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professor190 [17]
2 years ago
15

What is an equation of the line that passes through the points (6,2) and

Mathematics
1 answer:
S_A_V [24]2 years ago
6 0

(\stackrel{x_1}{6}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{6}}}\implies \cfrac{-1}{1}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-1}(x-\stackrel{x_1}{6}) \\\\\\ y-2=-x+6\implies y=-x+8

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Find the equivalent expression for 3+2[2p+4t]
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Answer:

3 + 4p + 8t

Step-by-step explanation:

3+2[2p+4t]

Distribute

3 + 4p + 8t

There are no like terms to combine

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3 years ago
Steven investigates the amount of damage to the head gaskets on the trucks in his fleet and finds that the damage index depends
pshichka [43]

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3 years ago
54 ÷ 6 x (12-4) + 2 =​
Aleksandr-060686 [28]

Answer:

3

Step-by-step explanation:

1. 54÷6 =9

2. (12-4)=8

3. 9-8 = 1

4. 1+2 = 3

5. I hope this helps it's pretty simple oh and 3 is your anansw.Also you can you your calculator

5 0
3 years ago
Read 2 more answers
Which is smaller 1/2 or 3/8​
ludmilkaskok [199]

Answer:

3/8 is smaller

Step-by-step explanation:

because it not have of 8 as for 1/2 is half so your answer is 3/8

7 0
3 years ago
Please help me find the answer pls​
fiasKO [112]

Answer:

A. Solutions are: x = 2, y = 1.

B. Solutions are: x = 3, y = 2.

C.

1. Inconsistent

2. Inconsistent

3. Consistent

Step-by-step explanation:

A. Solutions of each system of linear equations by substitution method:

Equation 1:      3x - 2y = 4

Equation 2:               x = 2y

<u>Step 1:</u> Substitute x = 2y into the Equation 1:

3(2y) - 2y = 4

6y - 2y = 4

4y = 4

Step 2: Divide both sides of the equation by 4 to isolate y:

\frac{4y}{4}  = \frac{4}{4}

y = 1.

<u>Step 3:</u> For Equation 2, x = 2y, substitute y = 1 into the equation to solve for x:

x = 2y  

x = 2(1)

x = 2  

Therefore, the solutions are:  x = 2, y = 1.

B. Find the solutions of each system of linear equations by elimination method:  

Equation 1:      2x + y = 8

Equation 2:        x + y = 5

<u>Step 1:</u> Multiply Equation 2 by 2:  

2(x + y) =  5(2)

2x + 2y = 10

<u>Step 2:</u> Subtract Equation 1 from the equation derived from Step 1,  2x + 2y = 10:

   2x + 2y = 10

-  <u>2x +  y  =   8</u>

        y =   2

Step 3: Plug in y =  2 into Equation 1, 2x + y = 8 to solve for x:

2x + y = 8

2x + (2) = 8

<u>Step 4:</u> subtract both sides of the equation by 2 to isolate x:

2x + 2 - 2 = 8 - 2

2x = 6

<u>Step 5:</u> Divide both sides of the equation by 2 to solve for x:

\frac{2x}{2}  = \frac{6}{2}

x = 3.

The solutions are: x = 3, y = 2.

C:

1. Inconsistent

2. Inconsistent  

3. Consistent (infinitely many solutions)

3 0
3 years ago
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