answer
10
step-by-step explanation
first find the (x+a)^2 part
using x^2 + 6x + c, we need to find the value c that completes the perfect square
to do this, divide 6 by two to find a in (x+a)^2
6/2 = 3 = a
c = a^2
c = 3^2 = 9
plug in values
x^2 + 6x + 9 = (x+3)^2
compare this to x^2 + 6x − 1, and you can see there is a (9 - -1) = 10 difference, so subtract 10 from both sides
x^2 + 6x + 9 = (x+3)^2
x^2 + 6x + 9 - 10 = (x+3)^2 - 10
x^2 + 6x + - 1 = 0 = (x+3)^2 - 10
0 = (x+3)^2 - 10
(x+3)^2 = 10
k = 10
Answer:
$63
Step-by-step explanation:
1. Norachai and 6 of his friends = 7
2. Each of them paid $9
3. 7x9=63
4. The total bill was $63
Answer:
The answer is in the image
Step-by-step explanation:
Answer:
x=13
z=84
Step-by-step explanation:
The intersection of two of these lines actually have relationships. The two angles that have the variable x both add up to 180 degrees since we assume for them to be a straight line, and the angle with '11x-59' is equal to Z since they are vertical from each other.
Knowing this, we can add the two equations together and equal it to 180. This is to give us the variable x.
(11x-59)+(13x-73)=180 (always use parenthesis!)
24x-132=180 (combine like terms)
24x=312
x=13 (isolate x)
We now know that the x stands for 13, but we are not done. By plugging in the variable x in for the equation 11x-59, we can find the value of z since they are vertical angles.
11(13)-59=84
z=84
