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3 years ago

What is the standard equation of the circle in the diagram? ^

Mathematics

1 answer:

den301095 [7]3 years ago

5 0

Answer:

$(x - 3)^{2} + (y + 4)^{2} = 4$

Step-by-step explanation:

Center is at (3, -4) and the radius is 2

$(x - 3)^{2} + (y + 4)^{2} = 4$

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The coordinates of the 3 of the vértices of a parallelogram are (-7, 3), (-6, 1), and (-4, 5). What is the equation for the line

Natali [406]

We know, opposite sides are parallelogram is parallel, therefore slopes are equal.

Slope of line one :

$m=\dfrac{-7-(-6)}{3-1}\\\\m =\dfrac{-1}{2}\\\\m= -0.5$

So, equation of other line passing through (-4,5) and have slope of -0.5 is :

y-5 = -0.5( x-(-4))

y-5 = -0.5x - 2

y + 1/2x = 3

2y + x = 6

Therefore, equation of line containing the (-4, 5) is 2y + x = 6.

Hence, this is the required solution.

6 0

3 years ago

Max and his friend zeke are comparing their ages. they figure out that if they double maxs age from 3 years ago and add it to ze

chubhunter [2.5K]

The first step of solving this problem is to find your x, which is the unknown number. The unknown number is the age of Max. Once you find the x you can write out your equation.

The equation for this problem is:

2x+8=26

the first step is to subtract 8 from both sides so that all you have on the left side is 2x and your equation will look like ths:

2x=18

after subtracting the 8; divide everything by the coefficient of x which is 2, your result is:

x=9

Max is 9 years old.

7 0

4 years ago

Read 2 more answers

Which correctly uses bar notation to represent the repeating decimal

ioda

Answer:

2nd one..

Step-by-step explanation:

but although all are wrongmm barnotation is not used

6 0

4 years ago

Determine the equations of the vertical and horizontal asymptotes, if any, for g(x)=x-2/x^2+4x+3

KatRina [158]

Answer:

Step-by-step explanation:

$g(x)=\dfrac{x-2}{x^2+4x+3}\\\\vertical\ asymptote:\\\\x^2+4x+3=0\\x^2+x+3x+3=0\\x(x+1)+3(x+1)=0\\(x+1)(x+3)=0\iff x+1=0\ \vee\ x+3=0\\\\\boxed{x=-1\ \vee\ x=-3}\\\\horizontal\ asymptote:\\\\\lim\limits_{x\to\pm\infty}\dfrac{x-2}{x^2+4x+3}=\lim\limits_{x\to\pm\infty}\dfrac{x^2\left(\frac{1}{x}-\frac{2}{x^2}\right)}{x^2\left(1+\frac{4}{x}+\frac{3}{x^2}\right)}=\lim\limits_{x\to\pm\infty}\dfrac{\frac{1}{x}-\frac{2}{x^2}}{1+\frac{4}{x}+\frac{3}{x^2}}=\dfrac{0}{1}=0\\\\\boxed{y=0}$

4 0

4 years ago

How do I convert 75 feet/second to miles/hour rounding to the nearest whole number

MAVERICK [17]

Answer:

51 miles/hour is the conversion of 75 feet/second rounding to nearest whole number.

Step-by-step explanation:

Given:

75 feet/second.

Now, to convert 75 feet/second into miles/hour.

So, to convert we divide the value of feet per second by conversion factor to get miles per hour.

Value of feet per second = 75.

Conversion factor = 1.4667.

Now, putting the formula to get the value in miles/hour:

Value in miles/hour = value of feet/second ÷ conversion factor.

Value in miles/hour = $75\div 1.4667.$

= $51.135\ miles/hour.$

<em>Rounding nearest to whole number = 51 miles/hour.</em>

Therefore, 51 miles/hour is the conversion of 75 feet/second rounding to nearest whole number.

6 0

4 years ago