Write the slope-intercept form of an equation for the line that passes through (2, 3) and is parallel to the graph of y = 2x -1

Mathematics

2 answers:

Alex787 [66]3 years ago

5 0

Answer:

y = 2x -1

Step-by-step explanation:

when a two lines are parallel to each other that means they have the same slope.

you use point slope formula to find a line with the same slope and passes through (2,3)

y - y' = m(x - x') is the general form so you plug in (2,3) and the slope and you get

y - 3 = 2(x -2)

first your distribute the 2 into the parenthesis and you get

y-3 = 2x -4

now add 3 to both sides

y = 2x -1

ehidna [41]3 years ago

3 0

Answer:

Step-by-step explanation:

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4 years ago

An aluminum can is a right cylinder. Find the amount of paper needed for the can's label and the total

Rina8888 [55]

Answer:

Label: About 527.9 square centimeters

Aluminum: About 835.7 square centimeters

Step-by-step explanation:

Amount of paper needed for the label:

You can imagine taking off the label and unrolling it, forming a rectangle. The height of this rectangle will be the height of the cylinder, while the length of the rectangle will be the circumference of the cylinder. Therefore, the area of that rectangle will be $2\pi r h= 2 \cdot \pi \cdot 7 \cdot 12\approx 527.9$ .

Amount of aluminum needed for the can:

This time, you need to add in the top and bottom of the can as well, which each have area $\pi r^2$ . Together, they have area $2\pi r^2=2\cdot \pi \cdot 7^2\approx 307.9$ . Adding this to the area of the sides, you get a total of about 835.7 square centimeters.