Answer:
- x³+3x²-6
Step-by-step explanation:
a - b means
b-a
x²-6-( x³ - 2x²)
Distribute the minus sign
x²-6 - x³ + 2x²
Combine like terms
- x³+3x²-6
Answer:
y = 
Step-by-step explanation:
Given
x = 2y - 3 ( add 3 to both sides )
x + 3 = 2y ( divide both sides by 2 )
= y
Answer:
13n +9
Step-by-step explanation:
There is nothing to solve. We can simplify the expression by eliminating parentheses and combining like terms.
7n +6(n +4) -15 . . . . . . given
7n +6n +6(4) -15 . . . . use the distributive property
(7 +6)n +(24 -15) . . . .identify and group like terms
13n +9 . . . . . . . . . . combine like terms
7.79cm It is an equilateral triangle so it has 3 equal sides. That means each side is 9cm. <span>
Now draw a line from the top of the equilateral triangle to the base, and dividing it into two. You will have made two smaller triangles, with sides 9, 4.5, and h (the one you want to find).
A line drawn from the apex of an equilateral triangle to the midpoint of the base is perpendicular to the base, so you can use Pythagoras' Theorem!
4.5^2 + h^2 = 9^2
h = sqrt(9^2 - 4.5^2)
Therefore, the height is 7.79cm (2 decimal places)</span><span>
</span>