The sum of the area of these three rectangles will be 3x² + 20x.
<h3>What is the area of the rectangle?</h3>
Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L×W square units
The lengths and the widths of the following three rectangles are labeled.
The area of the first rectangle will be
A₁ = x · x
A₁ = x² square units
The area of the second rectangle will be
A₂ = 20 · x
A₂ = 20x
The area of the third rectangle will be
A₃ = 2x · x
A₃ = 2x²
Then the sum of the area of these three rectangles will be
A = A₁ + A₂ + A₃
A = x² + 20x + 2x²
A = 3x² + 20x
Thus, the sum of the area of these three rectangles will be 3x² + 20x.
More about the area of the rectangle link is given below.
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Answer:
D. (1,0)
Step-by-step explanation:
Just plug in each coordinate for x and y into 4x+2y and see which one is less than or equal to 6.
Lets go through all of the possible answers:
<u>A</u>. (0,4)
4(0) + 2(4) ≤ 6
0 + 8 ≤ 6
8 ≤ 6
This is false. 8 is not less than or equal to 6.
<u>B</u>. (5,0)
4(5) + 2(0) ≤ 6
20 + 0 ≤ 6
20 ≤ 6
This is false. 20 is not less than or equal to 6.
<u>C</u>. (5,7)
4(5) + 2(7) ≤ 6
20 + 14 ≤ 6
34 ≤ 6
This is false because 35 is not less than or equal to 6
<u>D</u>. (1,0)
4(1) + 2(0) ≤ 6
4 + 0 ≤ 6
4 ≤ 6
This is true, because 4 is less than 6.
The answer is -6x^3+11x^2+19
Answer:
The area of the circle with a 3-inch diameter is 7.07 square inches.
Step-by-step explanation:
The formula for the area of a circle is
A = πr²
If you are given diameter, take half of that to get the radius: 3 ÷ 2 = 1.5
Then take the radius, 1.5 and square it (multiply by itself) 1.5 × 1.5 = 2.25
Then multiply r² times pi. You can use 3.14. (sometimes you will need 3.14159)
2.25 × 3.14 = 7.065
Your instructions are to "round to the nearest hundredth" so you look to the thousandth place and see a 5. Rules fro rounding: "If the number is 5 or higher, add 1 to the place you are rounding to. If 4 or less, leave the place as it is."
You see a 6 in the hundredths place. Add 1. so the rounded answer is 7.07.
Then you put in the units measure. Inches are given, so the Area will be square inches
7.07 in²
The notation, more or less indicates that, the first value in the sequence is 2, the next term's value, will be "current value, times -4 and plus 2"
thus
