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3 years ago

Which defines a circle

1 answer:

4 0

Circle is the locus of points equidistant from a given point, the center of the circle. The common distance from the center of the circle to its points is called radius. Thus a circle is completely defined by its center (O) and radius (R): C(O, R) = O(R) = {x: dist(O, x) = R}.
Easier explanation: A circle is a plane figure contained by one line such that all the straight lines falling upon it from one point among those lying within the figure are equal to one another.

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Please explain step by step worth 20 points

ankoles [38]

Multipy $275 by the 4.5%
4.5%=.045 (just move the decimal 2 places left)
275*.045= 12.375 Susan gets $12.375 a year (don't round yet)
Multiply $12.375 by 5years 12.375*5= 61.875 (now round)
$61.90=B
I hope this helps! :)

5 0

4 years ago

Select the correct answer from each drop-down menu.

serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: $(x-4)^2+(y-8)^2=6.25$

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

The center is at; $(\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)$

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r=\sqrt{(4-4)^2+(10.5-8)^2}$

$r=\sqrt{0^2+(2.5)^2}$

$r=\sqrt{0^2+(2.5)^2}=2.5$

The equation of the circle in standard form is given by;

$(x-h)^2+(y-k)^2=r^2$

We substitute the center and the radius into the formula to get;

$(x-4)^2+(y-8)^2=2.5^2$

$(x-4)^2+(y-8)^2=6.25$

6 0

3 years ago

If the radius of a circle is twice as great as

slava [35]

Answer:

how many times larger? 4 times as large

Step-by-step explanation:

if the radius is half as big as the diameter and the diameter is half of the area

r x r = d

d x d = a

5 0

3 years ago

Can you put these in order (picture shown)

Svet_ta [14]

0.1/2.1 I hope that helps

6 0

3 years ago

Which of the following is correct equation for the trend line in the scatter plot? A. Y= 2/5 x -2 B. Y= 5x-1 C. Y= 5x +5 D. Y= -

Dafna11 [192]

Answer: C. Y = 5x + 5

Step-by-step explanation:

We need to write, or decide on, the equation for the blue line as this line represents the trend line for this scatter plot. We will write this in slope-intercept form. See attached for a visual.

First, we will find our slope. We will use $\frac{rise}{run}$ for this since we have a graph with clear points. See attached, we count up [5] and then count to the right [1] for a slope of 5.

-> Slope = 5

Now, we will find our y-intercept. This is where the line intersects the y-axis. The line hits the y-axis at point (0, 5) giving us a y-intercept of 5.

-> Y-intercept = 5

Lastly, we will write our equation and decide on an answer.

y = mx + b

y = (5)x + (5)

Y = 5x + 5

C. Y = 5x + 5

4 0

2 years ago