9514 1404 393
Answer:
3
Step-by-step explanation:
The average rate of change is the slope of the line between the points at the ends of the interval: (1, -2) and (3, 4). That is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-2))/(3 -1) = 6/2
m = 3
The average rate of change on the interval is 3.
Answer:
i think its 63
3:4
84 divided by 4 equals 21, so then you multiply 3 by 21 and get 63
Answer:
The distance is 
or 
.
Step-by-step explanation:
Slope of parallel: 2
Slope of perpendicular: -1/2
Pick a point for y =2x + 7. For example (0,7)
Use the perpendicular slope to get to the other line to find the other point of y=2x-3. Look at the screenshot...I got (4,5).
Distance formula 
Insert (0,7) and (4,5)
= 
Answer:
1st
Step-by-step explanation:
The two triangles are similar by AA
Firstly, we can see that angle LKM and QKR are congruent as they are vertical angles.
The second set can be identified by noticing that RM is a transversal through 2 parrallel lines LM and QR. That manes QRK, and LMK alternate interior angles, showing that the angles are congruent. Hence similarity by AA
Get y in terms of x then substitute the expression into the other equation.
#7.
y - 2x = -6
y = 2x -6
y gets substituted for 2x - 6
5x - (2x - 6) = 9
5x - 2x + 6 = 9
3x + 6 = 9
3x = 9 - 6
3x = 3
x = 1
use this to find the other one
y - 2(1) = -6
y - 2 = -6
y = 2 - 6
y = -4
#8.
3y + x = 2
x = 2 - 3y
substitute x for 2 - 3y in the second equation
y - (2 - 3y) = -6
y - 2 + 3y = -6
4y - 2 = -6
4y = 2 - 6
4y = -4
y = -1
use this to find the other one
-1 - x = -6
-x = 1 - 6
-x = -5
x = 5
