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3 years ago

Is 234 divisible by 6

2 answers:

8 0

<span>A number is divisible by 6 if it is even and divisible by 3. Consider 234. This is an even number. The sum of the digits is 9. It is divisible by 3, which is divisible by 6</span>
Yes, 234 divisible par 6
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Vikentia [17]3 years ago

5 0

We have 6 = 2 * 3 ;
234 is divisible by 2 because 234 is an even number ;
234 is divisible by 3 because 2 + 3 + 4 = 9 is divisible by 3 ;
The great common divisor of 2 and 3 is 1 ;
Finally, 234 is divisible by 6.

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Write the linear equation in slope intercept form that passes through the given points. (1, 4) and (6, -1)

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2 years ago

If the graph of the function g defined by g(x)=-2x^2+9. Is translated vertically downward by 8 units, it becomes the graph of a

tester [92]

G ( x ) = - 2 x² + 9
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3 years ago

Find the equation of the line through the point (–2, –2) that is perpendicular to the line y = 2x – 1.

lawyer [7]

Hi student, let me help you out!

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Perpendicular lines have slopes that are <u>opposite inverses </u>of each other.

The opposite inverse of 2 is $\mathrm{-\cfrac{1}{2}}$ .

Now let's stick in this number into the equation $\mathrm{y=mx+b}$ :

$\mathrm{y=-\cfrac{1}{2}x+b}$ . Let's carry out several operations to determine the y intercept.

First, let's stick in -2 for x and y (Do you remember that the line passes through (-2,-2)? We're given that piece of information.)

$\mathrm{-2=-\cfrac{1}{2}\times(-2)+b}$ .

You are probably thinking, "Why did you do that and just complicate things?" Wait for it! ^-^

Upon simplifying this, we obtain: $\mathrm{-2=1+b}$ . See, it's nice and smooth now.

One last operation remains. We need to subtract 1 from both sides: $\mathrm{-3=b}$ .

∴, the equation of the line is: $\mathrm{\underline{\boxed{y=-\cfrac{1}{2}-3}}}$

Hope this helped you out, ask in comments if any queries arise.

Best Regards!

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$\underline{\rule{300}{3}}$

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2 years ago