Answer:
In other words, the base must be at least 9 feet long.
Step-by-step explanation:
The schools wants the height of the triangle to be eight feet, and the area of the logo to be at least 36 square feet.
Recall that the area of a triangle is given by:
Since we want to area to be at least 36 square feet:
We are given that the height is eight feet. Substitute:
Simplify:
Divide both sides by four. Hence, our inequality is:
In words, this means that the base must be at least 9 feet long.
Answer:
x = -5
Step-by-step explanation:
Divide each term by 4 and simplify.
Move all terms not containing X to the right side of the equation.
Divide each term by 3 and simplify.
Answer:
<em>y = -2x - 4</em>
Step-by-step explanation:
<em>y + 1 = -2x - 3</em>
<em>Subtract 1 from both sides to get the y by itself</em>
<em>y = -2x - 3 - 1</em>
<em>Simplify (Combine Like terms)</em>
<em>y = -2x - 4</em>
Answer:
252
Step-by-step explanation:
The order of the books isn't important, so we'll use combinations.
The number of ways to choose 5 books from 10 is:
₁₀C₅ = 10! / (5! (10 − 5)!)
₁₀C₅ = 10! / (5! 5!)
₁₀C₅ = 10×9×8×7×6 / (5×4×3×2×1)
₁₀C₅ = 252
