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3 years ago

What is the slope of the line passing through the points (1, 2) and (5, 4) ?

1 answer:

amm18123 years ago

8 0

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad(\stackrel{x_2}{5}~,~\stackrel{y_2}{4})\\\\\\ slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-2}{5-1}\implies \cfrac{2}{4}\implies \cfrac{1}{2}$

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The sum of five consecutive integers is 55. Find the integers.

liubo4ka [24]

Answer:

9, 10, 11, 12, 13

Step-by-step explanation:

(x-2)+(x-1)+x+(x+1)+(x+2) = 55

5x = 55

x = 11

8 0

3 years ago

denis-greek [22]

Answer:

Part a) $AB=15\ cm$

Part b) $AB=11.1\ cm$

Part c) $AB=3/5\ cm$

Part d) $AB=3s\ cm$

Step-by-step explanation:

see the attached figure to better understand the question

we know that

To find the length of the image after a dilation, multiply the length of the pre-image by the scale factor

Part a) we have

The scale factor is 5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(5)=15\ cm$

Part b) we have

The scale factor is 3.7

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(3.7)=11.1\ cm$

Part c) we have

The scale factor is 1/5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(1/5)=3/5\ cm$

Part d) we have

The scale factor is s

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(s)=3s\ cm$

7 0

4 years ago

Natalie works in a department store selling clothing. She makes a guaranteed salary of $300 per week but is paid a commission on

Luba_88 [7]

Answer: Natalie make $ 367.5 in a week in which she made $225 in sales .

Natalie make $ ( 300+x ) in a week in which she made $ x in sales .

Step-by-step explanation:

Base Salary of Natalie = $300

Also, she gets 30% of the her total sales for the week.

If total sales in a week = $225

commission = 30% of $225

= $ ( 0.30 × 225)

= $ 67.5

Natalie got = Base Salary + Commission

= $300 + $ 67.5

= $ 367.5

∴ Natalie make $ 367.5 in a week in which she made $225 in sales .

If total sales in a week = $x

commission = 30% of $x

= $ ( 0.30 × x)

= $ 0.30 x

Natalie got = Base Salary + Commission

= $ ( 300+x )

∴ Natalie make $ ( 300+x ) in a week in which she made $ x in sales .

7 0

3 years ago

the band knows 45. song. it play 12 songs in the first set, 15 song in the second set, and 11 songs in the last set. if no songs

Dennis_Churaev [7]

Answer:

7 songs

Step-by-step explanation:

12+15+11 is 38

45-38 is 7.

4 0

3 years ago

Read 2 more answers

Evaluate the expression for x= 9 <br> 5x + 3

Vesna [10]

48

(5)(9) + 3
45 + 3

Hope this helps!!!!

6 0

3 years ago

Read 2 more answers