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2 years ago

Equation of a Circle: Mastery Test

Mathematics

1 answer:

xenn [34]2 years ago

7 0

Answer:

(x-1)^2+(y+1)^2=3

Step-by-step explanation:

x² + y2 - 2x + 2y - 1 = 0

add the 1 to get it to the other side of the equation

x² + y2 - 2x + 2y = +1

group the x's and y's

(x² -2x) + (y2+2y) = +1

then you'll complete the square on the -2x and + 2y. that just means divide by two and then raise it to the 2nd power.

so (-2/2)^2 and (+2/2)^2

(x²-2x+1)+(y2+2y+1) = 1+1+1

you add the one's to the other side because whatever is done to one side must be done to the other

you'll then need to factor again.

(x-1)^2+(y+1)^2=3

to factor it take one of your squared x's, the sign of the middle term within the parentheses , then the square root of the last term within the parentheses. remeber to put your ^2 (raised to the 2nd power) outside of the parentheses when you finish.

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A candle is 10 in. tall after burning for 2 hours. After 3 hours, it is 8 1/2 in. tall. a. Write a linear equation to model the

GrogVix [38]

The candle was 13 inches tall when it was first lit. It burns at a speed of 1.5 in. every hour. After burning for 6 hours it will be 4 inches tall.

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2 years ago

heather has divided $6300 between two invesments, one paying 9%, the other paying 4%. If the return on her investment is $372, h

Ganezh [65]

Assuming that the two investments are X & Y
X + Y = 6300
X = 6300 - Y (1)

9/100X + 4/100 Y = 372 (2)
replacing X from (1) into (2)
9/100(6300-Y) + 4/100 Y = 372
567 - 9/100Y +4/100Y = 372
(-9+4)/100Y = 372 - 567
5/100Y = -195
Y = 100*195/5 = 3900
From (1) we can get X
X = 6300 - 3900 = 2400

I hope this is helpful

6 0

2 years ago

6 • 14 - (9 + 8) 2 =

Nataly [62]

Answer:

Step-by-step explanation:

For this question you would follow the BIDMAS rule - (Brackets, Indices, Division, Multiplication, Addition, Subtraction.)

The first thing in this question you need to solve it (9 + 8)

we do this because, when we follow BIDMAS, the first rule is brackets

so, 9 + 8 = 17

The second step is to multiply, as this rule is second,

so, 17 x 2 = 34

Our final step is to solve the last bit, which is 6 x 14

and we know that 6 x 14 = 84

So now that we have 84 and 34, we need to subtract the two numbers as shown,

84 - 34 = 50

And this is how you get the answer 50

i hope this has helped you, please comment if you did not understand it and i will explain it in another way : )

4 0

3 years ago

Read 2 more answers

Iam a number less then 3000. When u divide me by 32 my remainder is 30. When u divide me by 58 my remainder is 44. What number a

forsale [732]

32a+30=YOU,
58b+44=YOU, a,b and YOU are integers; YOU<3000.

YOU can be 798, 1726, or 2654.

Download pdf

4 0

3 years ago

Which fraction has the value that's equal to 3/4

mamaluj [8]

One of the fractions that’s equal to $\frac{3}{4}$ is $\frac{12}{16}$

<u>Solution:</u>

Given that , we have to find fractions which has the same value as that of the fraction $\frac{3}{4}$

Now, we know that, there are several fractions with values equal to $\frac{3}{4}$

To find them, just multiply the numerator and denominator by the same number.

$\begin{array}{l}{3 \times 2=6} \\\\ {4 \times 2=8}\end{array}$

Therefore, $\frac{6}{8}$ is equal to $\frac{3}{4}$

We can do the same with 4, to get $\frac{12}{16}$ , or any other number beyond that.

Hence, one of the fractions that’s equal to $\frac{3}{4}$ is $\frac{12}{16}$

4 0

2 years ago