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Luda [366]
3 years ago
7

What is the slope of a line parallel to the line containing (-6,1) and (3,-2)

Mathematics
1 answer:
timama [110]3 years ago
3 0

Answer:

m = -\frac{3}{9}

Step-by-step explanation:

Use the following formula:

slope: m = (y_{2} - y_{1})/(x_{2} - x_{1})

Let:

(x_{1} , y_{1}) = (-6 , 1)\\ (x_{2} , y_ {2}) = (3 , -2)\\

Plug in the corresponding numbers to the corresponding variables:

m = \frac{-2 - 1}{3 - (-6)}\\\\m = \frac{-3}{3 + 6}\\\\m = \frac{-3}{9}

m = -\frac{3}{9} is your answer.

~

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What is the solution to the following system of equations?
kipiarov [429]

Answer:

(0, -6)

Step-by-step explanation:

Given the following systems of linear equations;

3x - 2y = 12 ...... equation 1

16x - 4y = 24 ........ equation 2

We would solve for the solution using the elimination method;

Multiplying eqn 1 by 2, we have;

2 * (3x - 2y = 12)

6x - 4y = 24

16x - 4y = 24

Subtracting the two equations, we have;

(6x - 16x) + (-4y -[-4y]) = (24 - 24)

-10x - 0 = 0

-10x = 0

x = -0/10 = 0

Next, we would find the value of y;

3x - 2y = 12

3(0) - 2y = 12

0 - 2y = 12

-2y = 12

y = -12/2

y = -6

Check:

3x - 2y = 12

3(0) - 2(-6) = 12

0 - (-12) = 12

12 = 12

Note: the options provided for this questions are incorrect or inappropriate.

5 0
3 years ago
Help me also with #8 !!!
iVinArrow [24]

Answer:216 is your answer

Step-by-step explanation:

4 0
3 years ago
Guilia runs an average of 15 minutes each day.She has a goal of running 10 to the power of two minutes in 7 days. Will she compl
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Yes because 10 to the power of 2 is 100 and if she runs 15 minutes a day for 7 days that would = 105 minutes

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Logarithm 2. The alkalinity of a fluid (pH) can be modeled in terms of its hydrogen ion concentration (H^+,measured in moles/lit
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ok. We are given the following equation:

ph=-\log (H)

Where:

\begin{gathered} P=\text{ alkalinity} \\ H=\text{ hydrogen ion concentration} \end{gathered}

Since we are asked to determine "H" we will solve for "H" in the equation. To do that we will first multiply both sides by -1:

-ph=\log (H)

Now, we will use the following property of logarithms:

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Applying the property and having into account that:

\log (H)=\log _{10}(H)

We get:

10^{-pH}=H

Now we substitute the given value of "pH = 4.5":

10^{-4.5}=H

Solving the operation:

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Therefore, the hydrogen ion concentration of the fluid is 0.000032

7 0
1 year ago
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