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sesenic [268]
3 years ago
15

PLEASE HELP! Slope parallel to line y = 2x/3 + 4 PLZ!

Mathematics
1 answer:
marta [7]3 years ago
5 0

Answer:

2/3

Step-by-step explanation:

I think you meant y=2/3x+4 because what you wrote is not the right way to right that equation, but anyways the slope of the parallel line is 2/3 because lines that are parallel have the same slope.

I hope this helps!

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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:

\log _aB=c\rightarrow B=a^c

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:

0.000032=H

Therefore, the hydrogen ion concentration of the fluid is 0.000032

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A conical water tank with vertex down has a radius of 14 feet at the top and is 28 feet high. If water flows into the tank at a
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Answer:

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Step-by-step explanation:

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2 years ago
Find the slope of each line.<br> 1)<br> (-1, 1), (-1, 4)
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Answer:

The line presented has an undefined slope.

Step-by-step explanation:

We are given two points of a line: (-1, 1) and (-1, 4).

Coordinate pairs in mathematics are labeled as (x₁, y₁) and (x₂, y₂).

  • The x-coordinate is the point at which if a straight, vertical line were drawn from the x-axis, it would meet that line.
  • The y-coordinate is the point at which if a straight, horizontal line were drawn from the y-axis, it would meet that line.

Therefore, we know that the first coordinate pair can be labeled as (x₁, y₁), so, we can assign these variables these "names" as shown below:

  • x₁ = -1
  • y₁ = 1

We also can use the same naming system to assign these values to the second coordinate pair, (-1, 4):

  • x₂ = -1
  • y₂ = 4

We also need to note the rules about slope. There are different instances in which a slope can either be defined or it cannot be defined.

<u>Circumstance 1</u>: As long as the slope is not equal to zero, there can be a

  • positive slope, \frac{1}{3}
  • negative slope, -\frac{5}{6}

<u>Circumstance 2</u>: If the slope is completely vertical (there is not a "run" associated with the line), there is an undefined slope. This is the slope of a vertical line. An example would be a vertical line (the slope is still zero).

<u>Circumstance 3</u>: If the line is a horizontal line (the line does not "rise" at all), then the slope of the line is zero.

Therefore, a slope can be positive, negative, zero, or undefined.

Now, we need to solve for the line we are given.

The slope of a line is determined from the slope-intercept form of an equation, which is represented as \text{y = mx + b}.

The slope is equivalent to the variable <em>m</em>. In this equation, y and x are constant variables (they are always represented as y and x) and <em>b</em> is the y-intercept of the line.

We can do this by using the coordinates of the point and the slope formula given two coordinate points of a line: m=\frac{y_2-y_1}{x_2-x_1}.

Therefore, because we defined our values earlier, we can substitute these into the equation and solve for <em>m</em>.

Our values were:

  • x₁ = -1
  • y₁ = 1
  • x₂ = -1
  • y₂ = 4

Therefore, we can substitute these values above and solve the equation.

\displaystyle{m = \frac{4 - 1}{-1 - -1}}\\\\m = \frac{3}{0}\\\\m = 0

Therefore, we get a slope of zero, so we need to determine if this is a vertical line or a horizontal line. Therefore, we need to check to see if the x-coordinates are the same or if the y-coordinates are the same. We can easily check this.

x₁ = -1

x₂ = -1

y₁ = 1

y₂ = 4

If our y-coordinates are the same, the line is horizontal.

If our x-coordinates are the same, the line is vertical.

We see that our x-coordinates are the same, so we can determine that our line is a vertical line.

Therefore, finding that our slope is vertical, using our rules above, we can determine that our slope is undefined.

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2 years ago
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