Which of the following statements is true?
1 answer:
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<h2> <u>Rectangular</u> <u>Areas</u> <u>and</u> <u>Perimeters</u></h2>
The perimeter of a rectangle is given by:
In the problem we have these data:
- Length = a
- Width = -2x + 20
- Perimeter = 6 + 2 (-2x + 20)
We replace the data in the equation of the perimeter:
<h3>6 + 2 (-2x + 20) = 2 (a - 2x + 20) </h3>
We apply distributive property:
6 - 4x + 40 = 2a - 4x + 40
6 = 2a
6 ÷ 2 = a
3 = a
⇒ Length = 3
The area of the rectangle is given by:
We have these data:
- Length = 3
- Width = -2x + 20
We replace the data in the equation of the area:
<h3>Area = (3) (- 2x + 20) </h3>
We apply the distributive property and obtain:
Area = -6x + 60
<u>The expression representing the area of the rectangle will be -6x + 60</u>
<h3>I hope I've helped!</h3>
<h2>Answer:</h2>
Slope-intercept form:
What the variables mean:
Y=the y axis
m=the slope
x=the x-axis
b=the y intercept (the point on the line that crosses the y-axis)
To Calculate the Slope:
1. Find any 2 points on the line
2. The number of units the second point is above the first is the numerator
3. The number of units the second point is to the right of the first is a denominator
(Please see the picture attached)
To Find the Y-Intercept:
1. Find the point on the line that crosses the y-axis
(Please see the picture attached)