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alexandr1967 [171]
3 years ago
5

The greatest common factor of any two even numbers is always even. True or false and why?

Mathematics
1 answer:
alina1380 [7]3 years ago
3 0
Yes. Two even numbers are each divisible by 2. The GCF must therefore always have two as one of its factors; this makes it even.
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Solve the following equation for x.<br> 0.1(x + 250) = 5,000<br> h
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Answer:

x=49750

Step-by-step explanation:

0.1(x + 250) = 5,000

Divide each side by .1

0.1(x + 250)/.1 = 5,000/.1

x+250 =50000

Subtract 250 from each side

x+250-250 = 50000-250

x=49750

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Let f(x) = x2 − 16. Find f−1(x)
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f^{-1}(x)=\pm\sqrt{x+16}

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y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}

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What equation is equal to<br> 3/8 less than a number is 11
PtichkaEL [24]

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I WILL MARK YOU BRAINLYEST if you answer all of my problems !!!!!!!!!!!
Romashka [77]

First, let's convert each line to slope-intercept form to better see the slopes.

Isolate the y variable for each equation.

2x + 6y = -12

Subtract 2x from both sides.

6y = -12 - 2x

Divide both sides by 6.

y = -2 - 1/3x

Rearrange.

y = -1/3x - 2


Line b:

2y = 3x - 10

Divide both sides by 2.

y = 1.5x - 5


Line c:

3x - 2y = -4

Add 2y to both sides.

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Add 4 to both sides.

2y = 3x + 4

Divide both sides by 2.

y = 1.5x + 2


Now, let's compare our new equations:

Line a: y = -1/3x - 2

Line b: y = 1.5x - 5

Line c: y = 1.5x + 2

Now, the rule for parallel and perpendicular lines is as follows:

For two lines to be parallel, they must have equal slopes.

For two lines to be perpendicular, one must have the negative reciprocal of the other.

In this case, line b and c are parallel, and they have the same slope, but different y-intercepts.

However, none of the lines are perpendicular, as -1/3x is not the negative reciprocal of 1.5x, or 3/2x.

<h3><u>B and C are parallel, no perpendicular lines.</u></h3>
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