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1 answer:
Using proportions, the lengths of the unknown sides are given as follows:
- 2x = 10.
- x - 3 = 2.
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the triangles are similar, hence the lengths of it's sides follow the proportion given next:
Applying cross multiplication:
2x(x - 3) = 20
2x² - 6x - 20 = 0
x² - 3x - 10 = 0
(x - 5)(x + 2) = 0.
Then the positive solution is:
x - 5 = 0 -> x = 5.
And the lenghts are:
- 2x = 10.
- x - 3 = 2.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
The answer is
<h2>12</h2>Step-by-step explanation:
The above variation is written as
where k is the constant of variation
when y = 16
x = 3
k = yx²
k = 16(3)²
k = 16 × 9
k = 144
The formula for the variation is
when y = 1
We have
Cross multiply
x² = 144
Find the square root of both sides
x = √144
x = 12
Hope this helps you
A
to calculate the slope m , use the ' gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (5, 4)
m = =
→ A