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goblinko [34]
3 years ago
13

Find the greatest common factor for the expression.

ormula1" title="2x(4x-2)-3(4x-2)" alt="2x(4x-2)-3(4x-2)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Tanzania [10]3 years ago
7 0

The greatest common factor (gcf) is 2.

Step-by-step explanation:

If we distribute the 2x and the -3 using FOIL we get:

8x²-16x+6

The gcf that we can take from this equation is 2.

so the final equation is:

2(4x²-8x+3)

Making the gcf 2.  

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What is the equation of a line that is perpendicular to y=-5x+11 and passes through the point (3,3)?
son4ous [18]

Answer:

y=\frac{1}{5}x+\frac{12}{5}

Step-by-step explanation:

The slope of a line that is perpendicular to another will have an opposite-reciprocal slope. So, if the slope was -2, then the perpendicular slope would be \frac{1}{2} .

y=-5x+11

This is written in slope-intercept form:

y=mx+b

m is the slope and b is the y-intercept. Find the opposite-reciprocal of the slope, -5:

y=\frac{1}{5} x+b

Now we need to find the y-intercept. For this, substitute the given points for its appropriate value:

(3_{x},3_{y})\\\\3=\frac{1}{5}(3)+b

Solve for b:

Simplify multiplication:

\frac{1}{5}*\frac{3}{1}=\frac{3}{5}

Insert:

3=\frac{3}{5}+b

Subtract b from both sides:

3-b=\frac{3}{5}+b-b\\\\3-b=\frac{3}{5}

Subtract 3 from both sides:

3-3-b=\frac{3}{5}-3\\\\-b=\frac{3}{5}-3

Simplify subtraction:

\frac{3}{5}-3\\\\\frac{3}{5}-\frac{3}{1}\\\\\frac{3}{5}-\frac{15}{5}=-\frac{12}{5}

Insert:

-b=-\frac{12}{5}

Multiply both sides by - 1 to simplify b (it can be seen as -1b):

-b*(-1)=-\frac{12}{5}*(-1)\\\\b=\frac{12}{5}

Insert:

y=\frac{1}{5}x+\frac{12}{5}

:Done

6 0
3 years ago
What is -d=|300-48t|
spayn [35]

I believe it would be b= -264

(I’m not 100% sure though so you might wanna check)

3 0
4 years ago
What can I add to get -6?
krok68 [10]
So what you would need to add to get -6 is -5-1 then your answer would be -6 hope this helps!
3 0
2 years ago
Read 2 more answers
A figure has vertices at the points (6,5), (6,-4), (-4,-4) and (-4,5). What is the area of the figure
Oxana [17]

Answer:

  90 units²

Step-by-step explanation:

The rectangular figure is 10 units wide (from -4 to +6) and 9 units high (from -4 to +5), so its area is 10·9 = 90 square units.

7 0
4 years ago
A librarian arranged some books on the shelf using the Dewey decimal system. Choose the group of book numbers that is listed in
lara [203]

The answer is C), 834, 834.19, 834.2, 834.29

I know this is late, but I hope it was helpful!

8 0
4 years ago
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