%5E2%20%5C%5C%20c%5E2%3D144%2B81%20%5C%5C%20c%3D%5Csqrt%5B%5Csquare%5D%7B225%7D%20%5C%5C%20c%3D15%5Ctext%7B%20km%7D%20%5Cend%7Bgathered%7D)
The distance between the parents and grandparent house = 15 km