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
igomit [66]
3 years ago
7

What is an equation of the line that is perpendicular to y=-3/4x+6 and passes through the point (3,9)

Mathematics
1 answer:
goldenfox [79]3 years ago
5 0

Answer:

y=\frac{4}{3}x+5

Step-by-step explanation:

The line y= -3/4+6 in the comments has slope -3/4. A perpendicular line will have the negative reciprocal of -3/4. It's 4/3.

To write the equation, substitute 4/3 and the point (3,9) into

y-y_1 = m(x-x_1)

y-9=\frac{4}{3}(x-3)\\\\y-9=\frac{4}{3}x -\frac{4*3}{3}\\\\y-9=\frac{4}{3}x-4\\\\y=\frac{4}{3}x+5

You might be interested in
Consider F and C below. F(x, y, z) = y2 sin(z) i + 2xy sin(z) j + xy2 cos(z) k C: r(t) = t2 i + sin(t) j + t k, 0 ≤ t ≤ π (a) Fi
Liono4ka [1.6K]

Answer:

a) f (x,y,z)= xy^2\sin(z)

b) \int_C F \cdot dr =0

Step-by-step explanation:

Recall that given a function f(x,y,z) then \nabla f = (\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z}). To find f, we will assume it exists and then we will find its form by integration.

First assume that F = \nabla f. This implies that

\frac{\partial f}{\partial x} = y^2\sin(z) if we integrate with respect to x we get that

f(x,y,z) = xy^2\sin(z) + g(y,z) for some function g(y,z). If we take the derivative of this equation with respect to y, we get

\frac{\partial f}{\partial y} = 2xy\sin(z) + \frac{\partial g}{\partial y}

This must be equal to the second component of F. Then

2xy\sin(z) + \frac{\partial g}{\partial y}=2xy\sin(z)

This implies that \frac{\partial g}{\partial y}=0, which means that g depends on z only. So f(x,y,z) = xy^2\sin(z) + g(z)

Taking the derivative with respect to z and making it equal to the third component of F, we get

xy^2\cos(z)+\frac{dg}{dz} = xy^2\cos(z)

which implies that \frac{dg}{dz}=0 which means that g(z) = K, where K is a constant. So

f (x,y,z)= xy^2\sin(z)

b) To evaluate \int_C F \cdot dr we can evaluate it by using f. We can calculate the value of f at the initial and final point of C and the subtract them as follows.

\int_C F \cdot dr = f(r(\pi))-f(r(0))

Recall that r(\pi) = (\pi^2, 0, \pi) so f(r(\pi)) = \pi^2\cdot 0 \cdot \sin(\pi) = 0

Also r(0) = (0, 0, 0) so f(r(0)) = 0^2\cdot 0 \cdot \sin(0) = 0

So \int_C F \cdot dr =0

5 0
3 years ago
Last year, Jason's average in math was a 72. This year, his average is a 90. What is the percent increase in Jason's grade?
slamgirl [31]

Answer:

20% increase

Step-by-step explanation:

All you have to do is divide 72 by 90n and it will give you .8, move the decimal two places to the right to give you 80 and subtract 80 from 100 to get 20

7 0
2 years ago
Find the percent of change. Where necessary, round to the nearest percent. Describe the percent of change as a percent of increa
deff fn [24]
70.17543859649122 percent change , rounded would be 70%, it is a 70% increase, as it goes to 57,000 to 97,000
6 0
3 years ago
Help me please, not very good at math. Thank u:)
ozzi

Answer:

76cm^2

Step-by-step explanation:

Separate the shape into two different rectangles. Then add the area of the rectangles together.

4 x 4 = 16

6 x 10 = 60

16 + 60 = 76

8 0
2 years ago
Read 2 more answers
The top of the lid to a small container is in the shape of a square with a side length of 6 centimeters, as shown. What is the a
nika2105 [10]

Answer:

c.)36

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • A box is 1 meter wider than its height and 2 meters longer than his width.
    6·1 answer
  • Entrance to a state park costs $6 per vehicle plus $2 per per person in the vehicle how much would it cost for a car with 2 peop
    15·1 answer
  • What is the solution to the following system of equations? y = −x^2 − 5x − 4 y = −x^2 + 9x − 18
    5·1 answer
  • Help meeeee please <br> Geometry
    8·1 answer
  • I will give you that Brainly thing if it’s right plzz
    12·2 answers
  • The double number line shows the approximate number of ounces in a certain number of pounds:
    11·1 answer
  • 3-6i <br> hi can you guys help me solve this, i’m not understanding it. construct a polynomial?
    11·1 answer
  • The image of the point (2, 1) under a translation is (-3, -2). Find
    5·1 answer
  • Help meeeeeeeeeeeeeeeeeeeeee
    11·2 answers
  • Solve algebraically the simulaneous equations y=2x^2-3x-10<br>2x-y=-2​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!