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2 years ago

The circle below is centered at the origin and has a radius of 10. What is its

Mathematics

1 answer:

coldgirl [10]2 years ago

6 0

Answer:

x^2+y^2=100

Steps:-

We know Distance formula from origin

$\\ \sf\longmapsto \sqrt{x^2+y^2}$

Now

$\\ \sf\longmapsto \sqrt{x^2+y^2}=10$

$\\ \sf\longmapsto x^2+y^2=10^2$

$\\ \sf\longmapsto x^2+y^2=100$

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The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She

Vinil7 [7]

Answer:

$128\text{ ft}^{2}$

Step-by-step explanation:

We have been given that the area of a square is given by $x^2$ , where x is the length of one side.

Mary's original garden was in the shape of a square. She has decided to double the area of her garden. So the new area of Mary's garden will be 2 times the area of original garden.

We can represent this information in an equation as:

$\text{Area of Mary's new garden}=2x^{2}$

Therefore, the expression $2x^2$ will represent the area of Mary's new garden.

To evaluate the area of new garden, if the side length of Mary's original garden was 8 feet, we will substitute x equals 8 in our expression.

$\text{Area of Mary's new garden}=2(8\text{ ft})^{2}$

$\text{Area of Mary's new garden}=2*64\text{ ft}^{2}$

$\text{Area of Mary's new garden}=128\text{ ft}^{2}$

Therefore, the area of Mary's new garden will be 128 square feet.

4 0

2 years ago

What is the distance between (-4,4) and (-7,3)

Alex787 [66]

Answer:

$\sqrt{10}$

Step-by-step explanation:

Using the distance formula, we see that the distance between (-4,4) and (-7,3) is $\sqrt{10}$ .

4 0

2 years ago

If you read 4/9 of a page in 3/5 minutes what’s your unit rate page per minute

Vikentia [17]

Answer:

12/45

Step-by-step explanation:

The unit rate is 12/45, because 4 times 3 is 12, and 9 times 5 is 45.

5 0

2 years ago

It takes 15 electricians 24 days to wire a new housing subdivision. how many days would 18 electricians require to do the same j

Romashka [77]

15 electricians worked for 24 days to the whole job, now, there are 15 of them, so on any given day, each electrician worked one whole day, in 24 days, that one electrician worked 24 days total.

now, there were 15 electricians on any given day though, since each one of them worked the whole day that one day, so the "days work worth" on a day is 15, so the house gets 15days worth of work because of that.

so how many "days worth" did all 15 do on the 24 days, well, 15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15, namely 15 * 24, or 360 days worth of work.

since it takes 360 days worth of work to do the whole wiring, in how many days would 18 electricians do it? 360/18.

4 0

2 years ago

Read 2 more answers

Dan earns £9.30 per hour. How much will he earn for 9 hours work?

Dimas [21]

Answer: £83.70

Step-by-step explanation:

We can set up a ratio.

Let x be the amount he earns for 9 hours of work.

$\frac{9.30 pounds}{1 hour} = \frac{x pounds}{9 hours}$

We can cross multiply:

x = 9*9.3

x = £83.70

6 0

1 year ago