Answer:
p = -2
Step-by-step explanation:
5p - 10 = + 4(1 + 3p)
first get rid of the bracquetes:
5p - 10 = + 4*1 + 4*3p
5p - 10 = + 4 + 12p
subtract left and right of = sign by 5p
5p -5p - 10 = + 4 + 12p -5p
0 - 10 = + 4 + (12p -5p)
subtract left and right of = sign by 4
-10 -4 = 4 -4 + ( 7p )
re arrange
7p + 0 = -14
divide left and right of = sign by 7
7/7 p = -14/7
p = -2
Answer:
see below
Step-by-step explanation:
3/5 ( x - 10 ) = 18 - 4x - 1
Combine like terms
3/5(x-10) = 17 -4x
Distribute
3/5x - 6 = 17 -4x
Add 6 to each side
3/5x -6+6 = 17 -4x+6
3/5x = 23 -4x
Add 4x to each side
3/5x +4x =23
Get a common denominator
3/5x + 20/5x =23
23/5 x =23
Multiply each side by 5/23 to isolate x
23/5x *5/23 = 23 * 5/23
x = 5
The value of x is 80
(80+30) = 110
x= 80
Answer:

Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
The area of a trapezoid is equal to
![A=\frac{1}{2}[b_1+b_2]h](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Bb_1%2Bb_2%5Dh)
where
b_1 and b_2 are the parallel bases
h is the perpendicular distance between the parallel bases
we have

substitute
![A=\frac{1}{2}[4.5+9]7](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B4.5%2B9%5D7)
