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3 years ago

The slope of the line below is - Write a point-slope equation of the line

Mathematics

1 answer:

Mumz [18]3 years ago

4 0

Answer:

$y +9 = -4(x - 4)$

Step-by-step explanation:

Given

$m = -4$ --- slope

$(x_1,y_1) = (4,-9)$ --- point

See attachment for complete question

Required

Determine the line equation

This is calculated as follows:

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

Substitute values for m, x1 and y1

$y - (-9) = -4(x - 4)$

Simplify the expression on the left-hand side:

$y +9 = -4(x - 4)$

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2m + 7m + 3m = 72 whats the answer step by step

Korolek [52]

Answer:

m = 6

Step-by-step explanation:

First, add like terms:

2m + 7m + 3m = 72

12m = 72

Divide each side by 12:

m = 6

So, the answer is m = 6

5 0

3 years ago

Read 2 more answers

What is the sum of the sequence 152,138,124, ... if there are 24 terms?

N76 [4]

Answer: -216

Step-by-step explanation:

To solve the exercise you must use the formula shown below:

$Sn=\frac{(a_1+a_n)n}{2}$

Where:

$a_1=152\\a_n=a_{24}$

You should find $a_{24}$

The formula to find it is:

$a_n=a_1+(n-1)d$

Where d is the difference between two consecutive terms.

$d=138-152=-14$

Then:

$a_{24}=152+(24-1)(14)=-170$

Substitute it into the first formula. Therefore, you obtain:

$S_{24}=\frac{(152-170)(24)}{2}=-216$

3 0

4 years ago

Read 2 more answers

2x+8y=34 10y+2x=40 solve for y and x

KiRa [710]

Answer:

Step-by-step explanation:

6 0

3 years ago

Find the measure of the angles(S) Please help

kolbaska11 [484]

Answer:

10°

Step-by-step explanation:

the sum of interior angles of triangle is 180°

so. 8x+x+90°=180°

9x=90°

x=10°

4 0

3 years ago

In order to conduct an experiment five subjects are randomly selected from a group of 48 subjects how many different groups of f

exis [7]

Answer:

1,712,304 ways

Step-by-step explanation:

This problem bothers on combination

Since we are to select 5 subjects from a pool of 48 subjects, the number of ways this can be done is expressed as;

48C5 = 48!/(48-5)!5!

48C5 = 48!/43!5!

48C5 = 48×47×46×45×44×43!/43!5!

48C5 = 48×47×46×45×44/5!

48C5 = 205,476,480/120

48C5 = 1,712,304

Hence this can be done in 1,712,304ways

3 0

3 years ago