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Alex
3 years ago
12

The following points were plotted on the coordinate plane:

Mathematics
1 answer:
Inessa05 [86]3 years ago
3 0

Step-by-step explanation:

Its a parallelogram

Hope it helps

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The equations of three lines are given below. Line 1: y = - 3/4 x + 3 Line 2/8 x - 6y = 2 Line 3/- 3y = 4x + 7 For each pair of
Maru [420]

Answer:

No parallel lines

Lines 1 and 3 are perpendicular

Step-by-step explanation:

Given:

Line\ 1:y = -\frac{3}{4}x + 3

Line\ 2: \frac{2}{8}x -6y = 2

Line\ 3: 3y = 4x + 7

Required

Determine if they are parallel, perpendicular or not

The slope intercept of a line has the form:

y = mx + b

Where

m = slope

First, we calculate the slope of each lines

Line\ 1:y = -\frac{3}{4}x + 3

Compare the above to y = mx + b

m_1 = -\frac{3}{4}

Line\ 2: \frac{2}{8}x -6y = 2

\frac{2}{8}x -6y = 2

Make -6y the subject

-6y = 2 - \frac{2}{8}x

Divide through by -6

y = -\frac{2}{6} + \frac{2}{8*6}x

y = -\frac{1}{3} + \frac{1}{8*3}x

y = -\frac{1}{3} + \frac{1}{24}x

y = \frac{1}{24}x-\frac{1}{3}

Compare the above to y = mx + b

m_2 = \frac{1}{24}

Line\ 3: 3y = 4x + 7

3y = 4x + 7

Divide through by 3

y = \frac{4}{3}x + \frac{7}{3}

Compare the above to y = mx + b

m_3 = \frac{4}{3}

So, we have:

m_1 = -\frac{3}{4}

m_2 = \frac{1}{24}

m_3 = \frac{4}{3}

None of the slopes are the same, so none of the lines are parallel.

However, lines 1 and 3 are perpendicular.

This is shown below

When the slope of two lines satisfy the following condition, then they are  perpendicular.

m_1 = -\frac{1}{m_3}

This gives:

-\frac{3}{4} = -\frac{1}{4/3}

-\frac{3}{4} = -1/\frac{4}{3}

Convert / to *

-\frac{3}{4} = -1*\frac{3}{4}

-\frac{3}{4} = -\frac{3}{4}

3 0
3 years ago
The sum of two numbers is 35 . The smaller number is 17 less than the larger number. What is the largest and the smallest number
Aleks [24]
X + x - 17 = 35
2x - 17 = 35
+ 17
2x = 52
÷ 2
x = 26 (larger number)

35 - 26 = 9 (smaller number)
6 0
3 years ago
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Select the correct answer.<br> What is the range of the function represented by the graph?
MrRissso [65]
It will be answer choice B because it’s including 2 as your y value and it’s going to infinity so it’s y greater than or equal to 1
4 0
3 years ago
Read 2 more answers
Find the measures of the numbered angles in each figure
inessss [21]
1 is 90o
2 is 90 - 27 = 63
3  63 angles 2 and 3 are in an isosceles triangle. They are opposite equal sides so the angles are equal.
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24 dollars for 7 books can you give me the rate and unit plz and thank you love
bixtya [17]

Answer:

4 dollars per book

Step-by-step explanation:

5 0
3 years ago
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