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Ket [755]
3 years ago
7

QUESTION 4

Mathematics
1 answer:
Fantom [35]3 years ago
5 0

3, x, x+6 are the first 3 terms of G.P

common ratio is x/3=x+6/x

so we cross multiply x×x=3×x+6

ײ= 3x+18 so we have x²-3x-18

(x-6)(x+3)=0

the possible value of x are 6 and -3

b) tenth term of the seauence

first of all the possible sequence are 3, 6, 12 and 3, -3, 3

but we need only the positive GP

so the common ratio of.the GP r is 6/3=2

the 10th term of a GP sequence is ar^10-1=ar^9

where a = first time

3×2^9=3×512=1536

the 10th term is 1536

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Find the missing length the triangles are similar.
ch4aika [34]

Answer:

Step-by-step explanation:

The missing length is 13 because,

Lets say the top triangle is A and the bottom triangle is B.

Triangle A gives us the side GF, and Triangle B gives us the sides TU and ST. Since the triangles are similar(as stated in the problem), we can pair 2 sides GF(A) and TU(B) which is 11:22.(one way I usually figure which sides are similar is by first- matching the hypotenuse, then checking which of the remaining two is longer.. if that made any sense). You can see that their relationship is x2 or /2 (In another word, from A to B is multiplication- ex: 11 * 2 is 22, and from B to A is division- ex 22/2 is 11.) Since the missing number is the hypotenuse of triangle A and you know the Hypotenuse of triangle B all you have to do is divide side TS by 2 to get side SF. So the missing side is 13.

Answer: 13

8 0
3 years ago
X+ k = w + v for x ? Some one please explain this for me
Troyanec [42]

Answer:

x = w + v - k

Step-by-step explanation:

For this question, we would have to solve for the variable x.

Solve for x:

x + k = w + v

To solve it, we would have to get "x" by itself.

Subtract k from both sides.

x = w + v - k

Since "x" is by itself, we know what the value of "x" is.

Therefore, your answer is x = w + v - k

3 0
3 years ago
If each muffin contains the same amount of cornmeal, how many kilograms of cornbread are in each corn muffin
Diano4ka-milaya [45]
21 cornbread are in each corn muffin
5 0
3 years ago
Read 2 more answers
One day, a sprinter runs the 100 m dash 24 times, for a total distance of 24 00 m. how many kilometers did the sprinter run?
tigry1 [53]

The total distance that was covered by the sprinter in Kilometers is:

  • 2.4 Km

<h3>How much is the total distance covered?</h3>

To obtain the total distance covered by the sprinter, we need to first realize that 1 Km is equal to 1000 meters. That said, the question above requires us to change 2400 meters to kilometers.

Thus we will have:

2400 Meters * 1 km / 1000 meters

= 2.4 km

So, the total distance covered by the sprinter in kilometers is 2.4

Learn more about meter conversions here:

brainly.com/question/26259781

#SPJ4

4 0
1 year ago
Which of the following values is a solution to the equation x - 2 = 3.5?
Alekssandra [29.7K]

Answer:

5.5

Step-by-step explanation:

add 2 to 3.5

4 0
3 years ago
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