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Vladimir [108]
4 years ago
5

Convert to standard circle form

d="TexFormula1" title=" x^{2} +y ^{2} -6x-4y-12=0 " alt=" x^{2} +y ^{2} -6x-4y-12=0 " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
DIA [1.3K]4 years ago
7 0
x^2 + y^2 - 6x - 4y - 12 = 0
x^2 - 6x + y^2 - 4y = 12
x^2 - 6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4
(x - 3)^2 + (y - 2)^2 = 25
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A store owner spends 7x + 13 dollars on two orders of boxes of light bulbs, including shipping.
Alex Ar [27]

Answer:

B = 4x + 8

A box = $11

Step-by-step explanation:

Given

Total = 7x + 13

Represent the first order with A and the second with B.

So, we have:

A = 3x + 5

Solving (a): Find B.

To find B, we make use of:

A + B = Total

Make B the subject

B = Total - A

Substitute values for Total and A

B = 7x + 13 - (3x + 5)

Open bracket

B = 7x + 13 - 3x - 5

Collect Like Terms

B = 7x - 3x + 13 - 5

B = 4x + 8

Solving (b): Cost of a box of light bulb

This means that:

Total = 90

Substitute 7x + 13 for Total

7x + 13 = 90

Collect Like Terms

7x = 90 - 13

7x = 77

Make x the subject

x = \frac{77}{7}

x = 11

6 0
4 years ago
How do I find x and y using what is in the equation
Tatiana [17]

y is part of a right angle on line AB

 a right angle = 90 degrees

 90-47 = 43 degrees

y = 43 degrees

a straight line = 180 degrees

180-47 = 133 degrees

 x = 133 degrees

5 0
3 years ago
Heller Co. incurred the following costs in 2005:
professor190 [17]

Answer:

D

Step-by-step explanation:

Wee have research and development costs:

$150,000  +  $185,000 = $335,000  +  $125,000  =TOTAL  $460,000

Testing for evaluation of new products can be considered since these new products are results from the research and development done by Heller Co.

3 0
3 years ago
Carl has a piece of toast that has jelly on one side, and he dropped it twice. Both times, it landed with the jelly side up. If
Arlecino [84]
Carl has two more flips and we want to know the probability that one and only of those times it will be jelly side up. assuming the basic head and tails probability each flip we have 4 possible;e outcomes: Plain side Plain side, Plain side Jelly side, jelly side Plain side and jelly side jelly side and 2 of those four give us the one P wanted, so 2/4 = 50% probability. 
6 0
4 years ago
Read 2 more answers
Mr.Chen left $45,000 to his aunt when he died. This was 5% of his total worth. a) how much was Mr.Chen worth when he died? Show
marysya [2.9K]

A) Mr Chen was worth:

45,000/5 = 9,000

9,000 x 100 = 900,000

The answer is 900,00

You can also write this as an equation.

3 0
3 years ago
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