The answers are the boxed ones in the photo
The roots are 1 +√7 and 1 -√7.
<h3>What is Quadratic equation?</h3>
A quadratic equation in the variable x is an equation of the form ax² + bx + c= 0, where a, b, c are real numbers, a≠0
Given equation:
y= x²+2x-6
First,
Half the coefficient of x and add and subtract the square of (b/2)
y= x²+2x-6+(1)²-(1)²
y= x²+2x+(1)² -6 -(1)²
y= (x+1)² -7
Now, equate y=0
(x+1)² -7 =0
(x+1)² = 7
x+1= ±√7
x=1 ±√7
Hence, the roots are 1 +√7 and 1 -√7.
Learn more about quadratic equation here:
brainly.com/question/1962219
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I don't understand what you are trying to say
Answer:
-11
Step-by-step explanation:
Absolute value means the distance from 0 so in this case, anything that is 10+ from 0 will work
By the Pythagorean Theorem:
h^2=x^2+y^2
Which just means that the hypotenuse (longest side) squared is equal to the sum of the side lengths squared...in this case:
h^2=5^2+13^2
h^2=25+169
h^2=194
h=√194
h≈13.93 in (to nearest hundredth of an inch)
Mckensey is correct as shown above.
Cara's mistake was in letting c be a side length instead of the length of the hypotenuse...