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
Anettt [7]
3 years ago
6

P (6,6) y=2/3x

Mathematics
1 answer:
matrenka [14]3 years ago
8 0

Answer:

y = -\frac{3}{2}x+15

Step-by-step explanation:

Given:

Given point P(6, 6)

The equation of the line.

y = \frac{2}{3}x

We need to find the equation of the line perpendicular to the given line that contains P

Solution:

The equation of the line.

y = \frac{2}{3}x

Now, we compare the given equation by standard form y = mx +c

So, slope of the line m_{1} = \frac{2}{3}, and

y-intercept c=0

We know that the slope of the perpendicular line m_{1}\times m_{2}  = -1

m_{2}=-\frac{1}{m_{1}}

m_{2}=-\frac{1}{\frac{2}{3} }

m_{2}=-\frac{3}{2}

So, the slope of the perpendicular line m_{2}=-\frac{3}{2}

From the above statement, line passes through the point P(6, 6).

Using slope intercept formula to know y-intercept.

y=mx+c

Substitute point P(x_{1}, y_{1})=P(6, 6) and m = m_{2}=-\frac{3}{2}

6=-\frac{3}{2}\times 6 +c

6=-3\times 3 +c

c=6+9

c=15

So, the y-intercept of the perpendicular line c=15

Using point slope formula.

y=mx+c

Substitute m = m_{2}=-\frac{3}{2} and c=15 in above equation.

y = -\frac{3}{2}x+15

Therefore: the equation of the perpendicular line y = -\frac{3}{2}x+15

You might be interested in
What does this equal​
BlackZzzverrR [31]
A) The first one equals to 5

Step by step:
Change all denominators to 28, what you do to the bottom you do to the top.

After adding simplify.
8 0
2 years ago
Can somebody explain how to do this quickly. Already know how to solve it but it takes me a long time :(
lorasvet [3.4K]

Answer:

picture is too small .i am not able to see

4 0
3 years ago
In the complex plane, the rectangular coordinates (x, y) represent a complex number. Which statement explains why polar coordina
bonufazy [111]

Answer:

The correct option is;

r = √(x² + y²)

θ = tan⁻¹(y/x)

Step-by-step explanation:

The rectangular coordinate of a complex number on the complex plane is given as (x, y)

Given that the complex number is represented by a point on the plane, we have;

The distance, r, of the point from the origin, (0, 0) is r = √(x² + y²)

The direction, θ, by which we rotate to be in line with the point on the complex number is given by tan⁻¹(y/x)

7 0
3 years ago
Read 2 more answers
John has a rectangular-shaped field whose length is 62.5 yards and width is 45.3 yards. The area of the field is ________ square
xxMikexx [17]

2831.25 is the area and 215.6 is the perimeter

3 0
3 years ago
A bag contains 10 discs.
viva [34]
Answer: 1/10
Explanation: There are 10 discs in the bag so if you choose a 3 there is a 1 in 10 chance of you getting it
8 0
3 years ago
Other questions:
  • If a string that is 15.5 inches long is cut into equal pieces that are 1.25 inches long, how many pieces of ribbon can be create
    11·1 answer
  • Find two numbers whose difference is 10 and whose product is a minimum
    12·1 answer
  • What is the following sum in simplest form √8 + 3√2 + √32
    6·1 answer
  • In your math journal, reflect on why cereal is currently packaged using a rectangular prism. What would be the advantages and di
    7·1 answer
  • The temperature of a freezer started at 18 degrees Celsius.After cooling for a few hours, the freezer had a temperature of -12 d
    6·1 answer
  • Given `∆QRS≅∆TUV,` QS = 5v + 2, and TV = 8v - 7, find the length of QS
    15·1 answer
  • Suppose that z=6^500. Express the following in terms of z.
    8·1 answer
  • 5. a) A wire has a total length of 8184cm. It was cut into various pieces to form a series of 10 squares. The а length of each s
    6·1 answer
  • Help me w this math question! pleaseee
    14·2 answers
  • How can I solve this?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!