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Alex17521 [72]
3 years ago
15

Find an equation of the line through the given point and perpendicular to the given line

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
4 0

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

For two lines to be perpendicular, the slope of one line is the negative reciprocal of the other line. The equation of the given line is

y = 2x - 2

Comparing with the slope intercept form,

Slope, m = 2

This means that the slope of the line that is perpendicular to it is -1/2

The given points are (-3, 5)

To determine c,

We will substitute m = -1/2, y = 5 and x = - 3 into the equation, y = mx + c

It becomes

5 = -1/2 × - 3 + c

5 = - 3/2 + c

c = 5 + 3/2

c = 13/2

The equation becomes

y = -x/2 + 13/2

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denis23 [38]


40

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Which represents the polynomial written in standard form? 8x2y2 – StartFraction 3 x cubed y Over 2 EndFraction 4x4 – 7xy3 –7xy3
olga55 [171]

Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign. The given option the option A matches correctly with the above polynomial equation which is,

-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4

Hence the option A is the correct option.

<h3>Given information-</h3>

The given polynomial equation in the problem is,

8x^2y^2-\dfrac{3x^3y}{2}+4x^4-7xy^3

<h3>Polynomial equation </h3>

Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign.

In the above polynomial equation the variable are<em> x </em>and <em>y </em>and the highest power of the variable <em>x</em> is four and highest power of the variable <em>y</em> is three.

Arrange the polynomial equation in the power of the variable <em>x. </em>Thus,

4x^4-\dfrac{3x^3y}{2}+8x^2y^2-7xy^3

Arrange the polynomial equation in the power of the variable <em>y. </em>Thus,

-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4

From the given option the option A matches correctly with the above polynomial equation which is,

-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4

Thus the option A is the correct option.

Learn more about the polynomial equation  here;

brainly.com/question/25958000

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2 years ago
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