Answer:
slope = -1/2
Step-by-step explanation:
we use point B and point A to find the slope
A(-2,1) B(-4,2)
-2 = x1
1 = y1
-4 = x2
2 = y2
the formula for slope is: y/x = y1 - y2 / x1 - x2 = 1 -2 / -2-(-4) = -1/2
Graph is in picture
Anytime x = 0 in a point the y intercept is immediately defined.
y = mx + b The y intercept is b
y = 0 + b
0 = 0 + b
b = 0
What you know so for is
y = mx + b
y = mx since b = 0
7 = m*1
m = 7
The answer is y = 7x <<<<<<Answer.
Answer:
x = number of bicycles = 35
y = number of cars = 55
Step-by-step explanation:
Let
x = number of bicycles
y = number of cars
x + y = 80 (1)
2x + 4y = 270 (2)
From (1)
x = 80 - y
Substitute x = 80 - y into (2)
2x + 4y = 270 (2)
2(80 - y) + 4y = 270
160 - 2y + 4y = 270
- 2y + 4y = 270 - 160
2y = 110
y = 110/2
y = 55
Substitute y = 55 into (1)
x + y = 80 (1)
x + 55 = 80
x = 80 - 55
x = 35
x = number of bicycles = 35
y = number of cars = 55
Answer:
12 cm
Step-by-step explanation:
To calculate the length of a spring with a 2 kg load, compare the displacement of a 1 kg load and adjust accordingly.
When a 1 kg load is suspended from the spring, the spring which is 6 cm stretches to 9 cm. This is 3 cm longer due to the weight. If you attach a weight which is twice as much then the displacement will be twice as much. Instead of stretching an additional 3 cm, it will stretch 2*3 = 6 cm. Add this to the length of the spring and it stretches in total 6 + 6 = 12 cm.
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