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andre [41]
3 years ago
9

Identify and factoring polynomials 25r3 + 30r2 + 20r + 24

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

Answer:

(5r + 6)(5r² + 4)

Step-by-step explanation:

Given

25r³ + 30r² + 20r + 24 ( factor the first/second and third/fourth terms )

= 5r²(5r + 6) + 4(5r + 6) ← factor out (5r + 6) from each term

= (5r + 6)(5r² + 4)

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Write standard form of line that is parallel to 2x + 3y= 4 and passes through the point (1, -4)
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Answer:

2x + 3y = -10

Step-by-step explanation:

First convert the line into slope intercept form to find the slope of the line.

2x + 3y = 4

3y = 4 - 2x

y = -2/3x + 4/3

The slope of the line is -2/3. Parallel lines have the same slope so the slope for a line through the point (1,-4) will be -2/3. Substitute m = -2/3 and (1,-4) into the point slope of a line.

y --4 = -\frac{2}{3}(x-1)\\y + 4 = -\frac{2}{3}(x -1)

Now convert the line into standard form by using the distributive property.

y + 4 = -\frac{2}{3}(x -1)\\y + 4 = -\frac{2}{3}x + \frac{2}{3}\\3y + 12 = -2x + 2\\2x + 3y + 12 = 2\\2x + 3y = -10

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3 years ago
One angle of a rhombus is 108 degrees and the shorter diagonal is 9 inches long. How long is the side of the rhombus
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Now, for a rhombus, all sides are the same length, and the diagonals bisect the vertex they cut, so they cut them in halves, and they also meet at right-angles, and cut each other in halves as well

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and since they each other cut in halves where they meet, one side of the shorter diagonal will then be half of 9, or 9/2 or 4.5

since the angle is in degrees, make sure your calculator is in Degree mode

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