-5x - 3(-x+3x) - 5
1.) -3(-x+3x) = 3 - 9x
2.) -5 + 3x - 9x - 5
3.) 3x - 9x = -6x
4.) -5x - 6x -5
5.) -5x - 6x = -11x
6.) -11x - 5
answer is : -11x-5
<h3><u>given</u><u>:</u></h3>
<u>
</u>
<u>
</u>
<h3><u>to</u><u> </u><u>find</u><u>:</u></h3>
the volume of the given prism.
<h3><u>solution</u><u>:</u></h3>
<u>
</u>
<u>
</u>
<u>
</u>
<u>hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>prism</u><u> </u><u>is</u><u> </u><u>1</u><u>9</u><u>2</u><u> </u><u>cubic</u><u> </u><u>centimeters</u><u>.</u>
Answer:
1- Circumference: 43.96 Area: 153.86
2- Circumference: 69.08 Area: 379.94
3- Circumference: 40.82 Area: 132.67
4- Circumference: 28.26 Area: 63.59
5- Circumference: 57.78 Area: 265.77

Substitue 2x for y in the second equation:

Rearrange to

form:

Factor:

Zeros are

and

To find y-coordinates of pts of intersection, plug these x-values into first equation to get

and
Answer: D. 94.25 in²
Step-by-step explanation:
To find the total area, we will break the shape up into two different parts.
[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.
Area of a circle:
A = πr²
Use 3.14 for pi:
A = (3.14)r²
Find the radius:
d / 2 = r, 10 / 2 = 5 in
Subsittue:
A = (3.14)(5)²
A = 78.5 in²
Divide by 2 since it is only half:
78.5 in² / 2 = 39.25 in²
[] The triangle is 55 in².
Area of a triangle:
A = b*h/2
A = 11 * 10 / 2
A = 110 / 2
A = 55 in²
[] Total area. We will add the two parts together.
55 in² + 39.25 in² = 94.25 in²