Answer:
The equation of the line y= 5x+1. Line that is parallel to the function given should have the same slope as the equation which is 5. We use the point-slope form in order to find the second equation that contains the point (4,5).
y - 5 = 5(x-4)
y = 5x - 20 +5
y≈ 5x -15
Answer:
8 - 2π square units.
π/16 - 1/8 square units.
6π - 9√3 square units.
Step-by-step explanation:
The area of the square = 2√2 * 2√2
= 2*2*2
= 8.
The area of the circle = πr^2
= π * [ ( 2√2)/ 2) ]^2
= π (√2)^2
= 2π.
Second Question:
The area of the circle = π(1/2)^2 = π/4.
Finding the area of the square:
1^2 = 2x^2
x^2 = 1/2
So the area of the square = 1/2
So the area of the red part = 1/4 ( π/4 - 1/2).
= π/16 - 1/8.
Third question
Area of the circle = 6^2 * π = 36π.
Now 60 degrees is 1/6 of 360 degrees so the are of the sector is 6π.
The area of the segment = 6π - 0.5 * 6^2 sin 60
= 6π - 18√3/2
= 6π - 9√3 square units.
If they have 11 boxes and 88 shorts there will be 8 shorts in each box
The function is updated by calculating the composite function h(f(c)), where f = 1.8c + 32
<h3>How to update the function?</h3>
The function is given as h(c)
Where
- c represents the temperature in Celsius
- h(c) represents the number of heat-stroke deaths per thousand people
When a temperature in Celsius is converted to Fahrenheit, the conversion equation is:
F = 1.8C + 32
This means that we update the function by calculating the composite function h(f(c)), where f = 1.8c + 32
<h3>How the graph would be transformed?</h3>
In (a), we have:
h(f(c)) and f = 1.8c + 32
Substitute f = 1.8c + 32 in h(f(c))
h(1.8c + 32)
The above means that:
- The graph would be vertically stretched by a factor of 1.8
- Then the graph would be shifted up by 32 units
Read more about function transformation at:
brainly.com/question/1548871
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