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3 years ago

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Two lines are parallel, but are not the same line. Which of the following is not true of the lines? A. The slopes are the same.

B. The lines have no points in common. C. The y-intercepts are not the same. D. The lines must have a positive slope. Please select the best answer from the choices provided A B C D

1 answer:

Ivanshal [37]3 years ago

8 0

Answer:

D

Step-by-step explanation:

Parallel lines must have the same slope. They <em>could</em> have points in common. If the y-intercepts were the same, taking into consideration the fact that the slopes have to be the same, it would be the same line and as the question directs, they are not. Parallel lines can have negative slope, as long as their slopes are equal.

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How many different 5-person subcommittees can be formed from a club having 12 members

Wittaler [7]

Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:

12x11x10x9x8 different combinations.

Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.

(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.

Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)

C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792

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2 years ago

Abraham has visited country somebody he has a cold or visiting at least 50 countries he plans to choose a school by visiting fiv

Ipatiy [6.2K]

<em>Question:</em>

<em>Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.</em>

Answer:

$Countries \geq 50 + 5y$

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Step-by-step explanation:

Given

$Countries = 50$ ------ at least

$Yearly =5$

Required

Represent as an inequality

"at least" means $\geq$

So the countries he has visited can be represented as thus;

$Countries \geq 50$

If

1 year = 5 countries

y years would be 5y countries

So, in y years; he'd have visited

$Countries \geq 50 + 5y$

To determine the value of y.

We have that

$Countries = 195$ <em>in the world</em>

<em>Substitute 195 for Countries</em>

$195 \geq 50 + 5y$

<em>Collect Like Terms</em>

$195 - 50 \geq 5y$

$145 \geq 5y$

<em>Divide through by 5</em>

$145/5 \geq y$

$29 \geq y$

<em>Reorder</em>

$y \leq 29$

This means that; he'll visit all countries in at most 29 years' time

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Dmitry_Shevchenko [17]

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Vladimir79 [104]

Answer:

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Step-by-step explanation:

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What is the equation of the line, in general form, that passes through the point (1,1) and has a y-intercept of 2.

guajiro [1.7K]

Answer:

<h2>x + y - 2 = 0</h2>

Step-by-step explanation:

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Put the given y-intercept b = 2 and the coordinates of the point (1, 1) to the equation:

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$y=-1x+2\to y=-x+2$

The general form of an equation of a line:

$Ax+By+C=0$

Convert:

$y=-x+2$ <em>add x to both sides</em>

$x+y=2$ <em>subtract 2 from both sides</em>

$x+y-2=0$

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