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3 years ago

10

Using the digits 1 to 5, at most one time each, fill in the boxes to create an expression with the largest possible value. PLEAS

E ANSWER NOW!

1 answer:

podryga [215]3 years ago

7 0

7 to the 6 power + 8 x 9 = 299,096,375,126,481

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If (8, −9) and (6, −3) are the endpoints of the diameter of a circle, what is the equation of the circle?

Umnica [9.8K]

$(x-7)^{2} + (y+6)^{2} = 10$ is the equation of the required circle.

Step-by-step explanation:

Step 1 :

Let A = (8,-9) and B = (6,-3) be the endpoints of the diameter of the given circle.

We need to determine the circle's equation with this diameter

Step 2 :

The mid point of the diameter will be center of the required circle.

Let M = (x,y) be the mid point of the circle.

So we have x = (8+6)÷ 2 , y = ((-9) + (-3)) ÷ 2

M = ( 7, -6) is the midpoint of the diameter and the center of the circle.

Step 3 :

The radius of the circle is distance between midpoint and any one of the end point of the diameter that is distance between point A(8,-9) and M ( 7,-6)

Distance between the 2 points $(x_{1} ,y_{1}) and (x_{2} ,y_{2})$ is given by

$\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2} }$

So distance between A(8,-9) and M ( 7,-6) = $\sqrt{(7-8)^{2}+ (-6-(-9))^{2} }$

= $\sqrt{(1)^{2}+ (3)^{2} } = \sqrt{10 }$

Hence the radius r is $\sqrt{10}$

Step 4 :

The equation of circle with center (a,b) = (7,-6) and radius r = $\sqrt{10}$ is given by

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

=> $(x-7)^{2} + (y-(-6))^{2} = (\sqrt{10} )^{2}$

=> $(x-7)^{2} + (y+6)^{2} = 10$ is equation of the required circle.

Step 5 :

Answer :

$(x-7)^{2} + (y+6)^{2} = 10$ is equation of the required circle.

7 0

3 years ago

Graph y=-3x+4<br> Please Help

pav-90 [236]

Answer:

(-2,10)

(-1,7)

(0,4)

(1,1)

(2,-2)

(3,-5)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A cab company charges $2 per cab ride, plus an additional $2 per mile driven. How long is a cab ride that costs $100.

FromTheMoon [43]

Answer:

Should be 49 miles.

Step-by-step explanation:

$100 - the $2 for the ride = $98

$98 / the $2 per mile = <em>49 miles.</em>

7 0

3 years ago

Read 2 more answers

140 fluid ounces increased by 45%

Stels [109]

Hello!

"Increase" means to add. We must find out what 45% of 140 fluid ounces is, and to do that we must first convert the percentage to a decimal and then multiply it by the amount of fluid ounces.

I know, that's probably a lot to take in! :D

45% ÷ 100 = 0.45 as a decimal

0.45 × 140 = 63

Add this to the amount of fluid ounces:

140 + 63 = 203

Final Answer:

203 fluid ounces.

5 0

3 years ago

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Ben claims that 12 is a factor of 24.how can you check whether he is correct?

Anna71 [15]

Divide the 24 by Ben's 12 .

If his 12 is a factor, then the division will come out even,
and the answer will be a whole number.

A). 6 x 4 = 24

B). 5 x 9 = 45

C). 3 x 8 = 24

D). 6 x 9 = 54

8 0

3 years ago