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Ierofanga [76]
3 years ago
14

Write an equation of the line that passes through the point (12.2) and has a slape of -1/4

Mathematics
2 answers:
shepuryov [24]3 years ago
7 0

Answer:

y = - \frac{1}{4} x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - \frac{1}{4}, hence

y = - \frac{1}{4} x + c ← is the partial equation

To find c substitute (12, 2) into the partial equation

2 = - 3 + c ⇒ c = 2 + 3 = 5

y = - \frac{1}{4} x + 5 ← equation of line

Sever21 [200]3 years ago
5 0

<em>answer</em><em> </em><em>:</em>

y=-1/4x+5

my work:

y=mx+b

2=-1/4(12)+b

2=-3+b

+3 +3

5=b

y=-1/4x+5

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3 years ago
What is 10 to the power of -8
saw5 [17]

Answer:

\frac{1}{100000000}  

I hope this helps!

4 0
3 years ago
Read 2 more answers
Solve the following system of equations for all three variables.
GrogVix [38]

Answer:

(x,y,z) -> (2,4,1)

Step-by-step explanation:

-7x + y + z = -9

-7x + 5y - 9z = -3

7x - 6y + 4z = -6

Pick two pairs:

-7x + 5y - 9z = -3

7x - 6y + 4z = -6

and

-7x + y + z = -9

-7x + 5y - 9z = -3

Eliminate the same variable from each system:

-7x + 5y - 9z = -3

7x - 6y + 4z = -6

+ 5y - 9z = -3

- 6y + 4z = -6

<u><em>-1y - 5z = - 9</em></u>

-7x + y + z = -9

-7x + 5y - 9z = -3

-7x + y + z = -9

7x - 5y + 9z = 3

<u><em>-4y - 10z = -6</em></u>

Solve the system of the two new equations:

-1y - 5z = - 9           ->      -4 ( -1y - 5z = - 9)     ->   4y + 20z = 36  

-4y - 10z = -6          ->           -4y - 10z = -6      ->   -4y - 10z = -6

10z = 30

Thus, z = 3

-4y - 10z = -6

-4y - 10(3) = -6

-4y - 30 = -6

-4y = 24

Thus, y = -6

Substitute into one of the original equations:

-7x + y + z = -9

-7x + (-6) + (3) = -9

7x + -3  = -9

7x  = -6

x =

4 0
3 years ago
Multiply the additive inverse of (-7/8) by the reciprocal of (5 1/2)​<br><br>PLEASE HELP!
EleoNora [17]

Answer:

\bold {$\dfrac{7}{44}$}

Step-by-step explanation:

<h3> Reciprocal:</h3>

    \sf \text{The reciprocal of any number $\dfrac{a}{b}$ is given by $\dfrac{b}{a}$}\\\\5\dfrac{1}{2}=\dfrac{11}{2}\\\\\text{Reciprocal of $\dfrac{11}{2}$  = $\dfrac{2}{11}$}

<h3>Additive inverse:</h3>

 \text{Additive inverse of $\dfrac{-7}{8}$=$\dfrac{7}{8}$}

        Now multiply,

          \sf \dfrac{7}{8}*\dfrac{2}{11}=\dfrac{7}{4}*\dfrac{1}{11}\\

                      =\dfrac{7}{44}

7 0
2 years ago
How much is a 15 percent down payment on a purchase of 205,000
insens350 [35]
Change 15% into a decimal

15% = 15/100 = 0.15

multiply 0.15 and 205,000 together

205000 x 0.15 = <span>30750

$30,750 is your answer

hope this helps</span>
6 0
4 years ago
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