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3 years ago

-2+4(-x+4)=10 using distributive property and collecting like terms

Mathematics

1 answer:

stich3 [128]3 years ago

4 0

Answer:

Step-by-step explanation:

$-2+4(-x+4)=10\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\-2+(4)(-x)+(4)(4)=10\\\\-2-4x+16=10\qquad\text{combine like terms}\\\\-4x+(-2+16)=10\\\\-4x+14=10\qquad\text{subtract 14 from both sides}\\\\-4x+14-14=10-14\\\\-4x=-4\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{-4}{-4}\\\\x=1$

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Gennadij [26K]

Answer:

2) (3,-2)

Step-by-step explanation:

the solution is where the lines intersect. they intersect at one point because this function is linear. they intersect at the point (3,-2)

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2 years ago

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Answer:

Step-by-step explanation:

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2 years ago

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3 years ago

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SOVA2 [1]

Answer:

Step-by-step explanation:

This is assuming the following:

1) fork boxes comes with 12 count.

2) spoon boxes comes in 18 count.

3) knife boxes comes in 24 count.

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2 years ago

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Monica [59]

Here we want to find the equation of the line containing the median CP.

P, being the midpoint of AB can be found using the midpoint formula as:

$\displaystyle{ P=( \frac{-4+4}{2} , \frac{-2+4}{2} )=(0, 1)$ .

The slope m of the line through CP can be found by the slope formula using points C(18, -8) and P(0, 1):

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Now, we can write the equation of the line with slope -1/2, passing through
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$y-1= \frac{-1}{2}(x-0)\\\\y= -\frac{1}{2}x+1$ .

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3 years ago