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
Basile [38]
2 years ago
7

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

Mathematics
1 answer:
ICE Princess25 [194]2 years ago
3 0

Answer:

Step-by-step explanation:

In order to write the equation of the line perpendicular to the given line, we first have to know what the slope of the given line is, and there's no way to tell by looking at it in its current form, which is standard. We need to solve that equation for y to determine the slope of that line. Solving for y:

-3y=-4x+5 and

3y = 4x - 5 (just change all the signs so our y term isn't negative anymore...yes, you're "allowed" to do that!) and

y=\frac{4}{3}x-\frac{5}{3} So we can see now that the slope of this line is 4/3. That means that the perpendicular slope is -3/4. Passing through the given point (3, 5):

y-5=-\frac{3}{4}(x-3)* and

y-5=-\frac{3}{4}x+\frac{9}{4} and

y=-\frac{3}{4}x+\frac{9}{4}+\frac{20}{4} so

y=-\frac{3}{4}x+\frac{29}{4}** and, in standard form:

4y = -3x + 29 and

3x + 4y = 29***

* : point-slope form

** : slope-intercept form

*** : standard form

You might be interested in
Please need help 20 points
german

tte corresponding angle is angle 5

3 0
2 years ago
Read 2 more answers
Help me plsssssssssssss
LUCKY_DIMON [66]

Answer:

The radius is 5 cm

Step-by-step explanation:

The formula for the area of a circle is :  \p*radius^2

To work out the length of the radius you would first need to divide the area of  78.5 cm by pi (pi=3.14), this gives you 25cm^2\\. This is because by dividing the area by pi we are isolating the value of the radius squared.

The final step is to work out the radius. You can do this by finding the square root of the radius squared which is 25, this gives you 5 cm. This means that the radius is 5 cm. This is because the square root is a number that when squared equals that number.

1) Divide 78.5 by pi.

78.5/\pi=25cm^2

2) Find the square root of 25 cm squared.

\sqrt{25} =5 cm

In this question pi is 3.14

6 0
3 years ago
An automobile assembly line runs for 9 3/4 hours each day. employees work 3/4 hours shift. how many shifts are there in each day
babunello [35]

Answer:

the mixed fraction 9 3/4 means there are 9 4/4 s and one 3/4all togather there are 39/4 divid this by 3/4 to find the no of shifts. 39/4 ÷(3/4)

=39/4. ×4/3=13

13shifts

4 0
2 years ago
What percentage of $15 is 75 cent​
Aleks04 [339]

Answer: What percentage is 15 out of 75?

20

Percentage Calculator: 15 is what percent of 75? = 20.

5 0
2 years ago
Read 2 more answers
Isabel is 11 years old. This is 3 years more than twice her brother's age. How old is Isabel's brother? Let b = Isabel's brother
Iteru [2.4K]
The answer would be 4 years old
3 0
3 years ago
Read 2 more answers
Other questions:
  • Is the y-coordinate of the vertex of f(x)=-x^2+6x+7, f(3)?
    13·1 answer
  • The FDA recommends that women who are pregnant avoid eating more than three 6.00 oz servings of bluefish per month because of th
    13·1 answer
  • Which of the following describes what happens when you change the a value in the equation shown below?
    9·2 answers
  • Two cars start from towns 630 mi apart and travel toward each other they meet after 6hr find the speed of each car one travels 2
    5·1 answer
  • What is the answer for 47
    10·1 answer
  • The cube of the difference of 1 and a number
    11·1 answer
  • I need help please?!!!!
    7·1 answer
  • 8)<br> 8x + 6<br> 14x - 2<br> A) 11<br> C) 8<br> B) -9<br> D) -7
    5·1 answer
  • And this one please.
    14·1 answer
  • Please help me answer the question in the image
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!