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3 years ago

Can someone help please asap

Mathematics

1 answer:

ch4aika [34]3 years ago

3 0

Sn = (a1) x (1 - r^n) / (1 - r)

Substituting the known values:

S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27 = 8 24/27 = 8 8/9

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What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?

klemol [59]

Answer:

$(x-3)^{2} +(y-2)^{2}=41$

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$A(8,-2)\\E(-2,6)$

substitute the values

$d=\sqrt{(6+2)^{2}+(-2-8)^{2}}$

$d=\sqrt{(8)^{2}+(-10)^{2}}$

$d=\sqrt{164}\ units$

$d=2\sqrt{41}\ units$

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

$C=(\frac{8-2}{2},\frac{-2+6}{2})$

$C=(3,2)$

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

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

we have

(h,k)=(3,2)

$r=2\sqrt{41}/2=\sqrt{41}\ units$ ---> the radius is half the diameter

substitute

$(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}$

$(x-3)^{2} +(y-2)^{2}=41$

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4 years ago

Determine whether the statement a through d about f,g and h are true or false

zalisa [80]

Answer:

Step-by-step explanation:n

6 0

3 years ago

Can someone help me please thank you

slavikrds [6]

Answer:

3j + 3m + 21

Step-by-step explanation:

Normally, they would each travel 3 miles, so the total would normally be 3j + 3m. However, for today, Jared ran another 21 miles, so 21 miles is added to the total.

Total distance = 3j + 3m + 21

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3 years ago

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A mantee surfaced for air 3 times in 120 seconds

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Answer:

40 seconds

Step-by-step explanation:

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