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fgiga [73]
4 years ago
6

Which equation represents a circle?

Mathematics
1 answer:
vova2212 [387]4 years ago
3 0

Answer:

C

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ← r is the radius

Consider

\frac{x^2}{2^2} + \frac{y^2}{2^2} = 1, that is

\frac{x^2}{4} + \frac{y^2}{4} = 1

Multiply through by 4

x² + y² = 4 ← equation of circle

This is the equation of a circle centred at the origin with radius 2

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Solve the following system of equations. What is the y value of the solution?
Svet_ta [14]

Answer:

y = 2

Step-by-step explanation:

x + 5y - 10 = 0

X = 4y - 8

since x is given as = 4y - 8 we can use this in first equation

replace x with 4y - 8

x + 5y - 10 = 0 ➡ 4y - 8 + 5y - 10 = 0 add like terms

9y - 18 = 0 add 18 to both sides of the equation

9y = 18 divide both sides by 9

y = 2

6 0
4 years ago
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Is c²+d²=(c+d)(c-d)​
masya89 [10]

Answer:

c^{2} - d^{2} =(c+d)(c-d)  

6 0
3 years ago
F(x)=Tan^-1 (1)<br><br> PLEASE ANSWER! WILL GIVE BRAINLIEST
notka56 [123]

Answer:

−π

----

4

Step-by-step explanation:

Alright, archtan /

tan

−

1

(

x

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. Like the inverse of sin, the inverse of tan is also restricted to quadrants 1 and 4.

Knowing this we are solving for the inverse of tan -1. We are basically being asked the question what angle/radian does tan(-1) equal. Using the unit circle we can see that tan(1)= pi/4.

Since the "Odds and Evens Identity" states that tan(-x) = -tan(x). Tan(-1)= -pi/4.

Knowing that tan is negative in quadrants 2 and 4. the answer is in either of those two quadrants. BUT!!! since inverse of tan is restricted to quadrants 1 and 4 we are left with the only answer -pi/4.

5 0
3 years ago
Convert from Standard Form to Slope Intercept Form<br> 3x + 2y = 6
Ilia_Sergeevich [38]

Answer:

y = -3/2x + 3

General Formulas and Concepts:

<u>Algebra I</u>

Equality Properties

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Standard Form:   3x + 2y = 6

<u>Step 2: Find slope-intercept form</u>

  1. Subtract 3x on both sides:          2y = 6 - 3x
  2. Divide both sides by 2:                y = 3 - 3/2x
  3. Rewrite:                                         y = -3/2x + 3

And we have our final answer!

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3 years ago
What is the result when the number 87 is increased by 3.9%?
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