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3 years ago

Determine the slope of the line that passes through the points (-4, 6) and (0, 4).

Mathematics

1 answer:

slamgirl [31]3 years ago

5 0

The slope of the line that passes through those points is: B) -1/2

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Write the 5th term in the expansion of (5x-y/2)^7

Nezavi [6.7K]

Answer:

65625/4(x^5)(y²)

Step-by-step explanation:

Using binomial expansion

Formula: (n k) (a^k)(b ^(n-k))

Where (n k) represents n combination of k (nCk)

From the question k = 5 (i.e. 5th term)

n = 7 (power of expression)

a = 5x

b = -y/2

....................

Solving nCk

n = 7

k = 5

nCk = 7C5

= 7!/(5!2!) ------ Expand Expression

=7 * 6 * 5! /(5! * 2*1)

= 7*6/2

= 21 ------

.........................

Solving (a^k) (b^(n-k))

a = 5x

b = -y/2

k = 5

n = 7

Substituting these values in the expression

(5x)^5 * (-y/2)^(7-5)

= (3125x^5) * (-y/2)²

= 3125x^5 * y²/4

= (3125x^5)(y²)/4

------------------------------------

Multiplying the two expression above

21 * (3125x^5)(y²)/4

= 65625/4(x^5)(y²)

5 0

3 years ago

What are the plotting points?

dusya [7]

Answer: plot points (0,-2) (1.-5) (2.-8) (-1.1) (-2.1) makes a upside down V

-3|0+2|+4=-2

-3|1 +2|+4= -5

-3|2+2|+4= -8

-3|-1+2|+4=1

+3|-2+2|+4=1

Step-by-step explanation:

8 0

2 years ago

I WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER

nikitadnepr [17]

Answer:

5.7 m/s

Step-by-step explanation:

<u>Approximate rate of change:</u>

(25.1 - 2.3)/(4 - 0) =
22.8/4 =
5.7 m/s

5 0

2 years ago

A student wants to check six websites. Four of the websites are social and two are school-related. After checking just two sites

mash [69]

The approximate probability that she checked a social website first, then a school-related website is 0.267.

First step is to calculate the Total number of websites

Total number of websites=Number of school websites+Number of social websites

Total number of websites=2+4

Total number of websites=6

Second step

Probability of checking the social website first

Probability of checking social website=Number of social websites/Total number of websites

Probability of checking social website= 4/6

Third step

Since one social website is checked which means that she is left with 3 social website and 2 school websites

Total number websites=2+3

Total number websites=5

Forth step

Probability of checking social website=Number of school websites/Total number websites

Probability of checking social website=2/5

Fifth step

Probability= 4/6 x 2/5 = 0.2666

Probability=0.267(Approximately)

Inconclusion the approximate probability that she checked a social website first, then a school-related website is 0.267.

Learn more about probability here:brainly.com/question/25688842

6 0

3 years ago

Sharon suspects that her brother's penny is unfair. She flips it 50 times and heads comes up 40 times. Based on these trials, th

cricket20 [7]

The correct answer is B. 4/5. Hope this helps! : )

6 0

3 years ago

Read 2 more answers