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3 years ago

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Equation of a Circle: Mastery Test

1 answer:

xenn [34]3 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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Kay [80]

Going by the information given above, Laura is most likely going to belong to the tax bracket where the rate payable is 12%. This is because she is a single filer and her income is between $10,276 and $41,775.

<h3>What is a tax bracket?</h3>

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6 0

2 years ago

If x < 5, then which of the following must be true? - x < 5 - x > -5 - x > 5 - x < -5

Nat2105 [25]

Answer:

-x > -5

Step-by-step explanation:

Let's start with a positive number less than 5.

4<5

likewise when applied to -x> -5

-4>-5

4 0

3 years ago

Jamie is buying 5 concert tickets, and he wants his total cost to be no more than $4 Above or below $80. Which inequality models

kumpel [21]

Answer:

Option C $\left|80-5x\right|\le 4$

Step-by-step explanation:

Let

x ----> the cost of the concert ticket

we know that

The total cost to be no more than $4 Above $80

so

$5x\leq 80+4$

Solve for x

$x\leq \$16.80$

The total cost to be no more than $4 below $80

so

$5x\geq 80-4$

Solve for x

$5x\geq 76$

$x\geq \$15.2$

therefore

The inequality that represent this problem is

$\left|5x-80\right|\le 4$

<u><em>Verify</em></u>

<em>First solution (positive case</em>)

$+(5x-80)\le 4$

$5x\le 80+4$

Solve for x

$x\leq \$16.80$ ----> is ok

<em>Second solution (negative case)</em>

$-(5x-80)\le 4$

Multiply by -1 both sides

$(5x-80)\ge -4$

$5x\geq 80-4$

Solve for x

$5x\geq 76$

$x\geq \$15.2$ ---> is ok

Remember that

$\left|5x-80\right|\le 4$ is equivalent to $\left|80-5x\right|\le 4$

Because is a absolute value

8 0

3 years ago

Factor completely. n^2 + 7n - 44

4vir4ik [10]

(n+11)(n-4) is your answer

4 0

3 years ago

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F(x) = 2x – 1 g(x) = 7x – 12 What is h(x) = f(x) + g(x)?

WINSTONCH [101]

Answer:

<h2><em>h</em><em>(</em><em>x</em><em>)</em><em>=</em><em>9</em><em>x</em><em>-</em><em>1</em><em>3</em></h2>

<em>Sol</em><em>ution</em><em>,</em>

<em> $h(x) = f(x) + g(x) \\ \: \: \: \: \: \: \: = 2x - 1 + 7x - 12 \\ \: \: \: \: \: \: = 2x + 7x - 1 - 12 \\ \: \: \: \: \: \: = 9x - 13$ </em>

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>

4 0

3 years ago

Read 2 more answers