Answer:
x = -8
Step-by-step explanation:
-8x + 3(x - 5) = 25
Distribute the 3 into the (x - 5).
-8x + 3x - 15 = 25
Combine like terms.
-5x - 15 = 25
Add 15 to both sides.
-5x = 40
Divide both sides by -5.
x = -8.
Proof:
-8x + 3(x - 5) = 25
Substitute variable.
-8(-8) + 3((-8) - 5) = 25
Subtract inside parenthesis.
-8(-8) + 3(-13) = 25
Multiply -8 and -8.
64 + 3(-13) = 25
Multiply 3 and -13.
64 + (-39) = 25
Add 64 and -39.
25 = 25
There is only one solution.
y = x+2
x = -1
Substitute x = -1 in y = x+2
y=-1+2
y = 1
We only get the single value of y and x so It's clear that there's only one solution.
Slope intercept form
y=mx+b
m=slope
b=yintercept
slope for the line passing through the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(2,-2) and (2,-3)
slope=(-3-(-2))/(2-2)=(-1)/0=undefined
y=undefinedx
this means that the equation is x=something
we see
(x,y)
(2,-2)
(2,-3)
x=2 is the equation
we cannot write it in slope intercept form
Answer:
√16×81 = 4×9 or √1296 = 36
√16×√81 = 4×9 = 36
Step-by-step explanation:
√81×16
We simplify 81 and 16 by prime factorisation (expressing a number as a product of its prime factors).
√81 = √3×3×3×3 = √9×9 = √9² = 9
√16 = √2×2×2×2 = √4×4 = √4² = 4
