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adoni [48]
3 years ago
13

Find the equation of the line that is parallel to the line x+3y=-15 that passes through the origin

Mathematics
1 answer:
Monica [59]3 years ago
5 0
You would subtract x from each side. It would then be 3y=-x-15. Then you would divide all of the equation by 3. Your final answer would be y=-3x-5.
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What features of the graph of the equation y-y1=m (x-x1) can you identify?
Ahat [919]
That is point slope form

y-y1=m(x-x1)

passes through the point (x1,y1) and has  a slope that is m
7 0
3 years ago
An employment agency specializing in temporary construction help pays heavy equipment operators $138 per day and general laborer
prisoha [69]

Answer:

L = 2,

O = 31

Step-by-step explanation:

First using the givens, write out some formulas.

Heavy equipment operators = O

General laborers = L

  • O + L = 33
  • 138O + 87L = 4044

Now use substitution, it doesn't matter which one you substitute.

  • O = -L +33
  • 138( -L + 33 ) + 87L = 4044

Distribute and solve for L.

  • -138L + 4554 + 87L = 4044
  • -138L - 87L = 4044 - 4554
  • -225L = -510
  • L = -510/-225
  • L = 2

L = 2, meaning number of laborers employed is 2.

Now plug 2 = L into one of the original equations.

  • O + L = 33
  • O + 2 = 33
  • O = 33 - 2
  • O = 31

O = 31, meaning number of heavy equip. operators employed is 31.

4 0
3 years ago
Which triangle is similar to AJKL?<br> Ο ΔJKM<br> Ο ΔΜΚL<br> Ο ΔKML<br> O ALJK
adelina 88 [10]

Answer: ALJK

Step-by-step explanation:

6 0
3 years ago
Cunato es 2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2++2+2
mixas84 [53]

Answer:

54

Step-by-step explanation:

There's 27 2's, so 27 * 2 = 54. Note that multiplication exists for a reason: to avoid expression's where there's an absurd number of +'s.

4 0
3 years ago
Read 2 more answers
Olivia has enter a buffet line in which he chooses one kind of meat two kinds of vegatables and one dessert if the order of the
masya89 [10]

Using the Fundamental Counting Theorem, it is found that she can choose 180 different meals.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

In this problem:

  • For the meat, there are 3 outcomes, hence n_1 = 3.
  • For the two vegetables, 2 are taken from a set of 6, hence, applying the combination formula, n_2 = C_{6,2} = \frac{6!}{2!4!} = 15.
  • For the dessert, there are 4 outcomes, hence n_3 = 4.

Then:

N = n_1n_2n_3 = 3(15)(4) = 180

She can choose 180 different meals.

To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866

4 0
3 years ago
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