Answer:
- <u>1. Find attached the graph with the points connected forming the letter L (it is the first graph)</u>
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- <u>2. The area of the letter is 24in².</u>
Explanation:
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<u>1. Graph.</u>
To graph the points you use a coordinate plane with marks on the x-axis and y-axis distanced 1 unit (equivalent to 1 inch(.
For instance, for the point A (3, 2) the x-coordinate is 3, and the y-coordinate is 2. Thus, to draw the point, you move 3 units to the right of the origin of the coordinate plane (x = 3) and 2 units upward (y = 2). There you draw the point A.
After you do the same with the other points, B, C, D, E, y F, and connect them you realize that the letter L is formed.
Now you can calculate the area.
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<u>2. Area</u>
To calculate the area you can split the figure in two rectangles. That is shown in the second figure attached.
Auxiliary point X and segment FX have been added in this second figure to help identify the two rectangles.
The area of the rectangle CDEX is 2in × 8in = 16in².
The area of the rectangle ABXF is 4 in × 2 in = 8 in².
Thus, the area of the letter is 16in² + 8in² = 24in²
Answer:
1.Solve the system of equations.
y = 2x^2 - 3
y = 3x - 1
a. no solution
b. (-1/2, 5), (2, -5/2)
c. (-1/2, -5/2), (2,5)
d. (1/2, 5/2), (2, 5)
2.how many real number solutions does the equation have 0 = -3x^2 + x - 4
a. 0
b. 1
c. 2
d. 3
3. solve the equation by completing the square. If necessary round to the nearest hundredth.
x^2 - 18x = 19
a. 1; 19
b. -1; 19
c. 3; 6
d. -3; 1
4. solve. x^2 - 81 = 0
a. 0
b. -9
c. -9, 9
d. 9
5. which model is most appropriate for the data shown in the graph below? (need wedsite to know the problem)
a. quadratic
Answer:
17584747477 84848474474477474
Ask if you don't understand or whatever
Answer:
360 pi in ^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter is 12 so the radius is 1/2 the diameter
r = d/2 = 12/2 = 6
V = pi (6)^2 * 10
V = pi (36)*10
V = 360 pi in ^3
We can approximate pi by 3.14
V =1130.4 in ^3
Or we can approximate pi by using the pi button
V =1130.973355 in ^3