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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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Question 4 i need help on!!
MrMuchimi

Answer:

C  20

Step-by-step explanation:

Set up equations:

Laguna's Truck Rentals

y = 2x + 20

Where x is the number of miles driven and y is the total price

<em>How did we get to this equation?</em>

Well, the company charges $2 for every mile driven. Therefore, by multiplying 2 and x, you will find the price paid per mile. The 20 (which represents $20) is the one-time payment you pay for simply using the service.

Salvatori's Truck Rentals

y = 3x

Where x is the number of miles driven and y is the total price

<em>How did we get to this equation?</em>

For this company, you only pay for how many miles you drive. There isn't a one-time payment like there is for Laguna's Truck Rentals. Therefore, you only need to multiply the price per mile ($3) by the number of miles driven (x).

Set the equations equal to each other:

2x + 20 = 3x

<em>Why would you do this?</em>

We need to set the equations equal to each other because we need to find the point at which the prices are the same. When two things are the same, they are equal. Therefore, we get rid of the y variable (which represents the total price) because we want to find the value of x when the equations are equal to one another.

Solve:

2x + 20 = 3x

Subtract 2x on both sides:

2x + 20 = 3x

-2x           -2x

20 = x

When x is equal to 20, or when the number of miles driven is 20, the total price of the Truck Rental services is the same.

Hope this helps :)

4 0
3 years ago
A tablet weighs 1.23 pounds. What is its weight written as a mixed number?
garik1379 [7]
If a tablet weighs 1.23 pounds, the weight written as a mixed number would be, 1 as the whole number and 23 is in the hundreds place, so you would write, 1 and 23/100.
3 0
3 years ago
What's the answer to -6&lt;21
Sphinxa [80]

Answer:

Step-by-step explanation:

There's no answer here. Because -6<21.

5 0
4 years ago
The sum of 7, -8 and 2 is less than zero. true or false
Usimov [2.4K]
False ssssssssssssssssssssssssssssssssssssssssssssss
8 0
3 years ago
Sin(x+20) - cos (2X+10)
Vladimir [108]

Answer:

X=20

Step-by-step explanation:

Sin(x+20)=cos(2x+10)

Sin(x+20)=sin(90-(2x+10)

X+20=90-2x-10

3x=60

X=20

8 0
3 years ago
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