Distribute to eliminate the parenthesis
x^2 + 2x + 6x + 12 = 60
Combine like terms
x^2 + 8x + 12 = 60
Subtract 60 from both sides
x^2 + 8x - 48 = 0
Factor the equation
(x+12)(x-4)=0
x+12=0
x+4=0
x= -12 and -4
You have to draw a rectangle and label the longer side 2.4 and the shorter side 1.1
D must be perpendicular to a because d is parallel to c. c is perpendicular to b. b is parallel to a.
Answer:
y = -9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
For this distribution of test scores, the standard deviation is equal to the square root of 9
D) 9
Step-by-step explanation:
We need to know the standard deviation formula:
(1)
Where:
S: Standard deviation
sum: Summation
x: Sample values
Am: Arithmetic mean
n:
Number of terms, in this case 3
Now, we need to know the arithmetic mean of the sample values: 2, 5 and 8

To know the standard deviation we need to have the summation of each term minus the arithmetic mean squared.
of each term:

Now, we can find the standard deviation:

The standard deviation is equal to the square root of 9