-3(5 + 8x) - 20 ≤ -11 |use distributive property: a(b + c) = ab + ac
-15 - 24x - 20 ≤ -11
-35 - 24x ≤ -11 |add 35 to both sides
-24x ≤ 24 |change signs
24x ≥ -24 |divide both sides by 24
x ≥ -1
Answer:
Step-by-step explanation:
Given
Square
Triangle
Required
Find h, if both shapes have the same area
The area of the square is:
The area of the triangle is:
Equate both areas
Divide both sides by x
Multiply both sides by 2
Answer:
-76
Step-by-step explanation:
A positive digit multiplied by a negative digit will result as a negative digit.
So,
6 · -8 = -48
Now if there is a problem where a number is added by a negative digit number, you turn the "plus" sign into a "negative" sign.
So,
- 48 + (- 28)
-48 - 28
If you subtract a negative by a negative, the answer will be negative BUT you have to ADD those two negative digits together and put the negative sign after.
- 48 - 28 = -76
Answer:
We conclude that:
f(a) + 5 = a² + 8a - 5
Step-by-step explanation:
Given
The function is given by
f(x) = x²+8x-10
To determine
f(a)+5
In order to determine f(a)+5, first, we need to determine f(a).
Now substitute x = a in the function f(x) = x²+8x-10
f(a) = (a)² + 8(a) - 10
f(a) = a² + 8a - 10
Thus,
f(a) + 5 = (a² + 8a - 10) + 5
f(a) + 5 = a² + 8a - 5
Therefore, we conclude that:
f(a) + 5 = a² + 8a - 5
(6,-7)
This is because if the midpoint to one endpoint goes right 1 and up 5, then the other endpoint will be left 1 and down 5
