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ziro4ka [17]
2 years ago
6

Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or

neither.
1/7x + y = 9; y = -7x
y = 3x - 3; 12x - 4y = 12
7y = 2x + 1; 14x + 4y = 12
x - 4y = 18; y = x + 4
3x - 4y = -1; 3y = -4x + 5
Parallel Perpendicular Neither​
Mathematics
1 answer:
ANTONII [103]2 years ago
7 0

Answer:

Step-by-step explanation:

<em>(1).</em> \frac{1}{7} x + y = 9 and y = - 7x <em>( Neither )</em> ; lines intersect.

<em>(2).</em> y = 3x - 3; 12x - 4y = 12 <em>( Neither ) </em>; Lines are overlapped or both equation are of the same line.

<em>(3).</em> 7y = 2x + 1; 14x + 4y = 12 <em>( Perpendicular )</em> ; m_{1} = \frac{2}{7} and m_{2} = - \frac{7}{2} , slopes are opposite reciprocals.

<em>(4).</em> x - 4y = 18; y = x + 4 <em>( Neither )</em> ; lines intersect.

<em>(5).</em> 3x - 4y = - 1; 3y = - 4x + 5 <em>( Perpendicular )</em> ; m_{1} = \frac{3}{4} and m_{2} = - \frac{4}{3} , slopes are opposite reciprocals.

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What is the answer to 7(1 + 4k)
Sophie [7]
How to solve it:
•1. multiply 7 x 1= 7
•2. multiply 7 x 4k= 28k

so the answer is: 7+28k

i hope i have been helpful :)
8 0
3 years ago
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A mechanical system has 3 subsystems in series, each has reliabilities 98%, 96% and 94%, respectively. What is the overall relia
Ede4ka [16]

Answer:

The overall reliability of the system is 99.9952%

Step-by-step explanation:

Probability of the system not working:

None working, the first with 2% probability of not working(as it has 98% probability of working), the second with 4% and the third with 6%. So

0.02*0.04*0.06 = 0.000048

Probability of the system working:

1 subtracted by the probability of the systme not working.

1 - 0.000048 = 0.999952

0.999952*100% = 99.9952%

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4 0
3 years ago
At a farm, the average number of chickens, ducks, rabbits and sheep is 315 per type of animal. The average number of chickens, d
Greeley [361]

The average number of chickens, ducks, rabbits and sheep = 315 per type of animal.

The average number of chickens, ducks and rabbits = 320 per type of animal.

The number of sheep is 60 more than the number of rabbits.

Let us assume number of rabbits = x.

Number of sheep is 60 more than number of rabbits, that is = x+60.

There are half as many ducks as there are rabbits.

Therefore, number of ducks = x/2.

Let us assume number of chickens = y.

Adding  number of chickens, number of rabbits, number of sheep and number of ducks and dividing by 4 (because those are four types of animal).

\frac{y+x+x+60+x/2}{4}  = 315

Multiplying both sides by 4, we get

y+x+x+60+x/2 = 1260

Subtracting 60 from both sides

y+x+x+60-60+x/2 = 1260-60

y+x+x+x/2 = 1200.

Combining like terms .

y + 5x/2 = 1200

Multiplying both sides by 2, we get

<em>2y +5x = 2400  ------------equation (1)</em>

Adding  number of chickens, number of rabbits and number of ducks and dividing by 3 (because those are three types of animal).

\frac{y+x+60+x/2}{3}  = 320

Multiplying both sides by 3, we get

y+x+60+x/2 = 960

Subtracting 60 from both sides

y+ x+x/2 = 900

Combining like terms .

y+ 3x/2 = 900

Multiplying both sides by 2, we get

<em>2y+3x = 1800 --------------------equation (2)</em>

Multiplying first equation by 3 and second equation by -5, we get

(2y +5x = 2400 ) * 3   => 6y +15x = 7200

(2y+3x = 1800) *-5      =>

Adding

6y +15x = 7200

-10x + -15x = -9000.

_________________

-4y = -1800.

Dividing both sides by -4, we get

y=450.

<h3>Therefore, number of chickens are  450 there at the farm.</h3>


7 0
3 years ago
Hello can I have some help with this expand question 4(z+2)+4(z+3)
wel

Step-by-step explanation:

4(z+2)+4(z+3)

=4z+8+4z+12

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by simplifying-

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4 0
3 years ago
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mars1129 [50]

Answer:

Option A 95\ ft

Step-by-step explanation:

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4 0
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