Answer:
x =-4
Step-by-step explanation:
4x+9 = -2x-15
Add 2x to each side
4x+2x +9 = -2x+2x-15
6x+9 = -15
Subtract 9 from each side
6x +9-9=-15-9
6x = -24
Divide each side by 6
6x/6 = -24/6
x = -4
Step-by-step explanation:








Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)
slope intercept form :
y=m+b
m=slope
If the line is parallel to y=2/3 x-0, the line will have the same slope, therefore the slope will be: 2/3.
Data:
(8,4)
m=2/3
y-y₀=m(x-x₀)
y-4=2/3(x-8)
y-4=2/3 x-16/3
y=2/3 x-16/3+4
y=2/3 x-4/3 (slope intercept form)
Answer: The equation of the line would be: y=2/3 x-4/3.
if we have the next slope "m",then the perendicular slope will be:
m´=-1/m
We have this equation: y=2/3 x+0; the slope is: m=2/3.
The perpendicular slope will be: m`=-1/(2/3)=-3/2
And the equation of the perpendicular line to : y=2/3 x+0, given the point (8,4) will be:
y-y₀=m(x-x₀)
y-4=-3/2 (x-8)
y-4=-3/2 x+12
y=-3/2x + 12+4
y=-3/2x+16
answer: the perpendicular line to y=2/3 x+0 , given the point (8,4) will be:
y=-3/2 x+16
Answer:
Step-by-step explanation:
BC = 60
CA = 45
AB = sqrt(45^2 + 60^2)
AB = sqrt(2025 + 3600)
AB = sqrt(5625)
AB = 75
Answer:
Step-by-step explanation:
We can write them both like functions like this
Where
x=input
A=Output A
B=Output B
We want the output of A 3 times the output of B this can be written like this:
we replace with the functions
we solve for x
The output that makes the out put of A 3 times teh output of B is