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Agata [3.3K]
3 years ago
12

The equation of line CD is y = −2x − 2. What is the equation of a line parallel to line CD in slope-intercept form that contains

point (4, 5)
Mathematics
1 answer:
aniked [119]3 years ago
6 0

Answer:

\[y=-2x+13\]

Step-by-step explanation:

Equation of the line CD is given as \[y=-2x-2\]

Slope of the line CD = -2

Slope of the line parallel to CD = -2

Equation of the line parallel to CD is given by \[y=mx+c\]

\[y=-2x+c\]

But this line passes through (4,5)

Substituting the values in the equation:

\[5=-2*(4)+c\]

=> \[c=5+8=13\]

So the overall equation of the parallel line is given by \[y=-2x+13\]

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Answer: 31

Step-by-step explanation:

To find the distance, find the difference between the number.

23 - (-8) = 31     So the distance is 31  units.

Note: To go from -8 to 23   you will have to add 31 to -8  and to go from  23 to -8 you will have to subtract 31 so the distance is 31

7 0
4 years ago
Solve the system graphically<br> 1. x-2y=6 and 3x+2y=-6<br><br> 2. x-y=0 and 2x+3y=-5
zysi [14]

Step-by-step explanation:

1)The given equations are:

x − 2y = 6 ...(i)

3x − 6y = 0 ...(ii)

Putting x = 0 in equation (i) we get

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x = 0, y = -3

Putting y = 0 in equation (i) we get

⇒x-2×0=6

⇒x=6

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Use the following table to draw the graph

x 0 6

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Plotting the two points A(0, -3) and B(6,0) equaion (1) can be drawn

Graph of the equation ..(ii)

3x - 6y = 0 ...(ii)

Putting x = 0 in equation (ii) we get

⇒3×0-6y=0

=> y = 0

x = 0, y = 0

Putting x = 2 in equation (2) we get

⇒3×2-6y=0

=> y = 1

x = 2, y = 1

Use the following table to draw the graph.

x 0 2

y 0 1

Draw the graph by plotting the two points O(0,0) and D(2,1) from table

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2)

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3 years ago
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21 fewer stars than three times a number h
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4 years ago
A bag has one red ball, three blue balls and twice as many green balls as blue balls. if one ball is drawn (without looking) fro
WITCHER [35]

Answer:

3/10 or three tenths or 0.3 or 0.30

Step-by-step explanation:

Plz brainliest

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ABC and ADE are similar. Find the length of size CA
ankoles [38]

Answer:

since ABC and ADE are similar,they have equal areas.

(AC)^2/(AE)^2=area ABC/ADE

areaABC=ACE=1

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3 years ago
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