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Lelu [443]
3 years ago
10

What is the slope of the line?

Mathematics
2 answers:
valina [46]3 years ago
7 0

Answer:

1/3

Step-by-step explanation:

PilotLPTM [1.2K]3 years ago
5 0
The slope of the line is 1/3
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What is 258/300 as a percent
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To transform it into percent we want to have 100 into denominator. The easiest way is divide numerator and denominator by 3 (thats because than it doesnt change the value of fraction), so:
\frac{258}{300}= \frac{258:3}{300:3}= \frac{86}{100} = 86% - its the result
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Consider the absolute value function f(x)=-|x+2|-2 The vertex of the function is
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(-2,-2)


Since it has a negative in front of the absolute value, the graph is a downward cone.
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The table shows the participation in a school's debate club during the last four years.
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2 years ago
The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse
SashulF [63]
<h3><u>The value of the larger number, x, is 57.</u></h3><h3><u>The value of the smaller number, y, is equal to 42.</u></h3>

x - y = 15

2x + 8 = 3y - 4

We can quickly get a temporary value for x by altering the original equation.

x - y = 15

<em><u>Add y to both sides.</u></em>

x = 15 + y

Now that we have a value of x, we can find the exact value of y.

2(15 + y) + 8 = 3y - 4

<em><u>Distributive property.</u></em>

30 + 2y + 8 = 3y - 4

<em><u>Combine like terms.</u></em>

38 + 2y = 3y - 4

<em><u>Subtract 2y from both sides.</u></em>

38 = y - 4

<em><u>Add 4 to both sides.</u></em>

y = 42

Now that we know the exact value of y, we can plug it back into the original equation.

x - 42 = 15

<em><u>Add 42 to both sides.</u></em>

x = 57

8 0
2 years ago
What is the equation of the line that is parallel to the line x = -2 and passes through the point (5.4)?
Leno4ka [110]

Lines parallel to each others only occur when two slopes of equations are same. The definition of parallel lines is:

\large \boxed{m_1 =  m_2}

We are given the equation of a line which is x = -2. For x = a, the equation forms a verical line and has an undefined slope. These below are basic that you may need to learn when learning about the line graph:

  • y = a —> horizontal line; slope is 0.
  • x = a —> vertical line; slope is undefined.
  • For y = a, any a-values would have same x-values. For example, if we are given y = 2 then any domains or x-values can have the range of 2.
  • For x = a, any a-values would have same y-values or range.

Back to the question. We want to find the equation of a line that is <u>p</u><u>a</u><u>r</u><u>a</u><u>l</u><u>l</u><u>e</u><u>l</u> to the line x = -2 and <u>p</u><u>a</u><u>s</u><u>s</u><u>e</u><u>s</u><u> </u><u>t</u><u>h</u><u>r</u><u>o</u><u>u</u><u>g</u><u>h</u><u> </u><u>(</u><u>5</u><u>,</u><u>4</u><u>)</u> point. Recall the definition of parallel line that both slopes of equations must equal. Since x = a for any a-values would give an undefined slope. That means our parallel would be x = b.

Because the line passes through (5,4) - for any a-values from x = a would give out the set of all real numbers for range. Therefore the equation of a line is x = 5.

Answer

  • The equation of a line that is parallel to x = -2 and passes through (5,4) is x = 5.

I hope this helps! If you have any doubts or questions, don't hestitate to ask in comment! Good luck on your assignment and have a great day!

4 0
3 years ago
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