Answer:
Given system of equations:
To solve by substitution, equate the equations and solve for x:
Therefore, the x-values of the solution are and .
To find the y-values of the solution, substitute the found values of x into the functions:
Therefore, the solutions to the given system of equations are:
and
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Step-by-step explanation:
Point slope form: (y−y1) = m (x−x1), where (x1,y1) is the point, and m is the slope.
(y- (-4)) = (5/6)*(x - 8)
(y + 4) = (5/6)*(x - 8)
If you want in standard form
(y + 4) = (5/6)*x - (5/6)*8
y = (5/6) x - (5/6)*8 - 4
y = (5/6)x - (16/6)
Answer:
(y + 4) = (5/6)*(x - 8)
9514 1404 393
Answer:
√629 ≈ 25.08
Step-by-step explanation:
The distance formula is useful for this.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((-12 -13)² +(6 -8)²) = √(625 +4) = √629 ≈ 25.08
The distance between the points is about 25.08 units.
Answer: A
Step-by-step explanation:
Letting ,
Also, the domain of an inverse is the same as the range of the original function, so the range is
Answer:
x = 0
y = -2
Step-by-step explanation:
The given system of equation are:
5x + y = -2
2x - 2y = 4
The problem here is to find x and y from the expression
5x + y = -2 ----- i
2x - 2y = 4 ---- ii
So;
i x 2 : 10x + 2y = -4 ---- iii
ii x 5 : 10x - 10y = 20 ----- iv
iii - iv; 12y = -24
y = -2
Now find x;
5x + y = -2
5x - 2 = -2
x = 0