Students were asked to write 6x^5 + 8x - 3x^3 + 7x^7 in standard form.
1 answer:
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<h3>Answer :</h3>
<u>Given</u> :
- 9(m + 5) - 3(m - 2) = 8m + 31
We have to find value of m
➠ 9(m + 5) - 3(m - 2) = 8m + 31
➠ 9m + 45 - 3m + 6 = 8m + 31
➠ 9m - 3m + 45 + 6 = 8m + 31
➠ 6m + 51 = 8m + 31
➠ 51 - 31 = 8m - 6m
➠ 20 = 2m
➠ m = 20/2
➠<u> m = 10</u>
<h3>Hope It Helps!</h3>
<h2>Answer:</h2>
<em> The side of the triangle is either 38.63ft or 10.35ft</em>
<h2>Step-by-step explanation:</h2>This problem can be translated as an image as shown in the Figure below. We know that:
- The side of the square is 10 ft.
- One of the vertices of an equilateral triangle is on the vertex of a square.
- Two other vertices are on the not adjacent sides of the same square.
Let's call:
Since the given triangle is equilateral, each side measures the same length. So:
x: The side of the equilateral triangle (Triangle 1)
y: A side of another triangle called Triangle 2.
That length is the hypotenuse of other triangle called Triangle 2. Therefore, by Pythagorean theorem:
We have another triangle, called Triangle 3, and given that the side of the square is 10ft, then it is true that:
Therefore, for Triangle 3, we have that by Pythagorean theorem:
Matching equations (1) and (2):
Using quadratic formula:
Finding x from (1):
<em>Finally, the side of the triangle is either 38.63ft or 10.35ft</em>