All categories

3 years ago

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

You might be interested in

62.5% of what number is 25 ?

denis23 [38]

62.5% = 0.625

25 ÷ 0.625 = 40

25 is 62.5% of 40

8 0

3 years ago

Explain the translation shown in the picture below

slavikrds [6]

Answer:

translation under vector (6/-4)

Step-by-step explanation:

all points move in the same direction and equal distances and also they are directly congruent and then find the translation vector ( there is no slash)

7 0

3 years ago

Please answer seriously thanks !! will give brainliest

deff fn [24]

Answer:

Step-by-step explanation:

21) CD - chord (segment)

22)FG - line

23) EC - segment - diameter

24) AB - segment - radius

25) H - Point

26) A - Point

4 0

2 years ago

Please Help with question number 1 I will give a brainliest

IrinaK [193]

Answer: Ok soooo you make a line graph that has 10 numbers for X and Y, then you make a line going through (1, 2 ) and then keep going for about 1-2 numbers and then your done!

Step-by-step explanation:

6 0

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

8 0

2 years ago