All categories

3 years ago

Lines sand tare perpendicular. If the slope of line sis 5, what is the slope of line t?

Mathematics

1 answer:

Sveta_85 [38]3 years ago

6 0

Answer:

-1/5

Step-by-step explanation:

Perpendicular lines have slopes that are the opposite reciprocal of one another.

The slope of line t is the opposite reciprocal of the slope of line s:

slope of t = -1/(slope of s)

slope of t = -1/5

You might be interested in

PLEASE HELP ME!!!! I NEED THIS QUICKLY!!

zloy xaker [14]

Part A: $y=-\frac{5}{4} x+\frac{35}{2}$ is the equation of the line.

Part B: Anika worked 17.5 hours on day 0.

Part C: The setup time decreases with 1 hour and 15 min per day.

Explanation:

Part A: Let us find the equation of the line using the points (2,15) and (6,10)

The equation of the line is given by,

$y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \cdot\left(x-x_{1}\right)$

Substituting, we get,

$y-15=\frac{10-15}{6-2} (x-2)$

Simplifying, we have,

$y-15=-\frac{5}{4} (x-2)$

$y-15=-\frac{5}{4} x+\frac{5}{2}$

Subtracting both sides by 15, we get,

$y=-\frac{5}{4} x+\frac{35}{2}$

Hence, the equation of the line is $y=-\frac{5}{4} x+\frac{35}{2}$

Part B: To determine the number of hours Anika worked on day 0, let us substitute x = 0 in the equation of the line.

Thus, we get,

$y=\frac{35}{2}\\y=17.5$

Hence, Anika worked 17.5 hours on day 0.

Part C: The setup time decrease per day can be determined using the slope.

The formula for slope is given by

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting , we have,

$m=\frac{10-15}{6-2}=-\frac{5}{4}$

Converting the fraction into hours and minutes, we get,

$-\frac{5}{4}\times60=-75 min$

Since, 1 hour = 60 min

Subtracting 60 and 75 = 15 min

Thus, the setup time decreases with 1 hour and 15 min per day.

6 0

3 years ago

The cost of a gallon of gas increased from $3.54 to $3.87 over the weekend. What is the percent increase for the cost of gas, ro

Dmitrij [34]

Answer:

Step-by-step explanation:

percent increase is calculated as

$\frac{increase}{original}$ × 100%

increase = $3.87 - $3.54 = $0.33 , then

% increase = $\frac{0.33}{3.54}$ × 100% ≈ 9% ( to the nearest whole percent )

5 0

1 year ago

Read 2 more answers

The expression sin(x)(cos(x)cot(x)-sin(x)) simplifies to

AysviL [449]

Sin, cos, and tan are fairly difficult questions to answer because if you know what soh, cah, toa is, then 14 million numbers could not even express the amount of stupidity that you possess by asking such a foolish question, young man.

7 0

3 years ago

Read 2 more answers

chef leo will use a total of 6 1/4 cups of sugar to make 3 chocolate cakes. if each cake recipe requires the same amount of suga

Feliz [49]

a. because to divide 6 1/4 and 3 you need to make the improper fraction a mixed number so the equation is 25/4 / 3/1 then you get the recipricol of 3 witch is 1/3 then you multiply 1/3 x 25/4 whitch is 25/12=2 1/12

7 0

3 years ago

The square root of 27 lies between which two whole numbers

Agata [3.3K]

Answer:

5 and 6

Step-by-step explanation:

The square root of 27 is 5.19615242271 , which is more than 5 but less then 6, therefore is between 5 and 6.

<em />

<em>Hope this helped (: Can you please mark as brainliest?</em>

7 0

3 years ago