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:
35
Step-by-step explanation:
4x4+4(5-2)+7
=4x4+4(3)+7
=16+12+7
=28+7
=35
Answer:
x = 8
Step-by-step explanation:
29=7x + 5 -4x
add like terms: 29 = 3x +5
get your x variable on one side
24 = 3x
divide by 3
x = 8
check!
29 = 7(8) + 5 -4(8)
29 = 56 + 5 -32
29 = 51 - 32
29 = 29
Check the picture below
it can't be -3... since is width unit, so it has to be the other
and recall that length = 2w - 5
