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3 years ago

Find the slope given these two points. (-1, 4) and (4, -3)

Mathematics

1 answer:

Paraphin [41]3 years ago

3 0

Answer:

-7/5

Step-by-step explanation:

Since we have 2 points, we can find the slope using

m = ( y2-y1)/(x2-x1)

= ( -3 -4)/( 4 - -1)

( -3-4) /( 4+1)

-7/5

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A bag contains red marbles, white marbles, and blue marbles. Randomly choose two marbles, one at a time, and without replacement

dsp73

Answer:

$P(First\ White\ and\ Second\ Blue) = \frac{3}{28}$

$P(Same) = \frac{67}{210}$

Step-by-step explanation:

Given (Omitted from the question)

$Red = 7$

$White = 9$

$Blue = 5$

Solving (a): $P(First\ White\ and\ Second\ Blue)$

This is calculated using:

$P(First\ White\ and\ Second\ Blue) = P(White) * P(Blue)$

$P(First\ White\ and\ Second\ Blue) = \frac{n(White)}{Total} * \frac{n(Blue)}{Total - 1}$

<em>We used Total - 1 because it is a probability without replacement</em>

So, we have:

$P(First\ White\ and\ Second\ Blue) = \frac{9}{21} * \frac{5}{21 - 1}$

$P(First\ White\ and\ Second\ Blue) = \frac{9}{21} * \frac{5}{20}$

$P(First\ White\ and\ Second\ Blue) = \frac{9*5}{21*20}$

$P(First\ White\ and\ Second\ Blue) = \frac{45}{420}$

$P(First\ White\ and\ Second\ Blue) = \frac{3}{28}$

Solving (b) $P(Same)$

This is calculated as:

$P(Same) = P(First\ Blue\ and Second\ Blue)\$ $or\ P(First\ Red\ and Second\ Red)\ or\ P(First\ White\ and Second\ White)$

$P(Same) = (\frac{n(Blue)}{Total} * \frac{n(Blue)-1}{Total-1})+(\frac{n(Red)}{Total} * \frac{n(Red)-1}{Total-1})+(\frac{n(White)}{Total} * \frac{n(White)-1}{Total-1})$

$P(Same) = (\frac{5}{21} * \frac{4}{20})+(\frac{7}{21} * \frac{6}{20})+(\frac{9}{21} * \frac{8}{20})$

$P(Same) = \frac{20}{420}+\frac{42}{420} +\frac{72}{420}$

$P(Same) = \frac{20+42+72}{420}$

$P(Same) = \frac{134}{420}$

$P(Same) = \frac{67}{210}$

6 0

3 years ago

Which will result in a difference of squares?

Solnce55 [7]

Answer:

Option C) is correct

That is the result should be in a difference of squares is

$(-7x+4)(-7x-4)=(7x)^2-4^2$

Step-by-step explanation:

To find the result in the form of differences in squares

Given that the expression is (-7x+4)(-7x-4)

$(-7x+4)(-7x-4)=(-7x)^2-4^2$ ( by using the identity $(a+b)(a-b)=a^2-b^2$ )

Here a=-7x and b=4

$=(7x)^2-4^2$

Therefore $(-7x+4)(-7x-4)=(7x)^2-4^2$ which results as a difference of squares.

Therefore Option C) is correct

That is the result should be in a difference of squares is

$(-7x+4)(-7x-4)=(7x)^2-4^2$

7 0

3 years ago

Kkhfjrjdjcvhrjrndjcvjvjcjdjdjejdnjf

Gwar [14]

Answer:

kkjyhtgrfgbhngbfefvrbgvn gbfevgb nbf

Step-by-step explanation:

8 0

3 years ago

Maddy mows acres in 2 hours how many acres does maddy mw per hour

photoshop1234 [79]

She mows 1/2 an acre per hour

8 0

4 years ago

Help which graph describes exponential decay

DIA [1.3K]

Answer:

Graph 2.

Step-by-step explanation:

The graph is decreasing.

Hope this helps!

If not, I am sorry.

6 0

3 years ago