you have enough paint to cover an are of 50 square feet. what is the side lenght of the largest square that you could paint. Round to the nearest tenth.
What is the value of c, so that the following is a perfect square trinomial?
g^2+17g+c
if it is square of side s
then s^2 = 50
s = 7.1
complete the square
g^2 + 17 g + (17/2)^2
= (g+17/2)(g+17/2)
To find the side length of the largest square that you could paint with 50 square feet of paint, you need to find the square root of 50.
Step 1: Start by finding the square root of the area, which is 50. Using a calculator or a math tool, you can find that the square root of 50 is approximately 7.07.
Step 2: Since the square has equal side lengths, the side length of the largest square you could paint is 7.07 feet (rounded to the nearest tenth).
Therefore, the side length of the largest square you could paint with 50 square feet of paint is approximately 7.1 feet.
For the second question, "g^2 + 17g + c" to be a perfect square trinomial, the coefficient of the middle term (17g) must be equal to twice the product of the square root of the first term (g^2) and the square root of the third term (c).
Step 1: Determine the coefficient of the middle term, which is 17g.
Step 2: Find the square root of the first term, which is g^2. Since g^2 is already a perfect square, its square root is g.
Step 3: Set up the equation, 17g = 2 * √(g^2 * c).
Step 4: Simplify the equation to solve for c. Divide both sides by 2 and square both sides to eliminate the square root.
(17g/2)^2 = g^2 * c
289g^2/4 = g^2 * c
Divide by g^2 on both sides to isolate c.
289/4 = c
Therefore, the value of c for the expression "g^2 + 17g + c" to be a perfect square trinomial is 289/4.