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EleoNora [17]
3 years ago
9

What is the constant of variation k of the line y=kx through (5,8)

Mathematics
2 answers:
mina [271]3 years ago
8 0

Answer:

k= 8/5

Step-by-step explanation:

here x= 5 and y= 8

we have y=kx

k= y/x

k= 8/5 this is constant of variation

patriot [66]3 years ago
4 0

Answer:

k=\frac{8}{5}

Step-by-step explanation:

find the constant of variation k of the line y=kx through (5,8)

Use equation of line y=kx

k is the constant of variation

LEts find out k using the point (5,8)

x=5 and y=8, plug in the values

8=k(5)

To get k alone, divide by 5 on both sides

k=\frac{8}{5}

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Which is an equation of a direct proportion?
statuscvo [17]

Answer:

y=-2x

This type of equation is a form of a direct proportion.

7 0
3 years ago
If tan 0=5/4, calculate the value of cos 0
emmasim [6.3K]
 
                     5
If  tan θ  =  —— , calculate the value of  cos θ:
                     4


Recall the definition of the tangent function:

                 sin θ
tan θ  =  ————
                cos θ
 
  5           sin θ
——  =  ————
  4          cos θ

Cross multiply:

5 · cos θ = 4 · sin θ

Square both sides:

(5 · cos θ)² = (4 · sin θ)²

5² · cos² θ = 4² · sin² θ

25 · cos² θ = 16 · sin² θ

But  sin² θ = 1 – cos² θ.  Substitute that for  sin² θ  into the equation above, then you get

25 · cos² θ = 16 · (1 – cos² θ)

25 · cos² θ = 16 – 16 · cos² θ

Isolate  cos² θ:

25 · cos² θ + 16 · cos² θ = 16

(25 + 16) · cos² θ = 16

41 · cos² θ = 16
 
                    16
cos² θ  =  ———
                    41

                      4²
cos² θ  =  ————
                  (√41)²

Take square root of both sides:
 
                       4
cos θ  =  ±  ———
                    √41

                       4                                    4
cos θ  =  –  ———     or     cos θ  =  ———          ✔
                     √41                               √41


The sign of  cos θ  depends on which quadrant  θ  lies. Since you first have a positive value for  tan θ, then that means  θ  lies either in the  1st  or the  3rd quadrant.

•  If  θ  is a  1st  quadrant angle, then

cos θ > 0
 
                   4
cos θ  =  ———          ✔
                 √41

•  If  θ  is a  3rd  quadrant angle, then

cos θ < 0
 
                       4
cos θ  =  –  ———          ✔
                     √41


I hope this helps. =)

3 0
3 years ago
Write the equation of the line that passes through the points (2,-6) and (6,-6).
NeTakaya

Answ

Step-by-step explanation:

Two point slope =-(-6+6)/(6-2) =0

Equation is y+6 = 0(x-2)

y+6=0

y=-6

The point is -6 at y axis which is a horizontal line.

5 0
2 years ago
Which equation has a k-value of -12<br>A. y=-12x<br>B. y=12+12x<br>C. y=x-12<br>D. y=12x+1
CaHeK987 [17]
I would say A. I'm assuming this is to do with the equation y=kx, therefore A has the k value of -12
3 0
3 years ago
Factor p2+5p-24 completely
aliina [53]
The anwser is A. (p + 8) (p - 3)

5 0
3 years ago
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