In quadratic equations,
a + b = -B
ab = C
where a and b are the roots, B is the second term, and C is the constant.
Substituting,
a + b = -12
ab = 35
The values of a and b from the equation is -7 and -5. Thus, the lesser root is -7.
Answer:
and
.
Step-by-step explanation:
The equation can be simplified with the help of trigonometric identities:

Which means that equation is equal to zero if any component of the product is zero. The solutions of the expression are:
a) 

b) 



Any value different of both subsets do not satisfy the equation described above.
Since there are 4 side on the blanket, you multiply 72 by 4, getting 288 inches.
Answer:

Step-by-step explanation:
Consider an element 
We know that 
Here, m and n are exponents and a is a base. Exponent refers to the no. of times a term is multiplied by itself. Another word for exponents is powers.
Other Properties of exponents:

Here, we are required to divide
by
.
Consider 
We will solve
separately.
Here,

So, 
Answer:
Step-by-step explanation:
Hello!
The variable of interest, X: height of women at a college, has an approximately normal distribution with mean μ= 65 inches and standard deviation σ= 1.5 inches.
You need to look for the value of height that marks the bottom 20% of the distribution, i.e. the height at the 20th percentile of the normal curve, symbolically:
P(X≤x₀)= 0.20
To know what value of height belongs to the 20% of the distribution, you have to work using the standard normal distribution and then reverse the standardization with the population mean and standard deviation to reach the value of X. So the first step is to look for the Z-value that accumulates 20% of the distribution:
P(Z≤z₀)=0.20
z₀= -0.842
z₀= (x₀-μ)/σ
z₀*σ= (x₀-μ)
x₀= (z₀*σ)+μ
x₀= (-0.842*1.5)+65
x₀= 63.737 inches
I hope it helps!