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Mariulka [41]
3 years ago
8

Simplify the expression below.

Mathematics
1 answer:
Mazyrski [523]3 years ago
7 0

Answer:

D. x^24

Step-by-step explanation:

If it is in the parenthesis you multiply.

-2*-12= 24

Two negatives equals a positive.

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250 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 250 students
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Step-by-step explanation:

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Write the equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6)
Lady bird [3.3K]

Answer <u>(assuming it can be in slope-intercept form)</u>:

y = -2x  +10    

Step-by-step explanation:

1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula  y = mx + b. Isolate y:

2x + y = 3\\y = -2x + 3

The number in place of m, or the coefficient of the x-term, represents the slope of the equation. So, the slope of the given equation is -2.

Lines that are parallel share the same slope. So, the slope of the new equation will be -2 as well.  

2) Now, remember that the slope-intercept form is represented by the formula y = mx + b. In order to write an equation of a line using that formula, we need to substitute values for m and b. We know m is the slope, so we already know what that equals. Now, we just need to find b.

To do that, substitute -2 for m in the slope-intercept formula. Additionally, substitute the x and y values of the point (2,6) for the x and y in the formula as well. This sets up the equation so that we can isolate b and find its values:  

y = mx +b\\6 = (-2)(2)+b\\6 = -4 + b\\10 = b

So, b = 10.

3) Substitute values for b and m into the slope-intercept formula to write the slope-intercept form of the line:

y = -2x  +10

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3 years ago
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