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3 years ago

9

To find the standard equation for a circle centered at the origin, we use the distance formula, since the radius measures?

2 answers:

Mrac [35]3 years ago

3 0

The distance from any point on the circle to the origin

____ [38]3 years ago

3 0

Answer: The answer is (a). the distance from any point in the circle to the origin.

Step-by-step explanation: We know that to find the standard equation of a circle centred at the origin, we always use the distance formula. We are to select the correct measurement for the radius from the options given.

In a circle, as shown in the attached figure, the radius 'r' is the distance from any point 'P' on the circle to the centre 'O' of the circle. The centre of the circle in standard form is usually the origin.

So, we can say that radius measures the distance from any point on the circle to the origin.

Thus, (a) is the correct option.

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Two of the vertices of a rectangle are (1, −6) and (−8, −6). If the rectangle has a perimeter of 26 units, what are the coordina

pantera1 [17]

Answer: $(x_1,y_1)=(1,-2)$

$(x_2,y_2)=(-8,-2)$

Step-by-step explanation:

Given

Co ordinates of vertices(1,-6) and (-8,-6)

When two points is given then Length of two points is given by

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

$L=\sqrt{\left ( 1-\left ( -8\right )\right )^2+\left ( -6+6\right )^2}$

$L=\sqrt{9^2}=9 units$

Perimeter of rectangle is =26 units

Let the other side be x

thus

$2\left ( x+9\right )=26$

x+9=13

x=4 units

therefore to get the other two co ordinates

such that the length of that side is 4 units is

$(x_1,y_1)=(1,-2)$

$(x_2,y_2)=(-8,-2)$

Horizontal distance will remain same only vertical distance will change in given co ordinates to obtain the remaining two co ordinates

To verify the above two distance between two points must be 13 units

6 0

3 years ago

Determine the slope and y-intercept of the line y=-6x+8

andrezito [222]

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

In this case:

m = -6

b = 8

This means that -6 is the slope and (0, 8) is the y-intercept.

Hope this helped!

~Just a girl in love with Shawn Mendes

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3 years ago

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Question 4 <br> Use the figure below to find the value of x and y

Tpy6a [65]

Answer:

$x=4, y=8$

Step-by-step explanation:

step 1

Find the value of y

we know that

In the right triangle of the figure

$cos(30\°)=\frac{4\sqrt{3}}{y}$

Remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

so

$\frac{\sqrt{3}}{2}=\frac{4\sqrt{3}}{y}$

Simplify

$y=8\ units$

step 2

Find the value of x

In the right triangle of the figure

$sin(30\°)=\frac{x}{8}$

Remember that

$sin(30\°)=\frac{1}{2}$

so

$\frac{1}{2}=\frac{x}{8}$

$x=4\ units$

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3 years ago

What is 15 minutes later than 2:50

blsea [12.9K]

Answer:

3:05

I hope this helps

Step-by-step explanation:

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3 years ago

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Mr and mrs Lim took their 2 children to the bird park.An adult ticket cost 4 times as much as a child’s ticket.Mr Lim paid a tot

Vinil7 [7]

c = unknown

a = 4c

120 = 2a + 2c

120 = 2(4c) + 2c

120 = 8c + 2c

120 = 10c

120/10 = 10c/10

c = 12

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3 years ago

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