Help ANYONE PLEASE I NEED HELP

(1.)Find the slope of the line that passes through the given pair of points. (If an answer is undefined, enter UNDEFINED.) (?a +

jekas [21]

Answer:

1. The slope of the line is $m=\frac{-2b+3}{2a}$ .

2. The value of a is 18.

Step-by-step explanation:

If a line passes through two points, then the slope of the line is

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

(1)

It is given that the line passes through the points (-a + 3, b - 3) and (a + 3, -b). So, the slope of the line is

$m=\frac{-b-(b-3)}{a+3-(-a+3)}$

$m=\frac{-b-b+3}{a+3+a-3)}$

$m=\frac{-2b+3}{2a}$

The slope of the line is $m=\frac{-2b+3}{2a}$ .

(2)

If the line passing through the points (a, 1) and (6, 5), then the slope of the line is

$m_1=\frac{5-1}{6-a}=\frac{4}{6-a}$

If the line passing through the points (2, 7) and (a + 2, 1), then the slope of the line is

$m_2=\frac{1-7}{a+2-2}=\frac{-6}{a}$

The slopes of two parallel lines are same.

$m_1=m_2$

$\frac{4}{6-a}=\frac{-6}{a}$

On cross multiplication we get

$4a=-6(6-a)$

$4a=-36+6a$

$4a-6a=-36$

$-2a=-36$

Divide both sides by -2.

$a=18$

Therefore the value of a is 18.

8 0

3 years ago

Boris has ridden 21 miles of a bike course. The course is 30 miles long. What percentage of the course has Boris ridden so far?

snow_lady [41]

Answer:

70%

Step-by-step explanation:

21/30 * 100 = 70%

3 0

2 years ago

A bird drops a stick to the ground from a height of 92 ft. The function

lidiya [134]

Answer:

B

Step-by-step explanation:

3 0

3 years ago

timothyis re-arranging his marbles collection. he has 5 identical blue marbles, five green and 3 black. he can fit excactly 5 ma

Lerok [7]

-- He must have at least one of each color in the case, so the first 3 of the 5 marbles in the case are blue-green-black.

Now the rest of the collection consists of

4 blue
4 green
      2 black

and there's space for 2 more marbles in the case.

So the question really asks: "In how many ways can 2 marbles
be selected from 4 blue ones, 4 green ones, and 2 black ones ?"

-- Well, there are 10 marbles all together.
So the first one chosen can be any one of the 10,
   and for each of those,
the second one can be any one of the remaining 9 .

Total number of ways to pick 2 out of the 10 = (10 x 9) = 90 ways.

-- BUT ... there are not nearly that many different combinations
to wind up with in the case.

The first of the two picks can be any one of the 3 colors,
   and for each of those,
the second pick can also be any one of the 3 colors.

So there are actually only 9 distinguishable ways (ways that
you can tell apart) to pick the last two marbles.

6 0

3 years ago

The table shows your test results for math class. What test score do you need on the last exam to earn 90% of the total points?

Nady [450]

Answer:

262.6/300% for the first 3 test if you were to add another test it would be 400% total and you need 360% of test grades to have an average of 90% and so 360 - 262.6 = 97.4%

Step-by-step explanation:

4 0

3 years ago