Answer:
D
Step-by-step explanation:
Given the root of a quadratic equation x = a then the factor is (x - a)
Here the roots are x = 5 and x = 7 , then the corresponding factors are
(x - 5) , (x - 7)
The equation is then the product of the factors, that is
y = (x - 5)(x - 7) ← expand using FOIL
= x² - 7x - 5x + 35 ← collect like terms
y = x² - 12x + 35 → D
All you have to do is find 40% or .4 of 90.
90 x .4 = 36
36$ is the mark up, so the total price would be 126$.
The area of the square is 49 because area of a square is A = a^2 (a= 7^2)
The answer of the question is 12minutes
By applying Pythagorean's theorem, the missing side of this right-angled triangle is: A. 7√3 inches.
<h3>How to find the missing side?</h3>
By critically observing the triangle shown in the image attached below, we can logically deduce that it is a right-angled triangle. Thus, we would find the missing side by applying Pythagorean's theorem:
z² = x² + y²
Also, the sides of this right-angled triangle are:
- Opposite side = x inches.
- Adjacent side = 7 inches.
Substituting the given parameters into the formula, we have;
14² = x² + 7²
196 = x² + 49
x² = 196 - 49
x² = 147
x = √147
x = √49 × √3
x = 7√3 inches.
Read more on Pythagorean theorem here: brainly.com/question/23200848
#SPJ1