Answer:
Step-by-step explanation:
Answer:
y = - 10
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 2 when x = - 4, that is
2 = - 4k ( divide both sides by - 4 )
= k, that is
k = -
y = - x ← equation of variation
When x = 20, then
y = - × 20 = - 10
Using it's vertex, the maximum value of the quadratic function is -3.19.
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is modeled by:
The vertex is given by:
In which:
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, the equation is:
y + 4 = -x² + 1.8x
In standard format:
y = -x² + 1.8x - 4.
The coefficients are a = -1 < 0, b = 1.8, c = -4, hence the maximum value is:
More can be learned about the vertex of a quadratic function at brainly.com/question/24737967
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Answer:
Bruno is correct. When going from a larger unit to a smaller unit you need to divide
Step-by-step explanation:
Sam's calculation:
45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 × 0.621 = 77.38 kilometers.
Bruno's calculation:
45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64 kilometers.
1 kilometer = 0.621 miles.
Bruno is correct. When going from a larger unit to a smaller unit you need to divide
We will divide a larger value by a smaller value to get the smaller units
The area of the given right triangle is: 22.5 cm².
<h3>How to Find the Area of a Right Triangle?</h3>
The area of a right triangle with a base of "b" and an height of "h" can be determined using the following formula:
Area of triangle = 1/2bh = 1/2(base)(height).
Given that the right triangle has the following dimensions:
Height (h) = 5 cm
Base (b) = 9 cm
Area of triangle = 1/2bh = 1/2(5)(9)
Area of triangle = 1/2(45)
Area of triangle = 22.5 cm²
Thus, the area of the right triangle is: 22.5 cm².
Learn more about the area of triangle on:
brainly.com/question/21735282
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