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Trava [24]
3 years ago
13

Find an equation of the line L that passes through the point (2,-12) and satisfies the given condition.

Mathematics
1 answer:
mote1985 [20]3 years ago
7 0

Answer:

y = 1/4 x - 12.5

Step-by-step explanation:

8x + 2y = -8 (rewrite in y = mx + b form)

2y = -8x -8 (divide both sides by 2)

y = -4x -2 for first line

Perpendicular line L has "opposite/inverse" slope

y = -4x + b becomes y = 1/4 x + b

What's b (the y-intercept)?

Plug the point (2, -12) into the equation y = 1/4 x  + b to solve for b

-12 = 1/4 (2) + b

-12 = 1/2 + b (subtract 1/2 from both sides)

-12.5 =b (rewrite equation)

y = 1/4 x - 12.5

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What's the difference between Area and Volume? Explain
ludmilkaskok [199]

Answer:

An area is length times the width.

A volume is length x width x height

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Mole Conversion:<br> What is the mass of 3.13 x 1023 molecules of carbon dioxide?
4vir4ik [10]

Answer:

The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.

Step-by-step explanation:

Avogadro's Number or Avogadro's Constant is the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023*10²³ particles per mole and it applies to any substance.

Then you can apply the following rule of three: if 6.023*10²³ molecules are present in 1 mole, 3.13*10²³ molecules are present in how many moles?

moles=\frac{3.13*10^{23}molecules*1 mole }{6.023*10^{23}molecules}

moles= 0.52

Since the molar mass of carbon dioxide is 44 g / mole, then the following rule of three can be applied: if there are 44 g in 1 mole, how much mass is there in 0.52 moles?

mass=\frac{0.52 moles*44 g}{1 mole}

mass= 22.88 g

<u><em>The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.</em></u>

8 0
2 years ago
(x+2) is one of the factors of the polynomial x³+13x²+32x+20. Find its remaining factors.
Liula [17]

Answer:

x^2+11x+10

or

(x+1)(x+10) since you can factor x^2+11x+10

Step-by-step explanation:

Let's do synthetic division.

We are dividing by x+2, so -2 will be on the outside. Like this:

-2 |         1          13          32         20

   |                     -2        -22         -20

   |___________________________

             1          11           10            0

The remainder is 0, so (x+2) is indeed a factor of x^3+13x^2+32x+20.

The other factor we found by doing this is (x^2+11x+10).

You can find more factors by factoring x^2+11x+10.

Two numbers that multiply to be 10 and add to be 11 is 10 and 1 so the factored form of x^2+11x+10 is (x+10)(x+1).

6 0
3 years ago
Find the volume of the cylinder. round to the nearest tenth.
vaieri [72.5K]

Answer:

3217.00

Step-by-step explanation:

V=πr^2h=π·8^2·16≈3216.99088

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3 years ago
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FIND: Good old y-intercept!
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Answer: easy, to find the y- intercept you have to take a set of points and put it into slope form

Step-by-step explanation:


4 0
4 years ago
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