Answer:
B: {(3,1), (7,9)}
Step-by-step explanation:
For equation 2x-y=5, we can isolate y, so it's easier to solve later:
y = 2x - 5
y = (x - 4)^2
Now, notice that both equations are equal to y, so we can set them equal to each other:
(x-4)^2 = 2x-5
x^2-8x+16 = 2x - 5
x^2-10x+21=0
Now, we can factorize by finding 2 numbers that multiply to 21 and add up to -10:
(x-3)(x-7)=0
x=3 or x=7
Since B is the only one with the x values of 3 and 7, the answer must be B.
But to further check our answer, we can plug x back to any of the equations above to check for y:
(3-4)^2 = 1
(7-4)^2 = 9
Therefore, we can confirm that the answer is B.
3(x-1)^2 +2
This is your answer in vertex form, your h and k values are the vertex. Solving the function by using b/2a, we get that h is 1. ( in the equation 3 is your a, 6 is b and 5 is c.). ( 6/2(3)) = 1. We can then plug in 1 as x into the original equation and get positive 2 ( 3(1)^2 -6(1) +5) = 3-6+5 = 2. This is your vertex. In the function, your a value will always stay the same as this is your shrink or stretch. In this case, a is 3 so it will go outside the parenthesis. Put that all together and you get the function above.
Hope this helps :)
Using the slope-intercept form (y=mx+b) the slope is:
1.66666666
Answer:
I think it would be 65 degrees
Step-by-step explanation:
If the side of Line q and line k is 115 degrees and its the same for line m and line k, then all you have to do is take 180 and subtract 115 from it to get the other side of the angle.
Answer:
230.2128. Im pretty sure
Step-by-step explanation: