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zepelin [54]
3 years ago
8

Would be awesome if someone could help me out with this, please, and thank you. Write an equation of the line perpendicular to t

he given line that contains P.
​P(5​, -6​); y = 1/3x + 2
Mathematics
1 answer:
Harman [31]3 years ago
6 0

Choose a point that the perpendicular line will pass through.

(

0

,

0

)

Simplify

1

3

x

.

Tap for more steps...

y

=

x

3

−

5

Use the slope-intercept form to find the slope.

Tap for more steps...

m

=

1

3

The equation of a perpendicular line to

y

=

x

3

−

5

must have a slope that is the negative reciprocal of the original slope.

m

perpendicular

=

−

1

1

3

Simplify

−

1

1

3

to find the slope of the perpendicular line.

Tap for more steps...

m

perpendicular

=

−

3

Find the equation of the perpendicular line using the point-slope formula.

Tap for more steps...

y

=

−

3

x



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Answer:

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Step-by-step explanation:

Two tangents drawn to a circle from an outside point form arcs and an angle, and this formula shows the relation between the angle and the two arcs.

m<EYL = (1/2)(m(arc)EVL - m(arc)EHL)      Eq. 1

The sum of the angle measures of the two arcs is the angle measure of the entire circle, 360 deg.

m(arc)EVL + m(arc)EHL = 360

m(arc)EVL = 360 - m(arc)EHL      Eq. 2

We are given this:

m<EYL = (1/3)m(arc)EHL       Eq. 3

Substitute equations 2 and 3 into equation 1.

(1/3)m(arc)EHL = (1/2)[(360 - m(arc)EHL) - m(arc)EHL]

Now we have a single unknown, m(arc)EHL, so we solve for it.

2m(arc)EHL = 3[360 - m(arc)EHL - m(arc)EHL]

2m(arc)EHL = 1080 - 6m(arc)EHL

8m(arc)EHL = 1080

m(arc)EHL = 135

Substitute the arc measure just found in Equation 3.

m<EYL = (1/3)m(arc)EHL

m<EYL = (1/3)(135)

m<EYL = 45

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Step-by-step explanation:

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Step-by-step explanation:

pet supplier has a stock of parakeets of which 20% are blue parakeets

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A pet store orders 3 parakeets from this supplier

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P(x=1)=nCr (p)^r(q)^{n-r}

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Match the vocab word with the definition:
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