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Vera_Pavlovna [14]
2 years ago
13

Rational Numbers:Question 7

Mathematics
1 answer:
nevsk [136]2 years ago
5 0

Answer:

<em>-5, -3 = Quadrant |||</em>

Step-by-step explanation:

-3, 5 = Quadrant ||

4, 2 = Quadrant |

2, -4 = Quadrant |||| (Quadrant |||| is also known as Quadrant IV)

<u><em>~ LadyBrain</em></u>

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What is the slope of a line perpendicular to the line whose equation is 3x+6y=-183x+6y=−18. Fully reduce your answer.
schepotkina [342]

Answer:

2

Step-by-step explanation:

The given equation of line is

3x+6y=-18

We need to find the slope of a line which is perpendicular to the given line.

The given equation can be rewritten as

3x+6y+18=0      ...(i)

If a line is defined as ax+bx+c=0, then the slope of the line is  

m=-\dfrac{a}{b}

In equation (i), a=3, b=6 and c=18. So, slope of the line is

m_1=-\dfrac{3}{6}=-\dfrac{1}{2}

Let m_2 be the slope of perpendicular line.

We know that product of two perpendicular line is -1.

m_1\cdot m_2=-1

(-\dfrac{1}{2})\cdot m_2=-1

Multiply both sides by -2.

m_2=2

Therefore, the slope of perpendicular line is 2.

6 0
3 years ago
When is the absolute value of a difference equal to the difference of the absolute values?
marshall27 [118]
<span>ax(d) = absolute value of the difference = ax(a-b).
d(ax) = difference of the absolute value = ax(a) - ax(b).
ax(a-b) = absolute value of (a - b).
ax(a) - ax(b) = absolute value of (a) minus absolute value of (b).

Hope this works :)</span>
7 0
2 years ago
What is the Common denominator?
melomori [17]

[] The fractions are

        \frac{12}{21}\\\\\frac{4}{7}

[] I see that 21 is a multiple of 7, so this one will be simple to solve.

-> 21 / 7 = 3, so we can do the following:

             \frac{4*3}{7*3}=\frac{12}{21}

[] Now they have a common denominator of <u>21</u>

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

7 0
2 years ago
An inhalation aerosol contains 225 mg of metaproterenol sulfate, which is sufficient for 300 inhalations. How many micrograms of
noname [10]

Answer:

Each inhalation has 750 micrograms of metaproterenol sulfate.

Step-by-step explanation:

First step: How many miligrams are there in each inhalation.This can be solved by a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this step, our measures are:

- The number of inhalations.

- The quantity inhaled.

As the number of inhalations increases, so does the quantity inhaled. This means that this is a direct rule of problem.

300 inhalations contains 225mg of metaproterenol sulfate. How many miligrams are in a inhalation?

300 inhalations - 225mg

1 inhalation - xmg

300x = 225

x = \frac{225}{300}

x = 0.75mg

Each inhalation has 0.75mg of metaproterenol sulfate.

Final step: Conversion of 0.75mg to micrograms.

Each mg has 1000 micrograms. So:

1mg - 1000 micrograms

0.75mg - x micrograms

x = 1000*0.75

x = 750 micrograms

Each inhalation has 750 micrograms of metaproterenol sulfate.

7 0
2 years ago
Mia bought 5 packs of gum. After giving 11 pieces to her niece, she put the remaining 29 pieces in her backpack. Write an equati
kolbaska11 [484]
5packs=40
Equation 40-11=29
5 0
2 years ago
Read 2 more answers
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