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Hitman42 [59]
3 years ago
5

Can anyone help me ? I just need the numbers

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
7 0

Answer:

<em>(-6, 0) and  (0, 1.5)</em>

<em></em>

Step-by-step explanation:

The equation of the line in pint slope form is expressed as;

y-y0= m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given

m = 1/4

(x0, y0) = (6,3)

Substitute into the formula;

y - 3 =  1/4(x-6)

4(y-3) = x - 6

4y - 12 = x-6

4y - x = -6+12

4y - x = 6

x = 4y - 6

To get the points to plot, we will find the x and y-intercept of the resulting expression.

For the x-intercept,

at y = 0

x = 4(0) - 6

x = -6

Hence the x-intercept is at (-6, 0)

For the y-intercept,

at x = 0

0 = 4y - 6

4y = 6

y = 6/4

y = 3/2

y = 1.5

Hence the y-intercept is at (0, 1.5)

<em>Hence the required points to plot to get the required line are  (-6, 0) and  (0, 1.5)</em>

<em></em>

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Step-by-step explanation:

To tell if lines are perpendicular or parallel just from the equations, you need to look at the slopes. So get the equations into slop-intercept form

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6 0
3 years ago
Solve the equation sin^2 x=3 cos ^2 x
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Answer:

Step-by-step explanation:

Answer:

x

=

π

3

,

2

π

3

,

4

π

3

,

5

π

3

Explanation:

(

sin

x

)

2

=

3

(

cos

x

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2

(

sin

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2

=

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(

1

−

(

sin

x

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2

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(

sin

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2

=

3

−

3

(

sin

x

)

2

4

(

sin

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)

2

=

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(

sin

x

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2

=

3

4

sin

x

=

±

(

√

3

2

)

x

=

π

3

,

π

−

π

3

,

π

+

π

3

,

(

2

π

)

−

π

3

x

=

π

3

,

2

π

3

,

4

π

3

,

5

π

3

If this was in the region

0

≤

x

≤

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π

6 0
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