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
Studentka2010 [4]
3 years ago
11

Write an equation of the line containing the point (3,1) and perpendicular to the line 4x−3y=5.

Mathematics
1 answer:
almond37 [142]3 years ago
5 0
The given line is 4x - 3y = 5.
Write the equation in standard form.
3y + 5 = 4x
3y = 4x - 5
y= \frac{4}{3}x- \frac{5}{3}
This is a straight line with slope = 4/3, and with y-intercept = - 5/3.

A perpendicular line should have a slope of -3/4, because the product of the slopes of two perpendicular lines is -1.
Let the perpendicular line be
y=- \frac{3}{4}x+b
Because the line passes through the point (3,1), therefore
- \frac{3}{4}(3)+b=1 \\\\ - \frac{9}{4}+b=1 \\\\ b=1+ \frac{9}{4}= \frac{13}{4}
The equation of the perpendicular line is
y=- \frac{3}{4}x+ \frac{13}{4}

The equation may also be written as
4y + 3x = 13.
A graph of the two lines is shown below.

Answer:
y=- \frac{3}{4}x+ \frac{13}{4} \,\, or \,\, 4y+3x=13

You might be interested in
The top of a circular vanilla cake with a diameter of 10 inches was covered with frosting. The Martinez family ate half of the c
g100num [7]

Answer:

(22÷7)×5×5=initial area

remaining area= 1/2(initial area)

=(11×25)÷7=39.28 square inches

3 0
3 years ago
find an equation for the perpendicular bisector of the line segment whose endpoints are (-8,-5) and (-4,1)
lbvjy [14]

Answer:

y = -x - 8

Step-by-step explanation:

Midpoint of the line:

x = (x1 + x2)/2 = (-8 + -4)/2 = -12/2 = -6

y = (y1 + y2)/2 = (-5 + 1)/2 = -4/2 = -2

so midpoint is (-6,-2)

Slope of the line: Slope m = (y2-y1)/(x2-x1)

m = (-1 - -5)/(-4 - -8) = (-1 + 5)/(-4 + 8) = 4/4 = 1

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of the perpendicular line is -1/1 is -1

y = mx + b

y = -x + b

Using (-6,-2)

-2 = -(-6) + b

-2 = 6 + b

b = -8

so y = -x - 8

6 0
3 years ago
Read 2 more answers
The volume of an oblique pyramid with a square base is V units3 and the height is h units. Which expression represents the area
givi [52]

Answer:

Area of the base of the pyramid = V/h

Step-by-step explanation:

Mathematically, we know that the volume of the pyramid can be calculated by multiplying the area of the base by the height of the pyramid

Now using the variables in the question;

V = area of base * height of pyramid

Area of base = V/height of pyramid

Area of base = V/h

3 1
3 years ago
Need help with simplifying expressions
Ilia_Sergeevich [38]

Answer:

A) -20

Step-by-step explanation:

distribute the 4y and the -4 to the parentheses

16y^2 -16y+16y-20-16y^2

combine like terms

16y^2-16y^2=0

-16y+16y=0

-20

Mark brainliest??

3 0
3 years ago
Read 2 more answers
Andresssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Leviafan [203]

Answer:

Anderess?

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • 2/3 x + 1/2 equals 3/4 + 5/3 ​
    6·1 answer
  • 30 is what percent of 80?
    11·2 answers
  • Consider the BVP
    10·1 answer
  • County Wexford in Ireland is 10 feet below sea level Dublin Ireland’s capital is 289 feet higher than this
    7·1 answer
  • I NEED HELP WITH THIS ASAP !!!<br> FOR BRAINLIEST
    9·1 answer
  • There are 25 desks in Mr. Miller’s class. There are 36 desks in Mrs. Fernandez’s class. The desks in each classroom are arranged
    15·1 answer
  • Rational or irrational
    15·2 answers
  • Find mP.<br><br> A. 27°<br> B. 31°<br> C. 59°<br> D. 86°
    12·1 answer
  • An exterminator estimates that the house has approximately 64,000 ants. After treating the house with repellent the ant populati
    6·1 answer
  • A triangle has side lengths 1.5 inches, 2 inches,
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!