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notsponge [240]
3 years ago
6

What is the slope of a line perpendicular to the line whose equation is

Mathematics
1 answer:
kotykmax [81]3 years ago
5 0

Answer:

slope = 2

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 )

Given

x + 2y = - 16 ( subtract x from both sides )

2y = - x - 16 ( divide all terms by 2 )

y = - \frac{1}{2} x - 8 ← in slope- intercept form

with slope m = - \frac{1}{2}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{2} } = 2

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Afina-wow [57]

Answer:

-6x⁶ + 4x⁴ - 3x³ + 4x² + 12

Step-by-step explanation:

To write an equation in standard form, you want to arrange the terms from increasing to decreasing powers/exponents.

given: 4x² - 6x⁶ + 2x³ + 12 - 5x³+ 4x⁴

First, lets arrange like terms together. Put the terms with the same exponent together.

2x³ - 5x³ + 4x² - 6x⁶ + 12 + 4x⁴

Now combine the terms with the same exponent by subtracting 5x³ from 2x³.

-3x³ + 4x² - 6x⁶ + 12 + 4x⁴

Now let's arrange the terms from increasing to decreasing powers/exponents.

-6x⁶ + 4x⁴ - 3x³ + 4x² + 12

This is your equation in standard form.

Hope this helps!

3 0
3 years ago
What is the solution to the inequality?<br> <br> 10x + 18 &lt; -2
padilas [110]
Let's solve your inequality step-by-step.

<span><span><span>10x</span>+18</span><<span>−2

</span></span>Step 1: Subtract 18 from both sides.

<span><span><span><span>10x</span>+18</span>−18</span><<span><span>−2</span>−18

</span></span><span><span>10x</span><<span>−20

</span></span>Step 2: Divide both sides by 10.

<span><span><span>10x/</span>10</span><<span><span>−20/</span>10

</span></span><span>x<<span>−2

</span></span>Answer:

<span>x<<span>−<span>2</span></span></span>
4 0
3 years ago
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tamaranim1 [39]

Answer:

the blue model

20 birds in all

Step-by-step explanation:

8 0
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Solve this equation: please show all the work<br><br> <img src="https://tex.z-dn.net/?f=x%5E%7B3%7D-y%2B9-%28xy%29" id="TexFormu
puteri [66]
x^{3}  - y + 9 - (xy)
(3)^{3} - (6) + 9 - (3 * 6)
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12
4 0
3 years ago
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Lady bird [3.3K]

Answer:

The answer is 90 winners.

Step-by-step explanation:

Well, we are given three days. The first day has a rate of 13% winning. The second day has a rate of 13% as well. And the third day has a rate of 11%. You can find this simply by dividing the amount of winners by amount of participants. Now, we must find the mean, or average, of these statistics. We will get 12% as the average rate of winners. How did we get this? By simply adding all three (13+13+11) then dividing by three (37/3), which gives us 12% if we round to a whole number. Now, we can take this number and get 12% of 750. How do we do this? Well, 12% is equal to 0.12. So we will multiply 0.12 by 750. This will give us 90. And there you have your answer.

<em>Alternatively</em>, you could add up the total amount of contestants from the three days. You should end up with 1000. Then add up the total amount of winners from the three days. You should get 120. Divide both of these by 4. The winners will now be 40, and the total contestants will be 250. Now multiply both by 3. The amount of contestants will be 750, and the amount of winners will be 90. This way is a bit easier, but does not always work. <u>Do what is best for you!</u>

Hope this helped!

7 0
3 years ago
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