Harvey is 3 times as old as Jane. The sum of their ages is 52 years. Find the age of each.
1 answer:
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Answer:
(a) y = -4x + 4 (b) y = 2x + 3
<u>solving steps:</u>
note: m refers to slope and y₁ to y point and x₁ to x point
a)
coordinates: (2,-4)
slope: -4
equation:
- y - y₁ = m(x - x₁)
- y - -4 = -4(x-2)
- y = -4x + 8 - 4
- y = - 4x + 4
b)
coordinates: (1,5), (-1,1)
slope:
- 2
equation:
- y - y₁ = m(x - x₁)
- y - 5 = 2(x - 1)
- y - 5 = 2x - 2
- y = 2x - 2 + 5
- y = 2x + 3
Please consider the attached graph.
We have been given that there are two different models of the same triangular-shaped garden. The height of the model on the left is 14 cm. We are asked to find the height of the model.
First of all, we will convert 14 cm into feet.
We can see that model on left side has a scale of 1 cm is equal to 15 feet.
14 cm = 14×15 feet = 210 feet.
We can see that model on the right side has a scale of 1 cm is equal to 7.5 feet.
Since both models represent same triangular-shaped garden, so the actual height for the both models will be same.
Now we need to convert actual height of 210 feet into inches using 2nd scale.
Therefore, the height of the model on right is 28 inches.
