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castortr0y [4]
3 years ago
7

What is the axis of symmtry

Mathematics
2 answers:
elixir [45]3 years ago
6 0
The middle of a parabola
belka [17]3 years ago
5 0

Answer:

The axis of symmetry of a parabola is a line about which the parabola is symmetrical.

Step-by-step explanation:

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

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Line v passes through point [6.6] and is perpendicular to the graph of y= 3/4x - 11 line w is parallel to line v and passes thro
lbvjy [14]

Given:

The equation of a line is

y=\dfrac{3}{4}x-11

Line v passes through point (6,6) and it is perpendicular to the given line.

Line w passes through point (-6,10) and it is parallel to the line v.

To find:

The equation in slope intercept form of line w.

Solution:

Slope intercept form of a line is

y=mx+b         ...(i)

where, m is slope and b is y-intercept.

We have,

y=\dfrac{3}{4}x-11      ...(ii)

On comparing (i) and (ii), we get

m=\dfrac{3}{4}

So, slope of given line is \dfrac{3}{4}.

Product of slopes of two perpendicular lines is -1.

m_1\times m_2=-1

\dfrac{3}{4}\times m_2=-1

m_2=-\dfrac{4}{3}

Line w is perpendicular to the given line. So, the slope of line w is -\dfrac{4}{3}.

Slopes of parallel line are equal.

Line v is parallel to line w. So, slope of line v is also -\dfrac{4}{3}.

Slope of line v is -\dfrac{4}{3} and it passes thorugh (-6,10). So, the equation of line v is

y-y_1=m(x-x_1)

where, m is slope.

y-10=-\dfrac{4}{3}(x-(-6))

y-10=-\dfrac{4}{3}(x+6)

y-10=-\dfrac{4}{3}x-\dfrac{4}{3}(6)

y-10=-\dfrac{4}{3}x-8

Adding 10 on both sides, we get

y=-\dfrac{4}{3}x-8+10

y=-\dfrac{4}{3}x+2

Therefore the equation of line v is y=-\dfrac{4}{3}x+2.

3 0
3 years ago
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