Standard Form is Ax + By = C
y=2x+5
-2x+y= -2x+2x +5
-2x + y = 5
Answer -2x + y = 5
Answer:
m<R ≈ 22.62°
Step-by-step explanation:
Reference angle = R
Side opposite to R = 5 cm
Adjacent side length = 12 cm
Thus, applying TOA, we have:
Tan R = opp/adj
Tan R = 5/12
R = tan^{-1}(5/12)
R ≈ 22.62° (nearest hundredth)
Answer:
x < -2
Step-by-step explanation:
its less than x, open circle
Answer:
-13,1
Step-by-step explanation:
f(x)= (x+6)^2-49
When we find the zero's we set f(x) =0
0= (x+6)^2-49
Add 49 to each side
49= (x+6)^2-49+49
49= (x+6)^2
Take the square root of each side
±sqrt(49) = sqrt((x+6)^2)
±7 = (x+6)
Subtract 6 from each side
±7-6 = (x+6-6)
±7-6 = x
7-6 =x -7-6 =x
1=x -13=x
So, we are given 5^8. It was happy and content. But then... we had to write it as a quotient of two exponential terms with the same base in four different ways and use negative or zero exponents and ahhhhhh!!!
... anyways...
We'll build a quotient of two exponential terms with the same base 5. Something like this:
5^a / 5^b
We need them to make 5^8 when we are done. I'll first use a zero exponent.
[1] Now, zero exponents are nice since they make things equal 1. Like 5^0 = 1. Well, obviously, 5^8 / 1 = 5^8. So, our first quotient can be:
5^8 / 5^0
Done.
[2] Let's try this on its head. This one's a little weird. Remember that negative exponents flip things upside down. So 5^-8 = 1/5^8 and 1/5^-8 = 5^8 for example. In fact... that's the answer!
5^0 / 5^-8 = 5^8
Done.
[3] Let's try to not use 0s or 8s. We can be clever and do something like this:
5^-1 / 5^-9
What the heck is that? Well, we just flip them and get:
5^-1 / 5^-9 = 5^9 / 5^1 = 5^8
Done.
[4] Can you come up with one last trick on your own? Try it!
