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3 years ago

Write an equation of the line in slope-intercept form that passes through (-3,5) and is perpendicular to y = -3x- 1

Mathematics

1 answer:

inna [77]3 years ago

6 0

9514 1404 393

Answer:

y = 1/3x +6

Step-by-step explanation:

The slope of the given line is the coefficient of x, -3. The slope of the perpendicular line will be the opposite reciprocal of that:

-1/(-3) = 1/3

The point-slope equation is then ...

y -k = m(x -h) . . . . . for line of slope m through point (h, k)

Here, we have m = 1/3, (h, k) = (-3, 5), so the point-slope equation is ...

y -5 = 1/3(x +3)

y = 1/3x + 1 + 5 . . . . eliminate parentheses, add 5

y = 1/3x +6 . . . . slope-intercept equation of the line

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3 years ago

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How do you do this ?

salantis [7]

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3 years ago

Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevat

Free_Kalibri [48]

Answer:

389 feets apart

Step-by-step explanation:

Given that:

Building A

Height = 400feets

Angle of elevation = 70°

Building B:

Height = 300 feets

Angle of elevation = 52°

Distance from the foot of building A to where Jonny is standing = x (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 70 = 400/ x

2.7474774x = 400

x = 145.58809 feets

Distance from the foot of building B to where Jonny is standing = y (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 52 = 300/ y

1.2799416y = 300

y = 145.59

y = 234.38568 feets

x + y = distance between the two buildings

(145.58809 + 234.38568) feets

= 379.97377

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3 years ago

8x(40+7)=(8x )+(8x7 what is the missing number

Hitman42 [59]

Well since the first expression says 8x(40+7) the answer would be 40 that is missing

Since your splitting 47 into 40 and 7 and multiplying both of them by 8 the answer would be 40

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3 years ago

Which graph is the linear function that has a slope of 1/3 and contains the point (- 2, - 4) ?

Vlad1618 [11]

Answer:

Option 1 (The last one, bottom right)

Step-by-step explanation:

If you start at the origin and go 2 to the left and 4 down, you will reach a point. We can test the slope by using rise over run from one point to another. It goes up 1 and three across which is true in this case.

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3 years ago