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3 years ago

Into how many regions do 35 parallel lines in a plane divide that planes.

Mathematics

2 answers:

liubo4ka [24]3 years ago

5 0

Your answer is 36 because You count the lines used and add one, which is your answer, 36

Murrr4er [49]3 years ago

4 0

I guess its A yes or no?

No because if 35 parallel lines in a plane and you can do 35÷_=_
And that all you need to fined

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Solve the system of linear equations: y= -2x - 4 y= 2x - 4

iren [92.7K]

Answer:

(0, -4)

Step-by-step explanation:

We can just substitute the y's like this: 2x - 4 = -2x - 4

Move like terms to one side by adding 2x to both sides

2x - 4 = -2x - 4

+ 2x + 2x

4x - 4 = - 4

Add 4 to both sides

4x - 4 = - 4

+ 4 + 4

4x = 0

Divide both sides by 4

4x/4 = 0/4

x = 0

Plug in the new x into one of the original equations

y = 2(0) - 4

y = 0 - 4

y = - 4

4 0

3 years ago

(04.02 MC) Triangle ABC has been rotated 90° to create triangle DEF. Write the equation, in slope-intercept form, of the side of

Aleks [24]

Answer:

$y =1 -x$

Step-by-step explanation:

Given

$A = (4,2)$

$B = (4,5)$

$C = (1,2)$

$D = (2,-4)$

$E = (5,-4)$

$F = (2,-1)$

Required

Determine the equation of line EF perpendicular to BC at intersect 0,1

The question has missing attachment but it can still be solved;

First, we need to determine the slope of BC using

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (4,5)$ Point B

$(x_2,y_2) = (1,2)$ Point C

Substitute these values in the above formula

$m_1 = \frac{2 - 5}{1 - 4}$

$m_1 = \frac{- 3}{- 3}$

$m_1 = 1$

Next is to determine the slope of EF;

Since, there are perpendicular: we have

$m_1 * m_2 = -1$

Substitute -1 for m1

$1 * m_2 = -1$

$m_2 = -1$

Next, is to determine the slope of EF at intersect (0,1).

The formula to use is:

$y - y_1 = m_2(x - x_1)$

In this case;

$(x_1,y_1) = (0,1)$

Substitute values for m2, x1 and y1

$y - 1 = -1(x - 0)$

$y - 1 = -1(x)$

Open the bracket

$y - 1 = -x$

Add 1 to both sides

$y - 1 +1 =1 -x$

$y =1 -x$

Hence;

The equation is $y =1 -x$

3 0

4 years ago

John bikes at a speed of 10 miles per hour. His friend Brian is slower, his biking speed is only 8 miles per hour. d Tomorrow bo

skad [1K]

Answer:

6 miles

Step-by-step explanation:

Given

John's speed = 10 mph
Brian's speed = 8 mph
Time 3 hours

Solution

The difference in distance covered:

3*(10 - 8) = 6 miles

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4 years ago

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bekas [8.4K]

Since we have a graph, we could see where '2' is on the x axis.

Since we see that 6 is where the functions value lies, that is the answer.

Answer: When x = 2, y = 6

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Scorpion4ik [409]

Probably a 50% chance ??

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