First, we need to get the slope of the equation of the train tracks. We can transform the given equation into the slope-intercept form.
4x +2y = 16
y = -2x +8
The slope of the equation is -2.
A perpendicular line will have the same slope but the opposite sign.
So, the slope of the line of the train crossing is 2. Since, it will pass through the point (8,15), the slope-intercept form can also be used to solve for the equation.
y = mx + b
The slope is 2, so m=2. We solve b by substituting the coordinates.
15 = 2(8) +b
b = -11
The equation is now,
y = -2x - 11
Or it can also be expresses as:
2x - y = 11
Answer:
From top to bottom:
3
7
6
12
Step-by-step explanation:
You just simply add the number in the top row and the number in the column together.
2 + 1 = 3
4 + 3 = 7
2 + 4 = 6
6 + 6 = 12
Answer:
w = -7
Step-by-step explanation:
Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other.
Divide -2 from both sides:
(14)/-2 = (-2w)/-2
(14)/-2 = w
Note that when you are dividing:
- 1 negative & 1 positive sign will result in a negative answer
- 2 negative sign will result in a positive
- 2 positive sign will result in a positive
In this case:
(14)/-2 = -7
-7 is your answer for w.
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Means multiply 2 3/2×6 ok
Answer:
⦿ (7, 2)
Step-by-step explanation:
Try each solution in both inequalities and see which solution makes both inequalities true.
4x + 2y > 8
x - y ≥ 2
A. (2, 4)
4(2) + 2(4) > 8
16 > 8 True
2 - 4 ≥ 2
-2 ≥ 2 False
B. (4, 0)
4(-4) + 2(0) > 8
-16 > 8 False
C. (7, 2)
4(7) + 2(2) > 8
32 > 8 True
7 - 2 ≥ 2
5 ≥ 2 True
D. (1, -3)
4(1) + 2(-3) > 8
-2 > 8 False
Answer: C.
