A quadratic equation is set up in the form of ax² + bx +c
First set equation = to 0
0= x² - 5x - 24
Next plug into quadratic formula( -b Plus or minus the √b²-4ac) ÷ 2a
[10 plus or minus √(25² - 4×1×24)] ÷ 2
Solve for inner parenthesis first
√625- 96 = √529
Now set up two equations
(10 + √529) ÷2 = x = 16.5
(10 - √529) ÷2 = x = -6.5
So therefore x = 16.5 and -6.5
Answer:
x=9
Step-by-step explanation:
These two angles are equal since they are alternate exterior angles
-1 +14x = 12x+17
Subtract 12x from each side
-1 +14x-12x = 12x-12x+17
-1+2x= 17
Add 1 to each side
-1+1+2x = 17+1
2x = 18
2x/2 = 18/2
x =9
The perimeter would be about 34.4 because if you choose the bottom side to be ten, by multiplying 35 by 2 to get 70 you can divide by 10 to get 7. Since you know the height and width, you can use pythagorean theorem, a^2 + b^2 = c^2. Plug in the numbers you have 10^2+7^2=c^2. c^2=149, so if you square root 149 you will get a irrational number but when rounded you get 12.2- so that is one side multiply by 2 and get 24.4- and add 10 to get 34.4
Answer:
The degrees of freedom associated with this problem are 16.
Step-by-step explanation:
The degrees of freedom associated with a problem, independent of the confidence level, is the sample size subtracted by 1.
In this problem, we have that:
She takes a random sample of 17 trucks, so the sample size is 17.
This means that the degrees of freedom associated with this problem are 16.
USe pythagorean theorem
it will be
5.6² +3.3²= c²
31.36+ 10.89 =c²
42.25=c²
√42.25= c²
6.5=c is the answer
RAte and Thanks!