Answer:
Step-by-step explanation:
Given the values for the leg and hypotenuse:
a (leg) = 6 cm
c (hypotenuse) = 16 cm
Use the Pythagorean Theorem to find the value of the other leg, x:
You have to solve for 9x first
Answer: A. 40%
Step-by-step explanation:
to find the percentage decrease, first you have to subtract $6,300 from $10,500, which equals $4,200. This is the amount decreased from the price of the car. Then, to find the percentage that $4,200 is to $10,500, you have to divide 4,200 by 10,500. This should give you 0.4, the percentage is this number multiplied by 100. This should give you the number 40, which means that the percentage decrease of the price of the car; 40%.
Answer:
12x² - 6; 21 inches ⇒ A
Step-by-step explanation:
Let us solve the question
∵ The side lengths of a triangle are 4x² - 3 in., 4x² - 2 in., 4x² - 1 in.
∴ S1 = 4x² - 3 inches
∴ S2 = 4x² - 2 inches
∴ S3 = 4x² - 1 inches
→ The perimeter of the triangle is the sum of the lengths of its 3 sides
∵ P = S1 + S2 + S3
∴ P = 4x² - 3 + 4x² - 2 + 4x² - 1
→ Add the like terms
∵ P = (4x² + 4x² + 4x²) + (-3 + -2 + -1)
∴ P = 12x² + -6
→ Remember (+)(-) = (-)
∴ P = 12x² - 6
∴ The expression of the perimeter of the Δ is 12x² - 6
∵ x = 1.5
→ Substitute x in the perimeter expression by 1.5
∵ P = 12(1.5)² - 6
∴ P = 12(2.25) - 6
∴ P = 27 - 6
∴ P = 21 inches
∴ The perimeter of the triangle is 21 inches
The expression can be used to find the perimeter of the triangle is 12x² - 6 and its perimeter is 21 inches when x = 1.5
<h2>
Hello!</h2>
The answer is:
The ball will hit the ground after 
<h2>
Why?</h2>
Since we are given a quadratic function, we can calculate the roots (zeroes) using the quadratic formula. We must take into consideration that we are talking about time, it means that we should only consider positive values.
So,
We are given the function:
Where,
Then, substituting it into the quadratic equation, we have:
Since negative time does not exists, the ball will hit the ground after:
Have a nice day!
