Answer:
f(x) = 5x - 5
Step-by-step explanation:
Let the equation of the linear function is,
f(x) = mx + b
Here, m = Slope of the graph
b = y-intercept
Slope of the line passing through
and
is given by,
m = 
From the table attached,
Slope of the line passing through (2, 5) and (6, 25) will be,
m = 
m = 5
Equation of the linear function will be,
f(x) = 5x + b
Since, a point (10, 45) lies on the function,
45 = 5(10) + b
b = 45 - 50
b = -5
Equation of the linear function will be,
f(x) = 5x - 5
Answer:
x = -4; y = -3
Step-by-step explanation:
2x - 5y = 7
3x - y = -9
Rewrite top equation. Multiply both sides of bottom equation by -5. Add equations. This eliminates y, and we solve for x.
2x - 5y = 7
(+) -15x + 5y = 45
----------------------------
-13x = 52
Divide both sides by -13.
x = -4
Substitute -4 for x in the first original equation and solve for y.
2x - 5y = 7
2(-4) - 5y = 7
-8 - 5y = 7
-5y = 15
y = -3
Answer: x = -4; y = -3
-5 =
Step-by-step explanation:

Answer:
The short side is 5ft and the longer side 12ft
Step-by-step explanation:
I knew that the hypotenuse was 13 so it couldn’t be more than 13. I was guessing at numbers until I got to 5 then added 7. After I use Pythagorean theorem to check and I got 13.