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2 years ago

I need help please ????

Mathematics

1 answer:

Rudiy272 years ago

7 0

9514 1404 393

Answer:

see attached

Step-by-step explanation:

I like to use a spreadsheet for repetitive calculations. The distances are computed from the distance formula:

d = √((x2 -x1)^2 +(y2 -y1)^2)

The results are shown in the second attachment. The drawing in the first attachment has the lengths rounded to the nearest tenth.

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A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.

mario62 [17]

Answer:

$(x-7)^2+(y-5)^2=1$

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

Center of the circle:

The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)$

$(x_m, y_m) = (7,5)$

This is the center coordinate of our circle.

Radius:

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

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

$r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}$

$r = \sqrt{(6-7)^2+(5-5)^2}$

$r = \sqrt{1^2}$

$r = 1$

Equation of the circle:

The equation is written as:

$(x-a)^2+(y-b)^2=r^2$

here, (a,b) are the center points of the circle

in our case this is $(a,b)=(x_m,y_m)=(7,5)$

and r = 1

$(x-7)^2+(y-5)^2=1^2$

$(x-7)^2+(y-5)^2=1$

This is the equation of the circle!

3 0

2 years ago

Give B is the midpoint of AC, what is AC?

Savatey [412]

Answer:

$\fbox{27}$

Step-by-step explanation:

$4x+3=3x+9\\4x+3-3=3x+9-3\\4x=3x+6\\4x-3x=3x-3x+6\\x=6$

Plug in the 6 to the equations. Since B is the midpoint of AC, then both should be equal once plugged in [and solved].

$4(6)+3\\= 27\\3(6)+9\\= 27\\\\\fbox{27}$

8 0

2 years ago

1-2*6<13 Is this correct

LuckyWell [14K]

Answer:

yes that is correct

Step-by-step explanation:

1-2*6<13

1-(2*6)

1-12

-11<13

6 0

2 years ago

How do I find x in this problem?

torisob [31]

Answer:

(6-2)×180 = 720

101+154+72+123+145+x=720

595 + x = 720

x = 720-595

x= 125

5 0

2 years ago

How do you find the degree of a number without an exponent?? (56, x, etc.)

GaryK [48]

This is going to help you understand

ttps://www.mathsisfun.com/algebra/degree-expression.html

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2 years ago