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3 years ago

What is value of the underlined digit 625

1 answer:

6 0

Sadly, nothing is underlined.

-- The value of the 6 is six hundred.

-- The value of the 2 is twenty.

-- The value of the 5 is five.

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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

3 years ago

Helppppp pleaseeee!!!!!!

maks197457 [2]

I got 3.825

your equation would be
(2x-1)(x+7)=72

when you distribute youd get
2x^2 +13x -7 =72

move the 72 over giving you
2x^2 +13x -79=0

i used the quadratic formula and the answer would be 3.825 because a negative answer wouldn’t make sense in this situation

5 0

3 years ago

What would the equation be for the points (0,-2) and (2,6) be? (SLOPE INTERCEPT FORM y=mx+b)

Paladinen [302]

Answer:

Slope m=4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

We have A(0,-2)->x1=0, y1=-2

B(2,6)->x2=2, y2=6

7 0

2 years ago

Some more free-points education is important

makkiz [27]

Answer:

Thank you for the free-points!!! <3

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Sal was tired of waiting for Amir to show up at their meeting place, so he started running at an average speed of 4.5 mph withou

sergiy2304 [10]

A=-.25+6.7t, s=.75+4.5t when Amir catches up a=s so:

-.25+6.7t=.75+4.5t add .25 to both sides

6.7t=1+4.5t subtract 4.5t from both sides

2.2t=1 divide both sides by 2.2

t=10/22 hr

t≈0.45 hr (to nearest hundredth)

4 0

3 years ago

Read 2 more answers