Answer:
20 in²
Step-by-step explanation:
Assuming that the width of the sign is x, then from the question, we're told that the length is 5 times it's width, so
b = x inches
l = 5x inches
Again, we're told that the perimeter of the sign is 24 inches, and we know already that the perimeter of a rectangle is given as
Perimeter = 2(l + b), substituting this, we have
24 = 2(5x + x)
24 = 10x + 2x
24 = 12x
x = 24 / 12
x = 2 inches.
Since x is the width of the rectangle, and it's 2 inches, we use it to find the length of the sign.
l = 5 * 2
l = 10 inches.
Then, we are asked to find the area of the sign. Area of a rectangle is given as
A = l * b, so if we substitute, we have
Area = 10 * 2
Area = 20 square inches
Answer C : 3x^2+7xy-2y^2
equivalent to the following expression
Combine like terms
2x^2 + x^2 is 3x^2
4xy+3xy is 7xy
-y^2-y^2 is -2y^2
So expression becomes
Answer C is correct
Answer:
D
Step-by-step explanation:
given p² + 4p - 12 = 0 ← in standard form
with a = 1, b = 4, c = - 12, then the discriminant
Δ = b² - 4ac
= 4² - (4 × 1 × - 12) = 16 - (- 48) = 16 + 48 = 64 → D
Answer:
480 = 12 * 8 * height
height = 480 / 96
height = 5 meters
Step-by-step explanation:
Answer:
3 15/16
Step-by-step explanation:
1 1/2 x 1/ 3/4 = 21/8
21/8 x 1 1/2 = 61/16 = 3 15/16
