When you combine like terms, you essentially add things that are similar, like integers or variables. Here, we have 2 integers and 1 variable. We will add the two integers and leave the 1 variable as it has no like terms to be added with.
So we have -12 -6p -(-2). When we have -(-n), that makes +n; when there is a minus sign in front of brackets, that flips the sign of everything inside the brackets — -(-2) becomes +2.
So now, we have -12-6p+2. We add -12 and +2 and get -10. So our expression looks like this: -10-6p, and thats it.
Answer:
Total surface area is 3171m²
Step-by-step explanation:
First given the volume v= 8820m³
And the base a= 35m
We can solve for the height h using the formula
V=a²(h/3)
8820= 35²*h/3
h= (8820*3)35²
h= 26460/1225
h= 21.6m
We can now solve for the total surface area using
A= a²+2a√a²/4+h²
Substituting our data we have
A= 35²+2*35√35²/4+21.6²
A= 1225+70√1225/4+466.56
A=1225+70√772.81
A=1225+70*27.79
A= 1225+1945.9
A= 3170.9
Approximately
A= 3171m²
Move 2x to the other side so
18y = -2x +36
now u divide with 18 so
y = -2/18x + 2
Answer:
(p-11)(p+11) = p square - 11 square
=p square-121
Answer:
5. x=21.9 units
6. x=14 units
7. x=31.7 units
Step-by-step explanation:
5. Assuming that the line through the middle of the triangle in 5, we can split the 18 units side into 9 and 9. Using pythagorean theorem (a^2+b^2+c^2), we can find that x is equal to making x . Rounding to the nearest tenth, we get x is about 21.9 units
6. By doing pyth. th. on one of the triangles, we get sqrt(361-289) which is sqrt(72), which is about 8.5 units. Subtracting 8.5*2 from 31, we get 14 for x
7. by doing pyth th on the smaller triangle, we get sqrt 228 and now we can do pyth th again with 28 (44-16) and sqrt228, which turns out to be sqrt (784+228) which is sqrt (1002), which when rounded the nearest tenth is 31.7
Good Luck!