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Dmitry_Shevchenko [17]

3 years ago

10

Write the standard form of the equation of the circle with the given center and radius.

1 answer:

hoa [83]3 years ago

4 0

Answer:

make the standard form of the circle taking the negative values of the respective x,y coordinates of the centre and the radius

(x+6)^2+(y+8)^2=r^2

(x+6)^2+(y+8)^2=100

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Solve the quadratic equation 3x²-3x-1=0?<br>(by using the square method)

ohaa [14]

Answer:

x=1 and x=-1/3

Step-by-step explanation:

$3x^2-2x-1=0\\\\3(x^2-\frac{2}{3}x-\frac{1}{3})=0\\ \\3(x^2-\frac{2}{3}x-\frac{1}{3}+\frac{4}{9})=3(\frac{4}{9})\\ \\ 3(x^2-\frac{2}{3}x+\frac{1}{9})=\frac{4}{3}\\ \\ 3(x-\frac{1}{3})^2=\frac{4}{3}\\ \\(x-\frac{1}{3})^2=\frac{4}{9}\\ \\x-\frac{1}{3}=\pm\frac{2}{3}$

$x-\frac{1}{3}=\frac{2}{3}\\ \\x=\frac{3}{3}\\ \\x=1$

$x-\frac{1}{3}=-\frac{2}{3}\\ \\x=-\frac{1}{3}$

Therefore, x=1 and x=-1/3

8 0

2 years ago

(-6, -4); y = 1/3x +1

Sedbober [7]

Answer:

y=3x+14

Step-by-step explanation:

Well you already know that the slope is 3

parallel lines always have the same slope.

so then you plug in the point (-6,-4) into y=3x+b

-6 is x and -4 is y

-4=3(-6)+b

-4=-18+b

14=b

so your equation is y=3x+14

<em>Hope this helps :D</em>

5 0

3 years ago

What are the elements in this set? D={16,19,21} , E={16,18,19,20}

dimaraw [331]

D = {16, 19, 21}
E = {16, 18, 19, 20}
D ∩ E = {16, 19}

5 0

3 years ago

Find the geometric mean of 14 and 20.

Tom [10]

Answer:

16.73 to nearest hundredth.

Step-by-step explanation:

The geometric mean of x and y is √xy.

So out geometric mean is √(14*20)

= √280

= 16.7332

7 0

3 years ago

Write the equation of the line through the given points : <br> I need help please

Diano4ka-milaya [45]

Answer:

$y=-3x+5$

Step-by-step explanation:

The equation for slope is:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

We can substitute the given coordinates into the equation:

$Slope=\frac{3-0}{\frac{2}{3}-\frac{5}{3}}=\frac{3}{\frac{2-5}{3}}=\frac{3}{\frac{-3}{3}}=\frac{3}{-1}=-3$

The slope is -3

The equation for a line is:

$y=mx+b$

m: slope

b: y-intercept

x, y: (x, y) coordinate pair

Now, plug in the slope and one of the (x, y) coordinate pairs to solve for the y-intercept.

$y=mx+b\\y=-3x+b\\0=-3(\frac{5}{3})+b\\0=\frac{-15}{3}+b\\0=-5+b\\$Add 5 to both sides\\b=5$

Therefore the equation is:

$y=-3x+5$

6 0

2 years ago