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rewona [7]
2 years ago
15

What is the equation of the line that passes through the point (3,-1) and is perpendicular to the equation y= -3x+2?

Mathematics
2 answers:
Sauron [17]2 years ago
6 0

Answer:

i think it is b or d im not for sure though

Step-by-step explanation:

Alex787 [66]2 years ago
6 0
Letter b because when an equation is perpendicular, the slope(in this case, -3) is reversed and the opposite...the slope for this equation would be 1/3 because 1/3 is the 3 reversed and it would be positive because the original equation has a negative
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Find an equation of the plane that contains the points p(5,−1,1),q(9,1,5),and r(8,−6,0)p(5,−1,1),q(9,1,5),and r(8,−6,0).
topjm [15]
Given plane passes through:
p(5,-1,1), q(9,1,5), r(8,-6,0)

We need to find a plane that is parallel to the plane through all three points, we form the vectors of any two sides of the triangle pqr:
pq=p-q=<5-9,-1-1,1-5>=<-4,-2,-4>
pr=p-r=<5-8,-1-6,1-0>=<-3,5,1>

The vector product pq x pr gives a vector perpendicular to both pq and pr.  This vector is the normal vector of a plane passing through all three points
pq x pr
=
  i   j   k
-4 -2 -4
-3  5  1
=<-2+20,12+4,-20-6>
=<18,16,-26>

Since the length of the normal vector does not change the direction, we simplify the normal vector as
N = <9,8,-13>

The required plane must pass through all three points.
We know that the normal vector is perpendicular to the plane through the three points, so we just need to make sure the plane passes through one of the three points, say q(9,1,5).

The equation of the required plane is therefore
Π :  9(x-9)+8(y-1)-13(z-5)=0
expand and simplify, we get the equation
Π  :  9x+8y-13z=24

Check to see that the plane passes through all three points:
at p: 9(5)+8(-1)-13(1)=45-8-13=24
at q: 9(9)+8(1)-13(5)=81+9-65=24
at r: 9(8)+8(-6)-13(0)=72-48-0=24
So plane passes through all three points, as required.

3 0
3 years ago
What is the slope please help
mylen [45]
Slope: rise over run
4 up and 2 to left
4/2 = 2, the slope is 2
8 0
3 years ago
Tia is 8 years younger than her sister Annette. Annette is y years old. Write an algebraic expression that describes Tia’s age.
-BARSIC- [3]
8-y
Hope this helps and please mark brainliest.
6 0
3 years ago
Read 2 more answers
Helppppppp its math.....
m_a_m_a [10]

Answer:

1. X is added to 8

2. Subtract 14 by a number

3. Multiply 2 after you add 3 into a number.

4.. Twice a number plus 3

5. Divide 15 by a number

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
What is the rate of change of the volume of the cylinder at that instance (in cubic kilometers per second)?
Kay [80]

Answer:

hello your question is incomplete attached below is the complete question

answer : -2400 π

Step-by-step explanation:

dr/dt = -12 km/s

h = 2.5 km

r = 40 km at some instant

hence the rate of change of Volume of cylinder at that instance

= dv / dt = d(\pi r^h ) / dt  

              = \pi h\frac{d(r^2)}{dt}  = -\pi h *2r *dr/dt

hence ; dv / dt = -2400 π

3 0
3 years ago
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