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irakobra [83]
3 years ago
11

Factor the polynomial:3x^3-x^2-15x+5

Mathematics
1 answer:
lina2011 [118]3 years ago
6 0
(x^2-5)(3x-1)
Here's how I got this answer:
I found the GCF for each part of the polynomial.
3x^3 and -15x both contain 3x, and -x^2 and 5 share -1.
I then can divide the polynomial by 3x-1, and I get x^2-5
(Okay, that's not what I really did, but I can solve these on sight and don't remember the proper way to do it.)
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In triangle ABC, AB measures 25 cm and AC measures 35 cm. The inequality < s < represents the possible third side length o
Flura [38]

we know that

The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Let

s------> the length of the third side

25+s > 35 \\ s > 35-25 \\ s> 10\ cm          

25+35 > s \\ 60 > s \\ s< 60\ cm  

10\ cm < s < 60\ cm

therefore

<u>The answer part a) is</u>

10\ cm < s < 60\ cm

we know that

the perimeter of a triangle is the sum of the length sides

In this problem

P=25+35+s\\P=60+s

<u>For s> 10\ cm</u>

the perimeter is equal to

P > 60+10\\ P>70\ cm

<u>For s< 60\ cm</u>

the perimeter is equal to

P < 60+60\\ P

so

70\ cm < P < 120\ cm

therefore

<u>the answer part b) is</u>

70\ cm < P < 120\ cm

4 0
3 years ago
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What is the area of this trapezoid? 10cm 5cm 12cm 1.5cm
lutik1710 [3]

Area of a trapezoid = a+b+c x h

10 + 5 +12 = 27 x h

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8 0
3 years ago
I need help 20 pts thx look at the image
Ad libitum [116K]

Answer:

Factors are numbers you can multiply to get each number. For example, for 30 you would have factors of 1, 2, 3, 5, 6, 10, 15, and 30.  I got that because 1 x 30 = 30, 2 x 15=30, 3 x 10 = 30, and 5 x 6= 30.  If the factors are just 1 and that number it is prime.  If there are other factors, it is composite.  30 would be composite.

Step-by-step explanation:

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Alecsey [184]
<span>You are given circle R that has a radius of 6 inches. And then you are given points S, T, and U that lie on circle R, clockwise in alphabetical order. Also you are given m∠TRS = 98°and you are asked to find the m∠TUS. To solve this, you have to draw the circle first.

Draw a circle with R being a point at the center of it. Then place the points S, T and U around the circle. So that would mean any point, S, T and U that connects on R would have a value of 6 inches. Also, these are your radius.

You also know that m</span>∠TRS = 98°. You know that the circle, if you will base your angle from the center or its interior angle is just equal to 360°. To get the m∠TUS, subtract 360 to 98.

360° - 98° = 262°
therefore, m∠TUS is 262°
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slega [8]

Answer:

A.

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