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KonstantinChe [14]
1 year ago
11

Convert the following Standard Form equation to an equation in General For (x-7)^2 + (y + 3)^2 = 49​

Mathematics
2 answers:
S_A_V [24]1 year ago
7 0

Answer:

x² + y² - 14x + 6y + 9 = 0

Step-by-step explanation:

the equation of a circle in general form is

x² + y² + 2gx + 2fy + c = 0

given

(x - 7)² + (y + 3)² = 49 ← expand factors using FOIL

x² - 14x + 49 + y² + 6y + 9 = 49 , that is

x² + y² - 14x + 6y + 58 = 49 ( subtract 49 from both sides )

x² + y²- 14x + 6y + 9 = 0 ← in general form

Harman [31]1 year ago
4 0

Answer:

x+y=11

Step-by-step explanation:

take the square root of both sides.

(x-7) + (y+3) = 7

collect like terms

x+y = 7+7-3

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Paladinen [302]
When you divide two fractions, you're actually multiplying one of them by the reciprocal of the other. First, find the reciprocal of the second fraction by flipping it upside down. Then, multiply it by the first fraction. (Numerator x numerator and denominator x denominator)

\frac{-7}{12} ÷ \frac{2}{3}   Replace the second fraction with it's reciprocal
\frac{-7}{12} x \frac{3}{2}   Multiply (-7 x 3 and 12 x 2)
\frac{-21}{24} Both 21 and 24 are divisible by three, so divide them by 3
\frac{-7}{8}
6 0
2 years ago
the forecast calls for a 30% chance of snow today and a 40% chance of snow tomorrow. what are the chances it will rain two days
egoroff_w [7]

Answer:

The chances it will rain two days in a row is 12%

Step-by-step explanation:

The forecast calls for a 30% chance of snow today

So, chance of snowfall today = 30% = 0.3

A 40% chance of snow tomorrow.

So, chance of snowfall tomorrow= 40% = 0.4

The chances it will rain two days in a row = 0.4  \times 0.3

                                                                    = 0.12  

So, percent  it will rain two days in a row = 0.12 \times 100 = 12\%

Hence the chances it will rain two days in a row is 12%

7 0
3 years ago
The width of the rectangle is 0.6 meters less than the length. The perimeter of a rectangle is 60.8 meters. Find the dimensions
Anvisha [2.4K]

Answer:

14+=+2L+%2B+2%28L-3%29 Simplify and solve for L

14+=+2L+%2B+2L+-+6 Combine like-terms.

14+=+4L-6 Add 6 to both sides.

20+=+4L Divide both sides by 4.

5+=+L The length is 5 meters.

W+=+L-3

W+=+5-3

W+=+2meters.

The width is 2 meters.

P+=+2L%2B2W

P+=+2%285%29%2B2%282%29

P+=+10%2B4

P+=+14meters.

Step-by-step explanation:

4 0
2 years ago
What is the domain of the ordered pair shown in the graph?
Margaret [11]

Answer:

D.

Step-by-step explanation:

It is the only one that contains all the x-values of the points. (Domain is the set of x-values).

6 0
1 year ago
Solve the equation<br> 7h-5(3h-8) = 72
frosja888 [35]

Answer:

h = -4

Step-by-step explanation:

7h-5(3h-8) = 72

Distribute

7h - 15h +40 = 72

Combine like terms

-8h +40 = 72

Subtract 40 from each side

-8h+40-40 = 72-40

-8h = 32

Divide each side by -8

-8h/-8 = -32/-8

h = -4

3 0
3 years ago
Read 2 more answers
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