Answer:
Step-by-step explanation:
The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines
Slope of line 1:
(Yb -Ya)/(Xb - Xa) =
(-10 - (-14))/(-1 - (-3)) =
4/2 =
2
Use that slope to find the Y-intercept of line 1
y = 2x + b
-14 = 2(-3) +b
-14 = -6 + b
-8 = b
Therefore Line 1 is:
y = 2x - 8
Slope of line 2
(11 - 13)/(-1 - (-3)) =
-2/2 =
-1
Y-intercept of line 2
y = -x + b
13 = -(-3) +b
13 = 3 + b
10 = b
Therefore line 2 is
y = -x + 10
Now we have 2 equations to solve for the coordinates x and y
y = 2x - 8
y = -x + 10
Substitute y out in one of the equations
2x - 8 = -x + 10
3x = 18
x = 6
Plug x into one of the equations
y = 2(6) - 8
y = 12 - 8
y = 4
Therefore the solution is:
x=6, y=4
Answer: If Ms. Hartt burns 300 calories in 1 hour, and runs 5 hours in a week, she burns 1,500 calories in a week.
Explanation: 300 x 5 = 1,500
Answer:
-3
Step-by-step explanation:
If you were to graph that function, you would find it looks like the attached image. The y-intercept is -3.
Answer:
-$85
Step-by-step explanation:
The charge will be $25 + ($10/h)(6 h) = $25 +60 = $85.
Jeffrey's savings will decrease by $85, so the net change is -$85.
