The slope is 3/4 and the y intercept is (0 ,-2) , Option C is the correct answer.
<h3>What is a Linear Function ?</h3>
A function whose graph is a straight line is called a Linear Function.
The equation of the straight line is given by
y = mx+c
here m is the slope and c is the intercept of the y axis.
The slope for a two given point of the straight line can be calculated as
m =(y₂-y₁)/(x₂-x₁)
Therefore for the given points
m = (1-(-2))/(4-0)
m = 3/4
For intercept we will substitute the value in the straight line equation
y = (3/4)x + c
at x = 0 , y = -2
-2 = (3/4) *0 +c
c = -2
Therefore the slope is 3/4 and the y intercept is (0 ,-2)
Option C is the correct answer.
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The perimeter of the shaded part is: 25.1 cm.
The area of the shaded part is: 36.6 cm².
<h3>How to Find the Perimeter and Area of the Shaded Part?</h3>
Area = Area of square - 2(area of square - area of quarter circle) = s² - 2(s² - 1/4πr²).
Parameters given are:
Plug in the values into the equation
Area = 8² - 2(8² - 1/4π(8²)).
Area = 64 - 2(64 - 50.3)
Area = 36.6 cm²
Perimeter = 2(perimeter of quarter circle) = 2(1/4(2πr)) = 2(1/4(2π8)) = 25.1 cm
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To multiply fractions, you just multiply the numerators times the other numerators, and the denominators by the other denominators.
In this example,
1/2 * 1/3 * 1/4
is the same as
(1 * 1 * 1) / (2 * 3 * 4)
Since 1 multiplied by itself is always one, the numerator does not change.
2 * 3 = 6
6 * 4 = 24
The final answer is 1/24.
Hope that helped =)
