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Setler [38]
3 years ago
9

Is the number 15 prime or composite? prime composite Please help me. Will mark brainiest! Thats okay if you don't know don't ans

wer if don't know than.
Mathematics
2 answers:
elixir [45]3 years ago
8 0

Answer:

Hey there!

15 is composite. A composite number has factors other than one and itself. 15 has factors 3 and 5.

Thus, 15 is composite.

Let me know if this helps :)

wel3 years ago
7 0

Answer:

Composite

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Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4
Alik [6]

Answer:

\alpha=3

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

(x-h)^2+(y-k)^2=r^2

We are given the equation of a circle as

3x^2+3y^2-6\alpha x+12y-3\alpha=0

Note we have corrected it by adding the square to the y. Simplify by 3

x^2+y^2-2\alpha x+4y-\alpha=0

Complete squares and rearrange:

x^2-2\alpha x+y^2+4y=\alpha

x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4

(x-\alpha)^2+(y+2)^2=r^2

We can see that, if r=4, then

\alpha+\alpha^2+4=16

Or, equivalently

\alpha^2+\alpha-12=0

There are two solutions for \alpha:

\alpha=-4,\ \alpha=3

Keeping the positive solution, as required:

\boxed{\alpha=3}

8 0
3 years ago
What is the answer to this questions
nadya68 [22]
The answer would be B
8 0
3 years ago
Grass can grow up to six inches in 7 days depending on the temperature, humidity, and time of year. At this rate, how tall will
Charra [1.4K]

Answer:

24 inches

Step-by-step explanation:

if the temperature humidity and time of year is based on an average

8 0
2 years ago
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Answer: what of the following

Step-by-step explanation:

6 0
3 years ago
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What are the solutions to the following system?
bija089 [108]

The solutions are (\sqrt{2},-1) \text { and }(-\sqrt{2},-1).

Solution:

Given equation:

-2 x^{2}+y=-5

Add 2 x^{2} on both sides.

-2 x^{2}+y+2 x^{2}=-5+2 x^{2}

y=-5+2 x^{2} -------- (1)

y=-3 x^{2}+5 (given)  -------- (2)

Equate (1) and (2).

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Add 3 x^{2} on both sides.

-5+2 x^{2}+3 x^{2}=-3 x^{2}+5 +3 x^{2}

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Add 5 on both sides.

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Divide by 5 on both sides, we get

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Taking square root on both sides, we get

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y=-5+4

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Substitute x=-\sqrt{2} in (1).

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Therefore the solutions are (\sqrt{2},-1) \text { and }(-\sqrt{2},-1).

Option C is the correct answer.

6 0
3 years ago
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