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3 years ago

Which Expression Is Equivalent to 486-9+6+3^3•2

Mathematics

2 answers:

ValentinkaMS [17]3 years ago

8 0

486 - 9 + 6 + 3³ · 2 = 477 + 6 + 27 · 2 = 483 + 54 = 537

Drupady [299]3 years ago

6 0

486-9+6+27*2
=486-9+6+54
= 537

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3 years ago

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melisa1 [442]

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

Solution:

Given line $y=\frac{4}{7} x+4$ .

Slope of this line, $m_1$ = $\frac{4}{7}$

$$\text{Slope of perpendicular line} = \frac{-1}{\text{Slope of the given line} }$

$$m_2=\frac{-1}{m_1}$

$$=\frac{-1}{\frac{4}{7} }$

Slope of perpendicular line, $m_2=\frac{-7}{4}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

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

$$y-(-7)=\frac{-7}{4} (x-5)$

$$y+7=\frac{-7}{4} x+\frac{35}{4}$

Subtract 7 from both sides, we get

$$y=\frac{-7}{4} x+\frac{7}{4}$

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

To find the parallel line:

Slopes of parallel lines are equal.

$m_1=m_3$

$$m_3=\frac{4}{7}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$$y-(-7)=\frac{4}{7} (x-5)$

$$y+7=\frac{4}{7} x-\frac{20}{7}$

Subtract 7 from both sides,

$$y=\frac{4}{7} x-\frac{69}{7}$

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

7 0

3 years ago

Find two consecutive odd integers such that 32 more than the lesser is three times the greater

Maslowich

Answer:

First odd number = 13

Second odd number = 15

Step-by-step explanation:

Let

First odd number = 2x + 1

Second odd number = 2x + 3

According to given conditions:

32 + 2x + 1= 3 (2x + 3)

33 + 2x = 6x + 9

Taking terms with x to left and constants to right

2x - 6x = 9 - 33 (sign of transferred terms will be changed)

-4x = -24

Dividing both sides by -4

x = -24/-4

x =6

So,

First odd number = 2x + 1 = 2*6 + 1 = 12 + 1 =13

Second odd number = 2x + 3= 2*6 +3= 12 + 3 = 15

I hope it will help you!

4 0

4 years ago