Answer:
1
Step-by-step explanation:
identify two points on the graph:
1. (0, 4)
2. (-2, 2)
use slope formula: (y² - y¹) / (x² - x¹)
1. (2 - 4) / (-2 - 0) = -2 / -2 = 1
slope = 1
Answer:
- draw lines center to vertex
- 43.5 square inches
- 261 square inches
Step-by-step explanation:
<u>Part A</u>:
The area can be decomposed into triangles by drawing a line from the center to each vertex of the hexagon.
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<u>Part B</u>:
The area of each triangle is given by the triangle area formula:
A = (1/2)bh
A = (1/2)(10 in)(8.7 in) = 43.5 in²
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<u>Part C</u>:
The area of the table top is 6 times the area of one triangle:
surface area = 6(43.5 in²) = 261 in²
That's OK, but you have not said which variable you want to solve it for.
<u>To solve for 'x':</u>
<span>c + ax = dx
Subtract c from each side: ax = dx - c
Subtract dx from each side: ax - dx = -c
Factor the left side: x (a - d) = -c
Divide each side by (a - d) : x = -c / (a - d) or <u>x = c / (d - a)</u> .
</span><span><u>To solve for 'c': </u>
</span><span> c + ax = dx
Subtract ax from each side and factor: <u>c = x (d - a) </u>
</span><u>To solve for 'd': </u>
<span>c + ax = dx
Divide each side by 'x': d = c/x + a .
<u>To solve for 'a':</u>
</span><span><span> c + ax = dx</span>
Subtract 'c' from each side: ax = dx - c
Divide each side by 'x': <u>a = d - c/x </u>.
.</span>
Always one. 0/0 is indeterminate
