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Vladimir79 [104]
3 years ago
11

The expression shown below

Mathematics
1 answer:
LekaFEV [45]3 years ago
7 0
First you must factor out a -4 giving you -8(2x^2-3x-4) then find what numbers multiply to equal -8 (you get that number by multiplying the leading coefficient 2 and the constant -2) and add to give you -3. Those numbers are -4 and 1. So the factored form of the original equation is -8(2x+1)(x-2) the reason why you have a -2 instead of -4 in the second parentheses is because when you multiply by the 2x in the first parentheses it will equal 4x.
Hope this helps!
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Answer:

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Find the equation of a line perpendicular to -4x+y=10 that passes through the point (-4,9)
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Answer:

y=-1/4x+8

Step-by-step explanation:

To find the equation of a line that is perpendicular to a line, you would take the opposite reciprocal of the slope.

Before that, we need to change the equation into slope-intercept form.

-4x+y=10

y=4x+10

The opposite reciprocal of the slope is -1/4.

Now, let's use the point-slope formula to find our equation of the line that passes through (-4,9).

y-y1=m(x-x1)

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A rectangular board is 1.5 meters long and 0.8 meters wide. What is the area of the board in square millimeters? Do not round yo
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Read 2 more answers
Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points)
nasty-shy [4]

The value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have equation:

4(x + 5) = 9x + 4x − 34  (Given)

4x +20 = 9x + 4x − 34    (Distributive Property)

4x +20 +34 -4x = 9x + 4x − 34 + 34 -4x   (Subtraction Property of Equality)

54 = 9x + 4x − 34 + 34 -4x  (Addition Property of Equality)

54 = 9x  (Combine Like Terms)

x = 54/9   (Division Property of Equality)

x = 6

Thus, the value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

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