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alexdok [17]
3 years ago
6

Which two lines are parallel?

Mathematics
1 answer:
Masteriza [31]3 years ago
6 0

Answer:

  • 3x + y = -2
  • 2y = -6x – 8

Step-by-step explanation:

When the equations are written in the same form, the ratio of x coefficient to y coefficient is the same for parallel lines.

These equations in the same form are ...

  • 3x +y = -2
  • -6x +2y = 4
  • 6x +2y = -8

The first and last of these equations have a ratio of x-coefficient to y-coefficient of ...

  (x-coefficient)/(y-coefficient) = 3/1 = 6/2

so the lines are parallel.

The second equation has a ratio that is the opposite of this.

__

<em>Alternate approach</em>

You can put each equation into slope-intercept form (solve for y). The x-coefficient is then the slope of the line. Parallel lines** have equal slopes.

  • y = -3x -2 **
  • y = 3x +2
  • y = -3x -4 **

_____

I find a graphing calculator to be a big help for many problems involving equations and their characteristics.

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What is the volume of the cylinder? Round your answer to the nearest whole number??
andreyandreev [35.5K]

Answer:

141

Step-by-step explanation:

1. The volume of a cylinder is \pi r^2h, where r = radius and h = height. In this case, the height is 5 feet and the radius is 3 feet.

Solving Volume

Step 1: Plug in values

  • \pi * 3^2 * 5

Step 2: Simplify.

  • 3.14 * 9 * 5
  • 28.26 * 5
  • 141.3
  • 141.3 ≈ 141

Therefore, the volume of the cylinder is 141 ft^3 (but don't put ft^3, as mentioned in the problem).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

7 0
2 years ago
1/4 Divided by 16 3/4 (Detailed, worked out answer please)
scZoUnD [109]
14 would probably be the answer idk
8 0
3 years ago
Read 2 more answers
PLEASE HELP!
leva [86]

Answer:

B. 56°

Step-by-step explanation:

We are given that m∠R is 66° and m∠T is 122°.

We can apply the supplementary rule since ∠S and ∠T are a linear pair. So, we can use ∠T to find ∠S through 180° - 122° = 58°.

Now, we can use ∠R and ∠S to find ∠Q.

66° + 58° = 124°

180° - 124° = 56°

8 0
3 years ago
In Game 1, Emerson struck out 30 times in 90 times at bat. In Game 2, he struck out 40 times in 120 times at bat. In Game 3, Eme
VikaD [51]

Answer:

<u>Total number of strikeouts:</u>

  • 30 + 40 + 42 = 112

<u>Total number of at bats:</u>

  • 90 + 120 + 140 = 350

<u>Hits = times - strikeouts:</u>

  • 350 - 112 = 238

<u>Percentage:</u>

  • 238/352*100% = 67.61%

7 0
3 years ago
Please help!! <br><br>is it 16?​
sweet-ann [11.9K]

Answer:

area of trapezium: -

formula...

½(sum of parallel sides)×height=area

=>240=½(12+x)×12

=>240=(12+x)×6

=>240=60+6x

=>6x=240-60

=>6x=180

=>x=180/6

=>x=30cm

therefore, the value of x is 30 cm.

Step-by-step explanation:

hope it helps u

6 0
2 years ago
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