1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frutty [35]
3 years ago
8

A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-

value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

?:(
Mathematics
1 answer:
seropon [69]3 years ago
5 0

Answer:

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

Step-by-step explanation:

According to the statement, let A(x,y) = (14,21) and B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A}). The equation of the line in point-slope form is defined by the following formula:

y-y_{A} = m\cdot (x-x_{A}) (1)

Where:

x_{A}, y_{A} - Coordinates of the point A, dimensionless.

m - Slope, dimensionless.

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}} (2)

If we know that x_{A} = 14 and y_{A} = 21, then the equation of the line in point-slope form is:

x_{B} = 1.25\cdot (14)

x_{B} = 17.5

y_{B} = 0.75\cdot (21)

y_{B} = 15.75

From (2):

m = \frac{15.75-21}{17.5-14}

m = -\frac{3}{2}

By (1):

y-21 = - \frac{3}{2}\cdot (x-14)

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

You might be interested in
What is Mathematics?
storchak [24]

Answer:

Hey mate here's your answer.....

Step-by-step explanation:

Mathematics is a subject where you study more about numbers and daily life applications.

hope its helps you,

follow me....

8 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=solve%20%3A%20%20-%20%20%5C%5C%20%20%5C%5C%20%20%2810%20%7B%7D%5E%7B2%7D%20%20-%206%20%7B%7D%5
o-na [289]

\longrightarrow{\blue{64}} 

\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}

= (10 {}^{2} - 6 {}^{2} )

= [(10 \times 10) - (6 \times 6)]

= (10 0- 36)

= 64

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}

4 0
3 years ago
Read 2 more answers
Joan makes a base salary of $275 per week and a commission of 4% of sales over $1000. If she sells $1250 of merchandise this wee
Lerok [7]

Joan makes $275/week.

In addition to $275, she also makes 4 percent on sales over $1000.

So, 1250 - 1000 = 250.

Then 250(0.04) = 10.

Let t = amount of her paycheck for the week.

t = $275 + $10

t = $285

8 0
3 years ago
Charlotte is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. Line
Jobisdone [24]

Answer:

B

Step-by-step explanation:

Angle PRQ = 75°

Because they are alternate angles

7 0
3 years ago
A contractor is checking the height of the frame for a building his company is constructing. He stands at some distance from the
tatiyna

Answer:

  about 102 feet

Step-by-step explanation:

From the definition of the cotangent function, we can write ...

  h·cot(α1) = d1

  h·cot(α2) = d2

Where h is the building height and (α1, d1), (α2, d2) are (elevation angle, distance from the building) for the two cases.

We have d2 - d1 = 10 ft, so ...

  h(cot(68°) -cot(73°)) = 10 ft

  h = (10 ft)/(cot(68°) -cot(73°)) ≈ (10 ft)/(0.404026 -0.305731) ≈ 101.73 ft

The building is about 102 feet tall.

4 0
3 years ago
Other questions:
  • Help somebody plzzzzzzz
    11·1 answer
  • The stock of Company A lost $5.31 throughout the day and ended at a value of $112.69. By what percentage did the stock decline?
    6·1 answer
  • Genevieve loves 30% off wing night. She orders 12 wings that normally cost 1.25$ each. If the sales tax rate is 6.75%, how much
    11·1 answer
  • Which direction does the graph of the equation shown below open? right, left, up, or down? x^2+6x-4y+5=0
    8·1 answer
  • sean drank 2/3 of water on Monday before going jogging. he drank 3/7 liter of water after his jog. how much did sean drink all t
    7·2 answers
  • A music store is having a sale where you can buy 2 new-release CDs for $15. How much will 7 CDs cost? Use at least 2 ways to sho
    13·2 answers
  • Playland Park charges $25 admission plus $2 per ride. Funland Park charges $35 admission plus $1 per ride. For what number of ri
    7·1 answer
  • Sam built a circular fenced-in section for some of his animals .the section has a circumference of 55 meters .what is the approx
    15·1 answer
  • Please help me if you think you're hot beautiful skinny funny kind please help me
    5·1 answer
  • 3. Find BC<br><br> 6. find m&lt; A
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!