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Sindrei [870]
3 years ago
15

Solve the system by substitution. --y = 2 3x + 5y = 20

Mathematics
1 answer:
RSB [31]3 years ago
4 0

Answer:

(10, -2)

Step-by-step explanation:

first solve for y then substitute into the second equation then solve for x and there.

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FIND (-8/3)+(-1/4)+(-11/6)+3/8-3
emmainna [20.7K]

Answer:

-7 3/8

Step-by-step explanation:

The least common denominator of 3, 4, 6, and 8 is 24; converting all of our fractions to that denominator and solving, we have

-\frac{8}{3}+\left(-\frac{1}{4}\right)+\left(-\frac{11}{6}\right)+\frac{3}{8}-3\\=-\frac{64}{24}+\left(-\frac{6}{24}\right)+\left(-\frac{44}{24}\right)+\frac{9}{24}-3\\\\=\frac{-64+(-6)+(-44)+9}{24} -3\\\\=\frac{-70+(-44)+9}{24} -3\\\\=\frac{-114+9}{24} -3\\\\=\frac{-105}{24}-3 \\\\=\frac{-35}{8}-3\\ \\=-4\frac{3}{8}-3\\\\=-7\frac{3}{8}

So our solution is -7 3/8

8 0
3 years ago
6. If you draw 35 lines on a piece of paper so that no two lines are parallel to each
umka2103 [35]

The point of intersection is the point where lines intersect.

<em>There will be 595 intersections for 35 lines, where no 3 lines are concurrent.</em>

<em />

Given

<em />n = 35<em> --- the number of lines</em>

<em />d = 3<em> --- no three lines are concurrent</em>

<em />

When no three line are concurrent, it means that no three lines meet at the same point.

<u>So, the sequence of intersection is:</u>

  • <em>0 intersection for 1 line</em>
  • <em>1 intersection for 2 lines</em>
  • <em>3 intersections for 3 lines</em>
  • <em>6 intersections for 4 lines</em>

<em />

Following the above sequence, the number of intersections for n lines is:

n_k = \frac{n \times (n - 1)}{2}

In this case, n = 35.

So, we have:

n_k = \frac{35 \times (35 - 1)}{2}

n_k = \frac{35 \times 34}{2}

n_k = 35 \times 17

n_k = 595

<em>Hence, there will be 595 intersections for 35 lines, where no 3 lines are concurrent.</em>

<em />

Read more about lines of intersections at:

brainly.com/question/22368617

7 0
3 years ago
Read 2 more answers
Please help me i don't understand what my answer should be . i'll give brianliest jus please help
AnnyKZ [126]

Answer:

Step-by-step explanation:

1. ABE bc the both have a right angle. plus when added together, they make a square which means they are the same.

2. id remember how to do the second one i am so sorry

6 0
3 years ago
Read 2 more answers
  Simplify............
Kay [80]

=  \frac{6x + 8}{4x + 4}  \div  \frac{4x + 4}{4x + 4}   \\  =  \frac{2x + 4}{1}  \\  = 2x + 4
Hope this helped!!
3 0
4 years ago
Read 2 more answers
Can someone help me with this question? I seem to be getting a negative answer every time :(
NeX [460]

Substitute 4 for y. Then -3x^2 + 16 = 52.

Solve for x. Subtract 16 from both sides, obtaining -3x^2 = 36.

Divide both sides by -3, obtaining x^2 = -12. This last result makes no sense, as no square of a real number could be negative. Probably this is where you're ":getting a negative answer."

If imaginary answers were allowed, then x = i*√12 = i*2√3 or x = -i*2√3.


x =

8 0
4 years ago
Read 2 more answers
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