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: b
Step-by-step explanation:
In the last question, you wrote on a second equation "13x ...." kkk
Let's go:
We have to check each one answer in the following system:
x - 2y = 7
3x + 7y = 8
I can use the substituition method to solve this system...
x = 7 + 2y
3x + 7y = 8
3(7 + 2y) + 7y = 8
21 + 6y + 7y = 8
13y = 8 - 21
13y = -13
y = -1
x = 7 + 2.(-1)
x = 5
Finally, the correct answer is the second one (letter b).
A. After the mod. One wall is “x” longer than original (horizontal in diagram) and the other is “x” shorter (vertical)
(30+x)(30-x)
b. He original area = 30 x 30 = 900 sq. ft.
The mod. Area is (30+6)(30-6) = 36x24= 764 sq. ft.
So the room was largest to begin with when it was a square
For this question the answer would be x=-3 and x=-2
