Answer:
x=12
Step-by-step explanation:
1/2x - 5 = 10 - 3/4x ---> move like terms to the same side
1/2x + 3/4x = 10 + 5 ---> calculate
5/4x = 15 ---> multiply both sides by 4/5
x = 12
You start of with a number, ( this number can be any number) so think of it as an unknown number. the number shall be denoted as x
so you have x
you want triple the number
3x
you also want to double the number
2x
you want the difference so you subtract these two terms
3x-2x
The Pythagorean Theorem formula is listed below. It can only be applied to right triangles.
(side1)^2 + (side2)^2 = (hypotenuse)^2
Since we are given that the base is 8cm, we know that the side of one triangle is 4cm. We are also given that the hypotenuse is 8cm. The height of the cone will be one of the short sides. If we plug these numbers into the formula, we get the following...
4^2 + height^2 = 8^2
If we solve for height, we get the following...
height = sqrt(8^2 - 4^2) = sqrt(64 - 16) = sqrt(48)
Since we are only asked for what is inside the square root, our answer is 48.
<span>(m^4+3m^3-26m^2-2m-24)÷(m-4)
step 1: m^4+3m^3+26m^2-2m-24
----------------------------------
m-4
step 2: m^4+4m^3+7m^3-28m^2+2m^2-8m+6m-24
----------------------------------------------------------
m-4
step 3: m^3 (m-4)+7m^2x(m-4)+2mx(m-4)+6(m-4)
---------------------------------------------------------
m-4
step 4: (m-4)x(m^3+7m^2+2m+6)
----------------------------------
m-4
step 5: (m-4)
</span><span><span> --------- cancelled out</span>
m-4
answer: m^3+7m^2+2m+6
</span>
