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2 years ago

Can someone simplify this expression? 14y – 5(3 – 2y) and explain how you got it.

Mathematics

2 answers:

Tcecarenko [31]2 years ago

6 0

14y - 5(3-2y)
Distribute what's in the parenthesis
14y- (15+10y)
Combine like terms
24y-15

Paraphin [41]2 years ago

4 0

You first expand the brackets so
14y-15-10y
then you put the like terms together so you do 14y-10y= 4y
4y-15 which is the answer

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2 years ago

Read 2 more answers

Write the equation of the line that passes through the points (2,−8) and (1,7). Put your answer in fully reduced point-slope for

ValentinkaMS [17]

Point-slope form of equation is: $y - 7 = -15(x-1)$

Step-by-step explanation:

Given points are:

(2,-8) and (1,7)

First of all we have to calculate the slope of the line

so,

$m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{7-(-8)}{1-2}\\=\frac{7+8}{-1}\\=\frac{15}{-1}\\= -15$

Point-slope form is given by:

$y-y_1 = m(x-x_1)$

Putting the value of slope

$y-y_1 = -15(x-x_1)$

We can put any one of two given points in the equation to find the final form of point-slope form

Putting (1,7) in the equation

$y - 7 = -15(x-1)$

Hence, point-slope form of equation is: $y - 7 = -15(x-1)$

Reducing and simplifying

$y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8$

Keywords: Point-slope form, equation of line

Learn more about equation of line at:

#LearnwithBrainly

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2 years ago