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Murljashka [212]
2 years ago
11

X ^ 2 + y ^ 2 + 6y - 67 = 2y - 6x; circumference

Mathematics
1 answer:
garri49 [273]2 years ago
7 0

Answer:

(x+3)^2+(y+2)^2=80

Step-by-step explanation:

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You have a gross income of $117,151 and are filing your tax return singly. You claim one exemption and can take a deduction of $
uysha [10]
We are given the following
<span>gross income = $117,151
$2,713 = interest on mortgage
$2,791 = business losses
$1,346 = alimony,
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$1,091 for contributions to retirement fund.

</span><span> standard deduction for a single filer = $5,700
exemptions = $3,650 </span>each worth 

Adding all the deductions and subtracting it to the gross amount will give us
<span>b. $9,350</span>
7 0
3 years ago
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Need this for tomorrow thanks
Nastasia [14]
#31
= - 8/-8
= 1

#32
= 28/7
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6 0
3 years ago
If zeba were younger by 5 years than what she really is then the square of her age would have been 11 more than five times her a
RSB [31]

Answer:

14 years old

Step-by-step explanation:

<u>Define the variable</u>

Let x be the actual age of Zeba (in years).

<u>Create an equation</u> using the give information and the variable x:

(x - 5)^2=5x+11

To find Zeba's age now, <u>solve the equation for x</u>.

Expand the brackets:

\implies x^2-10x+25=5x+11

Subtract 5x from both sides:

\implies x^2-10x+25-5x=5x+11-5x

\implies x^2-15x+25=11

Subtract 11 from both sides:

\implies x^2-15x+25-11=11-11

\implies x^2-15x+14=0

<u>Factor the found quadratic</u>

To factor a quadratic in the form ax^2+bx+c<em>, </em>find two numbers that multiply to ac and sum to b, then rewrite b as the sum of these two numbers:

\implies x^2-14x-x+14=0

Factor the first two terms and the last two terms separately:

\implies x(x-14)-1(x-14)=0

Factor out the common term (x - 14):

\implies (x-1)(x-14)=0

Apply the <u>zero product property</u>:

\implies (x-1)=0 \implies x=1

\implies (x-14)=0 \implies x=14

Therefore, Zeba's age now is either 1 or 14 years.

As the question states "If Zeba were younger by 5 years" then 1 must be an <u>extraneous solution</u> since 1 - 5 = -4 and Zeba cannot be -4 years old.

Therefore, Zeba's age now is 14 years old.

<u>Check</u>

Given the actual age of Zeba is 14 years old.

Therefore, If Zeba were younger by 5 years, she would be 9 years old as:  14 - 5 = 9

The square of 9 is:  9² = 81.

5 times her actual age:  5 × 14 = 70

81 is 11 more than 70, hence verifying that her <u>actual age is 14 years old</u>.

Learn more about quadratic equations here:

brainly.com/question/27956741

brainly.com/question/27947331

5 0
1 year ago
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Can someone help me out with this?
Tanya [424]

Answer:thats a triangle

Step-by-step explanation:

5 0
3 years ago
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4. An amusement park developed a program for local fifth grade students to study the
Lesechka [4]

Answer:

A 1460

Step-by-step explanation:

Suppose that it is 185 students multiplied by 14 school districts.

ie 185*14=2590

4050-2590= 1460

5 0
3 years ago
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