Answer:
m = -5
Step-by-step explanation:
Simplify both sides of the equation.
4(m−2)=2(m−9)
(4)(m)+(4)(−2)=(2)(m)+(2)(−9)(Distribute)
4m+−8=2m+−18
4m−8=2m−18
Subtract 2m from both sides.
4m−8−2m=2m−18−2m
2m−8=−18
Add 8 to both sides.
2m−8+8=−18+8
2m=−10
Divide both sides by 2.
2m/2 = -10/2
m = -5
Answer:
46.1 in
Step-by-step explanation:
Given data
Width= 30in
Height= 35in
To find the diagonal, we have to use the Pythagoras theorem
z^2= x^2+y^2
z^2= 30^2+ 35^2
z^2= 900+1225
z^2= 2125
z= √2125
z= 46.09
Hence the diagonal of the TV is 46.1 in
The line
is already written in the
form. This means that
is the slope. If two lines are perpendicular, their slopes are the anti-inverse of each other, i.e. their product is -1.
So, our perpendicular line has a slope of 
Finally, we want a line passing through (1,1) with slope
:

Answer:
10x^3 - 2x^2 -7
Step-by-step explanation:
To subtract polynomials, you want to subtract the biggest exponent from the first polynomial to the second
so 6x^3 + 4x^3 and that would be 10x^3
then -3x^2 + x^2 and the negative is larger so it would be -2x^2
and finally -2 + -5 and that is -7
hope this helps! :)