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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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Question 7 of 10<br> Choose two statements that are true for this expression.<br> 6r³ − 8x² - 40 +21
crimeas [40]

Based on the given parameters, bhe true statements are: the expression has four terms, and the term -40/y is a ratio.

<h3>How to determine the true statements?</h3>

The expression is given as:

6x^3 - 8x^2 - 40/y + 21

The above expression has four terms, and the terms are:

6x^3, - 8x^2,- 40/y and 21

Also, the term -40/y is a ratio

This is so because it is a quotient of two numbers

Hence, the true statements are: the expression has four terms, and the term -40/y is a ratio, based on the given parameters

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Step-by-step explanation:

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6 0
3 years ago
Can someone plz help me with this equation this is hard
nikdorinn [45]

Answer:

5x - 4 = 11

Step-by-step explanation:

4 less than 5 times a number equals 11

5 times a number minus 4 equals 11

(5*x) - 4 = 11

I hope this helps!!!

5 0
3 years ago
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Eric was rock climbing. At one point, he stopped and climbed straight down 2\dfrac{1}{2}2
nikitadnepr [17]

The equation that matches the given situation is -2\frac{1}{2}+6\frac{3}{4}=? . So, after two moves, Eric's elevation changed 4\frac{1}{4} meters above.

We know that in mathematics, subtraction means removing something from a group or a number of things. What is left in the group gets smaller when we subtract. The minuend is the first element we use. The subtrahend is the part that is being removed. The difference is the portion that remains after subtraction.

Assume that "negative" means climbing down and "positive" means climbing up. We must locate the elevation change in this area.

Given that Eric climbed straight down 2\frac{1}{2} meters. So we can write -2\frac{1}{2}.

Again Eric climbed straight up 6\frac{3}{4} meters. So, we can write 6\frac{3}{4}.

Then the change = -2\frac{1}{2}+6\frac{3}{4}

=-\frac{(2*2+1)}{2}+\frac{6*4+3}{4}

=-\frac{5}{2} +\frac{27}{4}

=\frac{-(5*2)+27}{4}

=\frac{-10+27}{4}

=\frac{17}{4}

=\frac{4*4+1}{4}

=4\frac{1}{4}

Therefore, the equation that matches the given situation is -2\frac{1}{2}+6\frac{3}{4}=? . So, after two moves, Eric's elevation changed 4\frac{1}{4} meters above.

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7 0
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solong [7]

Answer:

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Step-by-step explanation:

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