Answer:
x^2 + 18x + 76 + 5 = 0 + 5
Step-by-step explanation:
The first step is to determine the constant that is needed to be able to write the expression in the desired form. That constant is the square of half the x-term coefficient: (18/2)^2 = 9^2 = 81.
The constant that is present is 76, which is 5 fewer than the needed constant, so the "first step" is to add 5 to both sides of the equation:
x^2 + 18x + 76 + 5 = 0 + 5
Then the next step would be to write the left side as a square:
(x +9)^2 = 5 . . . . . . . p = -9; q= 5
6/7 of 1 3/4......turn the mixed number to an improper fraction...and " of " means multiply
6/7 * 7/4 = 42/28 = 1 1/2...so a compact car weighs 1 1/2 tons or 1.5 tons
Answer:
x = 19
Step-by-step explanation:
1. add 31 on both sides (you wanna get the "x" by itself)
ex: 2x - 31 = 7
+31 +31
2. the 31s cancel each other out so now you add 31 + 7
2x = 7
+31
___________
38
3. divide 2 on both sides so the 2s cancel each other out and only the x is left
ex: 2x / 2 = x 38 ( the 38 stands alone)
4. now divide 38/2 and you have your answer
X= 19
Step-by-step explanation:
it looks like this is a regular (right) triangular prism with 3 equal side areas and one bottom area.
the surface area of the pyramid is the sum of all 4 of these areas.
all these areas are triangles.
the area of a triangle is
baseline × height / 2
in our case
1 side area is 6×8.2/2 = 3×8.2 = 24.6 yd²
all 3 side areas together are 24.6×3 = 73.8 yd²
the bottom triangle is
6×5.2/2 = 3×5.2 = 15.6 yd²
so, the total surface area is
73.8 + 15.6 = 89.4 yd²
Answer:
25 degrees
Step-by-step explanation:
Haha, awesome! Just did a problem like this!
All angles add up to 180, so set it up like this:
2x + 1 + 5x + 5 + 90 = 18
Combine like terms.
7x + 96 = 180
7x = 84
x = 12
Plug x back into 2x + 1
2(12) + 1
24 + 1
= 25 degrees
While we're at it...
5(12) + 5
60 + 5
= 65 degrees (for the other angle)
25 + 65 + 90 = 180
Math checks out & we're good to go!
Hope this helped. :) <3
