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:
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The value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.
<h3>What is a right-angle triangle?</h3>
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We can use the altitude rule:
8/n = n/4
n² = 32
n = √32
Thus, the value of n is 32 if the total; base length is 12(8+4) and n is the length of the perpendicular.
Learn more about the right angle triangle here:
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I'm pretty sure the answer is 15 base-ten blocks
Answer:
The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.
Step-by-step explanation:
Let's define the random variable, 
"Comprehensive strength of concrete". We have information that 
is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words, 
.
We want to know the probability of the mean of X or 
that falls in the interval ![[2499;2510]](https://tex.z-dn.net/?f=%5B2499%3B2510%5D)
. From inference theory we know that :
Now we can find the probability as follows:
Where 
, then:
Answer:
option A
Step-by-step explanation:
option A y = 9√3 is the correct answer .
In∆ PQR
cos 30 = y /18
√3/2 = y / 18
y = 9√ 3
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
