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Artemon [7]
3 years ago
12

Which of the following equations correctly represents a circle centered at the origin with a radius of 10?

Mathematics
1 answer:
IgorLugansk [536]3 years ago
5 0

We need only focus on the standard equation of a circle centered at the origin with radius r: x^2 + y^2 = r^2. Here, r = 10 and so r^2 = 100.

Thus, in this case, the equation of the circle is x^2 + y^2 = 10^2.

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In a study, 8 people ate a total of 1,312 pounds of potatoes in 2 years.
cricket20 [7]

Answer:

83.125 pounds of potatoes

Step-by-step explanation:

1. Divide 1,312 by 2

    1,312/2 = 665

This means that in 1 year 8 people ate 665 pounds of potatoes.

2. Divide 665 by 8

    665/8 = 83.125

This means that in 1 year 1 person ate 83.125 pounds of potatoes.

5 0
3 years ago
Simplify (4x-8)/(-3x)*(12)/(12-6x)
zloy xaker [14]

\dfrac{4x-8}{-3x}\cdot\dfrac{12}{12-6x}=\dfrac{4(x-2)}{-x}\cdot\dfrac{4}{-6(x-2)}=\dfrac{4}{-x}\cdot\dfrac{4}{-6}\\\\=\dfrac{2}{-x}\cdot\dfrac{4}{-3}=\dfrac{(2)(4)}{(-x)(-3)}=\dfrac{8}{3x}

7 0
3 years ago
the length of a rectangle is 9 centimeters more than the width. the area is 112 square centimeters. find the length and width of
NeX [460]
Here,
let width(b)be x then,
length (l)=9cm+x
area =112 sq cm
now,
area of rectangle=l*b
or, 112=(9+x)x
or, 112=9x+x^2
or, 0=x^2+9x-112
or, 0=x^2+(16-7)x-112
or, 0=x^2+16x-7x-112
or, 0=x(x+16)-7(x+16)
or, 0=(x-7)(x+16)
either,
0=x-7
or,7=x
x=7cm
Or,
0=x+16
or, -16=x
x= -16[impossible,as distance is never negative] so,
x=7cm
therefore,length = 7cm + 9 cm = 16cm and width = 7cm.
;)







8 0
3 years ago
Read 2 more answers
Pls help asap I will mark brainlist
Luba_88 [7]

<u>Answer</u>:

A. y = \frac{-2}{3}x + 3

<u>Explanation</u>:

slope: \frac{y2-y1}{x2-x1}

         : \frac{1-3}{3-0}

         : \frac{-2}{3}

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

                y - 1 = \frac{-2}{3}( x - 3 )

                y = \frac{-2}{3}x + 3

6 0
2 years ago
Which of the following threats to biodiversity is a result of plants and animals introduced to an ecosystem where they are not n
Dahasolnce [82]

Invasive Species since they were brought into a habitat that they were not originally in.

3 0
3 years ago
Read 2 more answers
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