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
fredd [130]
2 years ago
15

Write an equation of the line that passes through the given point and is perpendicular to the graph of the given equation. Pleas

e also tell me how you did this! Thank you so much!!
(3, 5); y=−3x+7
Mathematics
1 answer:
Anna71 [15]2 years ago
6 0

Answer:

y = \frac{1}{3}x + 4

Step-by-step explanation:

First, to figure out the equation of a line you must find the slope then plug in the coordinates.

In order to find the slope of the equation, you know that it is perpendicular to the equation y = -3x + 7.

Perpendicular slopes are basically reciprocals with opposite signs; you flip the number and give it the opposite symbol.

For example, the perpendicular slope of 2 would -1/2, because flipping the fraction 2/1 is 1/2 and the opposite sign of + would be -.

Therefore, the perpendicular slope of -3 would be 1/3, be 3/1 flipped upside down is 1/3 and the opposite sign of - is +.

Then you plug in the slope into the equation of a line along with the coordinate.

A line is y = mx + b

Since you found the slope, m = 1/3

They also give you the coordinate (3,5), meaning when x = 3, the y =5.

You plug everything into the equation to solve for b:

5 = (1/3)(3) + b

b = 5 - (1/3 * 3) = 5 - 1 = 4

Since you have values for m and b, the equation can now be constructed as

y = 1/3x + 4

You might be interested in
Someone please help I hate probability :(
nikdorinn [45]
I think starting from the top it would go as follows

9/36, 27/36, 32/36 , 4/36

b.) 9/36

c.) I really don't remember how to do the "order doesn't matter" thing anymore, so idk. my best idea is for you to look up the formulas for permutation and combinations. I know it has to do with that
7 0
3 years ago
A circle is defined by the equation x2 + y2 + 8x + 22y + 37 = 0. What are the coordinates for the center of the circle and the l
inn [45]
We can say that:
8x = -2ax
8 = -2a
a = -4

22y = - 2by
22 = -2b
b = -11

37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10

With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10

P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0

6 0
3 years ago
a motorcycle cost $12,000 when it was purchased. the value of a motorcycle decreases by 6% each year. find the rate of decay eac
kiruha [24]
There's 12 months in a year so if the value decreases by 6% each year that would be 6 ÷ 12 which is 0.5%. Therefore the decay each month is -0.5%.
5 0
3 years ago
In a free-fall experiment, an object is dropped from a height of h = 400 feet. A camera on the ground 500 ft from the point of i
PilotLPTM [1.2K]
Hmmm the object, is at rest, when dropped, so it has a velocity of 0 ft/s

the only force acting on the object, is gravity, using feet will then be -32ft/s²,


was wondering myself on -32 or 32.. but anyhow... we'll settle for the negative value, since it seems to be just a bit of convention issues

so, we'll do the integral to get v(t) then

\bf \displaystyle \int -32\cdot dt\implies -32t+C
\\\\\\
\textit{object moves from \underline{rest}, so velocity is 0 at 0secs}
\\\\\\
-32(0)+C=0\implies C=0\implies \boxed{v(t)=-32t}
\\\\\\
\textit{now to get the positional s(t)}
\\\\\\
\displaystyle \int -32t\cdot dt\implies -16t^2+C
\\\\\\
\textit{the initial \underline{position} was 400ft away at 0secs}
\\\\\\
-16(0)^2+C=400\implies C=400\implies \boxed{s(t)=-16t^2+400}

when will it reach the ground level? let's set s(t) = 0

\bf s(t)=-16t^2+400\implies 0=-16t^2+400\implies \cfrac{-400}{-16}=t^2
\\\\\\
25=t^2\implies \boxed{5=t}


part B)  check the picture below

5 0
3 years ago
Write an equation of the parabola with the vertex (-5,4) and focus (-5,0)
ch4aika [34]

Answer:

-0.4 or -10.4

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Question in picture below.
    13·2 answers
  • Solve for a <br><br> . 1/2a = 11
    13·2 answers
  • The loudness, L , of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d , from the so
    12·1 answer
  • I need help in these questions
    11·1 answer
  • 3x+2y=8
    13·1 answer
  • How are the volumes of cylinders, cones, and spheres related?
    13·2 answers
  • What is the slope of the line passing through the points (−3, 4) and (4, −1)?
    7·2 answers
  • Find the slope of the line that passes through the two points. (0, 0), (3, 2)
    15·1 answer
  • What is the perimeter of a square if the length of one of the diagonals is 12 cm?
    8·1 answer
  • Pleas help i dont understand
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!