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UkoKoshka [18]
3 years ago
14

The second and third terms of a G.P is 6 times the fourth term. Find the possible values of the common ratio. ​

Mathematics
1 answer:
egoroff_w [7]3 years ago
7 0

Answer:

-1/3 or 1/2.

Step-by-step explanation:

Second term = ar, the third = ar^2 and the fourth = ar^3.

So we have the equation:

ar + ar^2 = 6ar^3

r + r^2 = 6r^3

6r^3 - r^2 - r = 0

r(6r^2 - r - 1) = 0

(3r + 1 )(2r -1) = 0

r = -1/3, 1/2.

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Answer:

Option E

Step-by-step explanation:

The standard equation of circle is:- (x-h)² + (y-k)² = r²

where (h,k) is center point and r is radius

If radius r is decreased then also (h,k) remains same, only r² increases

Equation given in question is x² + y² + Cx + Dx + E=0

So, C and D will remain same but E will increase

4 0
3 years ago
An animal shelter has 5 times as many cats as it has dogs. There are 75 cats at the shelter. If d= the number of dogs, which mat
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3 0
3 years ago
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Jenna is driving 400 miles to visit her grandmother. She managesto travel the first 100 miles of her trip in two hours. Is she c
dalvyx [7]

Answer:

Jenna will complete remaining distance in 6 hours.

Step-by-step explanation:

Since we know that \text{Speed}=\frac{\text{Distance}}{\text{Time}}. Let us find the rate at which Jenna traveled 100 miles.

\text{Speed}=\frac{100\text{ miles}}{2\text{ hours}}

\text{Speed}=50\frac{\text{ miles}}{\text{ hours}}

Remaining distance is 400-100=300.

Now let us find the time Jenna will take to travel 300 miles.

\text{Time}=\frac{300}{50}

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Therefore, Jenna took 6 hours to complete remaining distance.

4 0
3 years ago
What is the area of the shaded part?
makvit [3.9K]
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Let’s count how many full squares there are. There’s 5 completely full squares (one in the middle, and one on each of the four edges).

There’s also half-full squares which we COULD calculate separately using the area of a triangle. However, we know that two halves make one full square so let’s count how many full blocks these make up. There’s 8 triangles (or half full squares), therefore there are 4 full squares.

Adding this to the clearly full blocks shows 4+5=9. There are 9 fully shaded squares. The area of a square is A=s x s (Area = length of side x length of side). Therefore, one square’s area is 5x5=25m^2. The area of 9 squares is 25 x 9 = 225m^2.

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How many miles are n 31,680 feet?
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