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3 years ago

The points (1,7) and (0,5) fall on a particular line. What is its equation in slope-intercept

Mathematics

1 answer:

choli [55]3 years ago

3 0

Answer:

y = 2x + 5

Step-by-step explanation:

First find the slope:

5-7/0-1 --> -2/-1 --> (2)

Now use the point-slope form to find the slope-intercept form:

y-7 = 2 ( x - 1)

y - 7 = 2x - 2 add seven to both sides...

y = 2x + 5

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The floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from the center

Katyanochek1 [597]

The length of one side of the octagon is given by:
$L = 72/8

L = 9$
Then, the apothem can be determined using the Pythagorean theorem in the following way:
$11.8 ^ 2 = (9/2) ^ 2 + a ^ 2
$
Clearing to have:
$a ^ 2 = 11.8 ^ 2 - (9/2) ^ 2$
$a = \sqrt{11.8 ^ 2 - (9/2) ^ 2}$
$a = 10.91$
Then, the area is given by:
$A = (8) * (1/2) * (L) * (a)
$
Where,
L: length of the octagon sides
a: apotema
Substituting values:
$A = (8) * (1/2) * (9) * (10.91)

A = 392.76 feet ^ 2$
Answer:
the approximate length of the apothem is:
a = 10.91 feet
The approximate area of the floor of the gazebo is:
A = 392.76 feet ^ 2

8 0

3 years ago

Read 2 more answers

The population of Townville in 1860 was 1500 people. The population grew at about a rate of 2.8% per year until 1960. What was t

antoniya [11.8K]

It reachs 5800 population in 1960 if i am not wrong. i'll check this out tomorrow right now i do not have enough time for it.

3 0

3 years ago

Ron finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them. In how many ways can he make his s

pashok25 [27]

Answer:

15,120 for the first question. 1,680 if one of the books is a must

Step-by-step explanation:

When Ron chooses his first book, he has 9 options. After that, when he chooses his second book, he only has 8 choices because he already picked one of them. By his third choice, he only has 7 choices and so on.

We can make an equation to represent this,

9 x 8 x 7 x 6 x 5

Multiplying all of that out gets you 15,120.

The second problem is even easier. Since one of the books is already chosen for him, he starts off only having 8 options. Since he is only choosing four books this time, we are only multiplying four numbers.

8 x 7 x 6 x 5

Multiplying all of that out tells you there are 1,680 ways he can make his selection in the second scenario.

5 0

3 years ago

Plz help I need help with this one question

olya-2409 [2.1K]

Answer: 99 square cm

Step-by-step explanation:

you cut the height in half, so 6 divided by 2 = 3, if you do that you have to do the same to the width, so again 6 divided by 2 = 3, the length stays the same, so the equation would be 3 X 3 X 11 = 99

5 0

2 years ago

Read 2 more answers

Imogen sees a design for a garden in a magazine. She changes the scale because she wants a smaller garden. The figure below show

faust18 [17]

Answer:

Length A of the magazine garden is 28 feet is true.

Length B of the Magazine garden is 17.5 feet is true.

Length C of the Magazine garden is 35 feet is true.

Step-by-step explanation:

Please refer the attached figure.

Given:-