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Ne4ueva [31]
3 years ago
13

Answer the question above on the ixl tab, please.

Mathematics
1 answer:
kramer3 years ago
8 0

Answer:

<h2>The answer is 10</h2>

Step-by-step explanation:

The formula for finding the combination of two given positive numbers is given by

<h3>_{n}C _{r} =  \frac{n!}{(n - r)!r!}</h3>

Where n and r are positive numbers

From the question we have

5 C 3

<u>Simplify</u>

That's

<h3>\binom{5}{3}  =  \frac{5!}{(5 - 3)!3!}  =  \frac{120}{2! \times 3  !}  \\  =  \frac{120}{2 \times 6}  \\  =  \frac{120}{12}</h3>

We have the final answer as

<h3>10</h3>

Hope this helps you

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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
A military cannon is placed at the base of a hill. The cannon is fired at an angle toward the hill. The path
katrin [286]

Answer:

Algebracicaly speaking the answer would be either -13.3876 or - 158.612 through the quadratic equation, but these answers don’t make sense in this real world scenario.

Step-by-step explanation:

7 0
2 years ago
Help me with 3, and 5 show your work !
ss7ja [257]
Okay so for number 3, you have to do the top work first.

3: POSITIVE 2!! first, you do the stuff inside the parentheses first because of P(parentheses)EMDAS. so, 14-2-10! -2-10 is -12 and then plus positive 14 is +2. but, the negative sign outside of the parentheses makes that +2 a -2.
but, you cant forget the -12 outside. you have to do -12-2 which gets you -14. then, this is easy! -14 divided by -7 is a positive 2!

5: POSITIVE 3!! again, do the stuff in the parentheses first!! -2-4 is -6. then, -6 x 2 is -12! so, divide -12 by -4 and you get a positive 3!
5 0
2 years ago
Given the function s(x) = 7x - 17, find s(-8).
Scrat [10]

Answer:

-73

Step-by-step explanation:

substitue the -8 in for x. then multiply -8 by 7 you get -56. then subtract 17.

8 0
3 years ago
6m+10p when m=8 and p=14
Luba_88 [7]

Idk sorryyyyyyyyyyyyyyyyyyy
3 0
3 years ago
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