How do you know that 5,7,8,9,10 and 11 are not factors of 12

2 answers:

5 0

you cannot multiply any of the numbers above by another to get 12, the factors of 12 would be 1,2,3,4,6,12 1x12= 12 2x6=12 4x3=12

Phantasy [73]3 years ago

3 0

You know the numbers listed above are not factors of 12 because they cannot be multiplied by anything to equal twelve (ex. 5 cant be multiplied by anything to equal 12, the closest would be 5 x 3 which is 15, not twelve) so, 5, 7, 8, 9, 10, and 11 are not factors of 12 because they cannot be multiplied by another number to result in 12.

Hope this helps!

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Find the center and radius of the circle with the equation. Please show work!

mina [271]

Answer:

Step-by-step explanation:

The equation of a circle:

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

(h, k) - center

r - radius

We have:

$x^2-2x+y^2+4y=4\qquad\text{add}\ 1^2\ \text{and}\ 2^2\ \text{to both sides}\\\\x^2-2x+1^2+y^2-2(-2)(y)+2^2=2(1^2)(2^2)\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\(x-1)^2+(y-(-2))^2=8\\\\h=1,\ k=-2\to(1,\ -2)$