Answer:
H (x= -3 , y=5)
I (x=8 , y=2)
J (x= -3 , y= -5)
D is the distance between the 2 points so just plug in the x and y cords of each of the corresponding points
so for (HI)
you plug in 2 on the red x
and 8 on the red y
then -3 in the blue x
and 5 in the blue y
Because B is the midpoint of AC, point B divides AC into two equal segments:
AB = BC
Substitute all known values into the above equation:
x + 5 = 2x – 11
Add 11 to both sides of the equation:
x + 16 = 2x
Subtract "x" from both sides of the equation:
16 = x
We have proven that x = 16. Now we are asked to find the measure of AB. Simply substitute the known value of "x" into the equation for AB:
AB = 16 + 5
Simplify the right side of the equation:
AB = 21
The measure of segment AB is 21
I hope this helps!
It’s the second one! I’m 100% sure lol it’s easy
Just draw a fraction to represent the fraction
Answer:
4.5 hours
Step-by-step explanation:
Assume the relation between points is a linear relation.
Use the given information as points in a linear equation.
Find the equation of the line; then find x when y = 25.75.
Find the equation of the line that passes through points (3, 23.5) and (8, 31).
y = mx + b
m = (y2 - y1)/(x2 - x1) = (31 - 23.5)/(8 - 3) = 7.5/5 = 1.5
y = 1.5x + b
Use point (8, 31) as x and y, and solve for b.
31 = 1.5(8) + b
31 = 12 + b
b = 19
The equation is
y = 1.5x + 19
Now let y = 25.75, and solve for x.
y = 1.5x + 19
25.75 = 1.5x + 19
6.75 = 1.5x
x = 4.5
Answer: 4.5 hours