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anyanavicka [17]
3 years ago
10

What is the equation, in slope-intercept form, of the line parallel to y = 5x +2 that passes through the point with coordinates

(-3,2)
Mathematics
1 answer:
DaniilM [7]3 years ago
6 0

Answer:

<em>Slope - intercept form  y = 5x+17</em>

<em>The equation of the parallel line to the given line is 5x-y +17=0</em>

Step-by-step explanation:

<u><em>Explanation</em></u>

The equation of the straight line is y= 5x+2

                                          5x - y +2=0

The equation of the straight line is 5x-y+2=0

Given that the point(-3,2)

The equation of the parallel line to the given line is

                              5x -y +k=0

                              5(-3) - 2+k=0

                              -15 -2 +k =0

                               -17 +k=0

                                     k =17

The equation of the parallel line to the given line is 5x-y +17=0

<u><em>Final answer:-</em></u>

<em>Slope - intercept form  y = mx+c</em>

<em>Slope - intercept form  y = 5x+17</em>

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Solve the following problems mentally and match it to its corresponding solution.
HACTEHA [7]

Answer:

<h3>1. t=10</h3><h3>2. t=4</h3><h3>3. t=40</h3>

Step-by-step explanation:

Isolate the term of t from one side of the equation.

<h3>1. 4t=40</h3>

First, you have to divide by 4 from both sides.

4t/4=40/4

Solve.

Divide the numbers from left to right.

40/4=10

<h3><u>t=10</u></h3>

<h3>2. 10+t=14</h3>

<u>First, change sides.</u>

t+10=14

<u>Then, subtract by 10 from both sides.</u>

t+10-10=14-10

<u>Solve.</u>

<u>Subtract the numbers from left to right.</u>

14-10=4

<h3><u>t=4</u></h3>

<h3>3. 70-t=30</h3>

First, subtract by 70 from both sides.

70-t-70=30-70

Solve.

30-70=-40

<u>Rewrite the problem down.</u>

-t=-40

Divide by -1 from both sides.

-t/-1=-40/-1

<u>Solve.</u>

<u />

<u>Divide the numbers from left to right.</u>

-40/-1=40

<h3><u>t=40</u></h3>

  • <u>Therefore, the correct answer is t=10, t=4, and t=40.</u>

I hope this helps! Let me know if you have any questions.

6 0
3 years ago
Read 2 more answers
Mrs.joshi bought a saree for Rs 1750.she sold it at a profit of 4%.what would be her profit or loss percent ?​
bekas [8.4K]

Answer: Rs 1820

Step-by-step explanation:

This is profit, thus is it a percentage increase of 4%. Thus, she sold the saree for 104% of what she bought it for, Rs 1750.  Thus, simply do 1.04*1750 to get 1820.

<em>Hope it helps <3</em>

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3 years ago
Which number is the largest A. 0.37 B. 0.037 C. 0.004
DENIUS [597]
The correct answer is A
8 0
3 years ago
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What set of three numbers could represent the lengths of the side of a right triangle?
klemol [59]

Answer:

C.) 5, 12, 13

Step-by-step explanation:

In a right triangle, the sum of the squares of the two shorter sides must equal the square of the longest side (Pythagoras).

a² + b² = c²

We can test each set of numbers to see which one fits.

A.) 8² +  12² =   16²

    64 + 144 = 256

           208 ≠ 256

B.) 6² +  7² =  8²

   36 + 49 = 64

           85 ≠ 64

C.) 5² +  12² =   13²

    25 + 144 = 169

            169 = 169

The numbers 5, 12, and 13 could represent the lengths of the sides of a right triangle.

D.) 16² +    32² =    36²

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7 0
3 years ago
Find m∠ABC = 7x - 4 and m∠BDC = 9x - 1 and and m∠ABC = 107°, find x, m∠ABC and m∠BDC.
Artyom0805 [142]

Answer:

m<BDC = 62 degrees

Step-by-step explanation:

Using the expression;

<ABC = <ABD + <DBC

107 = 7x-4 + 9x - 1

107 = 16x-5

16x = 107 + 5

16x = 112

x = 112/16

x = 7

Get m<DBC

m<BDC = 9x - 1

m<BDC = 9(7)-1

m<BDC = 63 - 1

m<BDC = 62 degrees

6 0
3 years ago
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