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3 years ago

15

Joe spent 1 1/3 hours studying for his math test. Randy studied for the amount of time that Joe did. What fraction of a hour did

Randy spend studying?

1 answer:

PSYCHO15rus [73]3 years ago

7 0

Answer:

1 1/3

Step-by-step explanation:

Randy studied for the same amount of time so it would be the same answer im not sure if I'm correct but hope this helps

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the equation of a circle in general form is x squared + y squared + 20x + 12 y + 15 equals 0what is the equation of the circle i

Marrrta [24]

Answer: $(x+10)^2+(y+6)^2=121$

Step-by-step explanation:

The equation of a circle in the general form is:

$ax^{2}+by^2+cx+dy+e=0$

The equaton of a circle in standard form is:

$(x-h)^2+(y-k)^2=r^2$

Where the center is at <em>(h, k)</em> and <em>r</em> is the radius

To write the equation of a circle from general form to standard form, you must complete the squaare, as you can see below:

1- Given the equation in general form:

$x^{2}+y^2+20x+12y+15=0$

2- Complete the square:

-Group the like terms and move the constant to the other side.

- Complete the square on the left side of the equation.

- Add the same value to the other side.

Then you obtain:

$(x^{2}+20x)+(y^2+12y)=-15\\(x^2+20x+(\frac{20}{2})^2)+(y^2+12y+(\frac{12}{2})^2)=-15+(\frac{20}{2})^2+(\frac{12}{2})^2\\\\(x+10)^2+(y+6)^2=-15+100+36\\(x+10)^2+(y+6)^2=121$

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The function f(x) is graphed on the coordinate plane.

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Step-by-step explanation:

Fro the graph attached,

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As we can find from the graph at the input value x = -4, output value of the function is f(-4) = 4

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The number 20<span> is a composite number so, it is possible to factorize it. In other words, 20 can be divided by 1, by itself and at least by 2 and 5. A composite number is a positive integer that has at least one positive divisor other than one or the number itself. In other words, a composite number is any integer greater than one that is not a prime number.</span>

<span>The prime factorization of </span>20<span> = 2</span>2•5.

<span>The prime factors of </span>20<span> are 2 and 5.</span>

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