Answer:
midpoint = (3,3.5)
distance = 5
Step-by-step explanation:
midpoint = (x1+X2/2, y2+y2/2)
=(5+1/2, 5+2/2)
=(6/2, 7/2)
=(3, 3.5)
distance= √(x2-x1)^2 -(y2-y1)^2
=√(1-5)^2 -(2-5)^2
= √ 16+9 =√25 =5
Answer:
22) y=1/4x-3/4
23) y=-1/3x-9
Step-by-step explanation:
22 ) Using the rise/run strategy, we can find the slope. From (-1,-1) you go up 1 unit to reach the same level as (3,0), and go right 4 to reach (3,0). This means your rise/run is 1/4, which is also your slope. Now to find the y-intercept, we can use the equation format y=mx+b. m is your slope, which we have, and b is the y intercept. With y and x, we can substitute in a point we already know, for example (-1,-1) as (x,y). When everything we know is substituted in, we get -1=(1/4)(-1)+b. According to PEMDAS, we should now multiply 1/4 and -1 to get (-1/4). Now our equation is -1=-1/4+b. To isolate B, we need to add 1/4 on both sides. As a result, you'll get -3/4. Your y intercept is -3/4. Thus, the final equation is y=1/4x-3/4.
23) This question is a lot more straight forward than question 22. In this question, you're already given everything in the equation to substitute everything in. Like I said before, the format for a linear equation is y=mx+b where m is your slope and b is your y intercept. This question already gives you both the slope and y intercept, so you can just fill it in. (m = -1/3, b= -9) Thus, you'll get y=-1/3x-9.
F(10) means they want you to plug in 10. The piecewise function tells you that when x is greater or equal to 3, you use 6-2x. What I am saying is that since the number you want to plug in is greater than 3, then you plug in 10 into 6-2x.
f(10)=6-2*10=-14
