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4 years ago

PLEASE HELP!!!

Mathematics

1 answer:

polet [3.4K]4 years ago

5 0

Answer:

y=2x+1

Step-by-step explanation:

The point-slope form is (y-y1)=m(x-x1), with x1 and y1 being the coordinates from ordered pair, and m being the slope. You can plug all of those values into the original equation:

(y-y1)=m(x-x1)

y-3=2(x-1)

y-3=2x-2

y=2x+1

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if the length of a rectangle is decreased by 2cm and the width is increased by 6 cm the result will be a square the area of this

Nastasia [14]

The area of the rectangle is 105 square cm

<h3>How to determine the rectangle area?</h3>

Represent the dimensions of the rectangle with x and y

So, the length of the square would be:

Length = x - 2

Width = y + 6

The areas are then calculated as:

Rectangle = xy

Square = (x -2)(y + 6)

The relationship between the areas is:

(x -2)(y + 6) = 64 + xy

Expand

xy + 6x - 2y - 12 = 64 + xy

This gives

6x - 2y - 12 = 64

Add 12 to both sides

6x - 2y= 76

Divide through by 2

3x - y = 38

By trial by error, we have:

x = 15 and y = 7

The rectangle area is then calculated as:

Rectangle = xy

This gives

Rectangle = 15 * 7

Evaluate

Rectangle = 105

Hence, the area of the rectangle is 105 square cm

Read more about areas at:

brainly.com/question/27683633

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8 0

2 years ago

Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes.

NARA [144]

Answer:

Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

Step-by-step explanation:

Machine A makes popcorn at a rate of 4.25 ozs per minute (12.75oz/3min).

Machine B makes popcorn at a rate of 4.5 ozs per minute (18oz/4min).

Machine A will make 4.25oz/min * 10minutes = 42.5oz of popcorn after 10 minutes

Machine B will make 4.5oz/min * 10 minutes = 45oz of popcorn after 10 minutes

After 10 minutes there will be a total of 42.5oz (Machine A) +45oz (Machine B) = 87.5oz.

So the answer is: Yes there will be (more than) enough popcorn if both machines make popcorn for 10 minutes.

If the question is wondering how many 9oz bags they can fill: 87.5oz/9oz per bag = 9.7222 bags. The machines can fill 9, 9oz, bags with some popcorn leftover.

7 0

3 years ago

Read 2 more answers

Eight hundred and five thousandths in decimal form?

iragen [17]

0.135 (the zero, while not required, is the usual form)

8 0

3 years ago

I need help with number 2

Ghella [55]

The weight (y) will always be positive, the number of balls (x) too. So without the bucket, the function would be:

y = 1.6x

Now we have to add the weight of the bucket which is 2lb, or the same 32oz.

So the function results:

y = 1.6x + 32 (oz.)

If there is 1 ball, the weight is 1.6+32 = 33.6 oz. If there are no balls, the weight is 0 + 32 = 32 oz.

It is very important that all terms in the equation are in the same units, oz. in this case. Otherwise, if you do not translate lb. to oz. the resulting equation will be wrong.

If you need the equation expressed in lb., you only need to multiply the equation by 1lb/16oz:

y = = 0.1x + 2 (lb.)

3 0

3 years ago

Pls answer with equation

mel-nik [20]

Answer:

127°

Step-by-step explanation:

171+62+127=360

3 0

3 years ago

Read 2 more answers