All categories

2 years ago

The equation of the line CD is (y-3)=-2(x-4). what is the scope of the line perpendicular to line CD

Mathematics

1 answer:

Delicious77 [7]2 years ago

8 0

Answer:

y=-1/2x-5

Step-by-step explanation:

First we need to put (y-3)=2(x-4) in slope intercept form.

we need to do order of operations....

so we need to first do the parenthesis

x*2= 2x

2*-4= -8

y-3=2x-8

add 3 on both sides to isolate y

y= 2x-5

so now we know the y=mx+b form

this is one line...

now we need to find out what line is perpendicular.

Perpendicular lines have opposite reciprocals slopes.

y=-1/2x-5

You might be interested in

Evaluate the following expression. Express your answer in simplest form. 3/16 + 5/8 × 1/2

miss Akunina [59]

Answer:

1/2

Step-by-step explanation:

We have to follow the order of operations. Since there are no parenthesis or exponents, we do multiplication first. to multiple fractions, we multiply the two numerators (top parts), which in this situation would get us 5*1=5. Then, we multiply the two denominators (bottom parts), which would get us 8*2=16. then we put the first result over the second, and we get 5/16. since the two denominators are the same, we don't need to change anything. we can just add the numerator, and get 8/16, which simplifies to 1/2.

4 0

3 years ago

4(-2d-3)=12, someone please solve this for me asap

wlad13 [49]

4(-3 + -2d) = 12

(-3 * 4 + -2d * 4) = 12

(-12 + -8d) = 12

-12 + -8d = 12

-12 + 12 + -8d = 12 + 12

-12 + 12 = 0

0 + -8d = 12 + 12

-8d = 12 + 12

12 + 12 = 24

-8d = 24

d = -3

5 0

3 years ago

Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.<br> help

Anvisha [2.4K]

Answer:

24/25

Step-by-step explanation:

Cos Z = adj/hyp

= 48/50

= 25

3 0

3 years ago

Unit 3 homework 6 Gina Wilson

Sonja [21]

Answer:

5) The equation of the straight line is 2 x - y + 1 =0

6) The equation of the straight line is x + y -5 =0

7) The equation of the straight line is 5 x + 6 y - 24 =0

8) The equation of the straight line is x - 4 y -4 =0

9) The equation of the parallel line is 3x + y -19 =0

Step-by-step explanation:

The equation of the straight line is

$y - y_{1} = m ( x - x_{1} )$

Slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Given points are (1,3) , ( -3,-5)

$m = \frac{-5-3 }{-3-1 } = \frac{-8}{-4} = 2$

The equation of the straight line is

$y - y_{1} = m ( x - x_{1} )$

$y - 3 = 2 ( x - 1 )$

y = 2x - 2 +3

2 x - y + 1 =0

The equation of the straight line is 2 x - y + 1 =0

The equation of the straight line is

$y - y_{1} = m ( x - x_{1} )$

Slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Given points are (1,4) , ( 6,-1)

$m = \frac{-1-(4) }{6-1 } = \frac{-5}{5} = -1$

The equation of the straight line is

$y - y_{1} = m ( x - x_{1} )$

$y - 1 = -1 ( x - 4 )$

y - 1 = - x +4

The equation of the straight line is x + y -5 =0

The equation of the straight line is

$y - y_{1} = m ( x - x_{1} )$

Slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Given points are (-12 , 14) , ( 6,-1)

$m = \frac{-1-(14) }{6+12 } = \frac{-15}{18} = \frac{-5}{6}$

$y - 14 = \frac{-5}{6} ( x - (-12) )$

6( y - 14 ) = - 5 ( x +12 )

6 y - 84 = - 5x -60

5 x + 6 y -84 + 60 =0

5 x + 6 y - 24 =0

The equation of the straight line is

$y - y_{1} = m ( x - x_{1} )$

Slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Given points are (-4 , -2) , ( 4 , 0)

$m = \frac{0+2}{4 +4} = \frac{2}{8} = \frac{1}{4}$

$y - (-2) =\frac{1}{4} ( x - (-4) )$

4 ( y + 2) = x + 4

x - 4 y -4 =0

The equation of the line y = 3x + 6 is parallel to the line

3x + y + k =0 is passes through the point ( 4,7 )

⇒ 3x + y + k =0

⇒ 12 + 7 + k =0

⇒ k = -19

The equation of the parallel line is 3x + y -19 =0

4 0

3 years ago

mr.ross is building playroom.he is going to tile the flooring using 20cmx20cm tiles. the floor measures 2mx4m in area. how many

Valentin [98]

Answer:

200 tiles

Step-by-step explanation:

area of the floor = 2m×4m

the tile=20cm×20cm

the tiles needed to complete the job will be

2m×4m

——–—–

20cm×20cm

change the meters to centimeters

200cm×400cm

————————

20cm×20cm

therefore the answer is 200tiles.

3 0

2 years ago