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2 years ago

Write the equation of this circle in standard form. A) (x - 2)2 + (y - 3)2 = 4

Mathematics

1 answer:

Vika [28.1K]2 years ago

8 0

Answer:

$x^2 + y^2 -4x -6y + 9 = 0$

Step-by-step explanation:

To write a circle in standard form, expand the equation of the circle and move all terms to one side.

$(x-2)^2 + (y-3)^2 = 4\\x^2 -4x + 4 + y^2 -6y + 9 = 4\\x^2 +y^2 - 4x - 6y + 13 = 4\\x^2 + y^2 -4x -6y + 9 = 0$

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Jordan will hike the trail shown at a rate of mi/h. Write a linear equation to represent the distance Jordan still has to walk

agasfer [191]

Answer:

y = (-mi/h)x + b

y = total distance left to cover

-mi/h = speed at wich he is covering ground

b = the total distance to cover from start to finish

Step-by-step explanation:

Slope Intercept form without other variables filled is shown like this with mx being the slope and b being the y intercept

y = mx + b

all we need to do is fill in known variables with hours multiplied by x represented as m...

y = (-mi/h)x + b

note the negative symbol, this shows that the higher that miles an hour (mi/h) aka speed is, the more distance he will cover REDUCING the distance to cover faster meaning the line will slope DOWNWARD

b would be the the total distance that he has started with, meaning on the point where the line crosses the y axis, the number it crosses at will represent how much he has started with

7 0

2 years ago

If a = 5^x, b = 5^y and a^y×b^x = 25 then prove that: xy =1

avanturin [10]

$a = {5}^{x} \\ b = {5}^{y} \\ {a}^{y} \times {b}^{y} = 25 \\ prove \: ( {5}^{x} )^{y} \times ( {5}^{y} ) ^{x} = 25 \\ {5}^{xy} \times {5}^{yx} = {5}^{2} \\ {5 }^{xy + yx} = 5^{2} \\ 5^{2xy} = {5}^{2} \\ is \: \: 2xy = 2 \\ xy = \frac{2}{2} \\ xy = 1$

3 0

3 years ago

How are percents greater than 100 used in real world contexts

Paul [167]

Used show you have more than what is needed. Example is you need 6 slices of pizza for all your friends but have 7 slices you have more than is needed.

3 0

2 years ago

Solve the system of equations. x+2y=0 6y= - 3x

Alborosie

Answer:

Infinitely Many Solutions.

Step-by-step explanation:

x+2y=0

6y=-3x

y=-3/6x

y=-1/2x

x+2(-1/2x)=0

x-2/2x=0

x-x=0

0=0

infinitely many solutions

8 0

2 years ago

What are the slope and the y-intercept of the linear function that is represented by the equation y= -10x+1

Alex73 [517]

M is the slope and b is the y-intercept in the form
.. y = mx +b
You have
.. y = -10x +1
Matching patterns, you see that
.. m = -10
.. b = 1

The slope is -10
The y-intercept is 1

4 0

3 years ago

Read 2 more answers