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user100 [1]
2 years ago
11

Write down the first five terms of the geometric progression with

Mathematics
1 answer:
Vilka [71]2 years ago
7 0

Step-by-step explanation:

s1 = 3

s2 = 3×2 = 6

s3 = 6×2 = 12

s4 = 12×2 = 24

s5 = 24×2 = 48

sn = sn-1 × 2 = s1 × 2^(n-1)

s17 = 3 × 2¹⁶ = 3 × 65,536 = 196,608

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If A(1,2), B(5,-4) and (-3,2) are the vertices of a triangle, which statement holds true?
Zigmanuir [339]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The length of different sides are:

AB = \sqrt{(5-1)^2+(-4-2)^2} = \sqrt{16+36} = \sqrt{52}\rm\ units

BC = \sqrt{(-3-5)^2+(2+4)^2} = \sqrt{64+36} = 10\rm\ units

AC = \sqrt{(2-2)^2+(-3-1)^2} = \sqrt{16} = 4\rm\ units

Since the length of all the sides of the triangle is not equal it is a scalene triangle.

Hence, the correct option is A.

Learn more about Triangle:

brainly.com/question/2773823

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7 0
1 year ago
Read 2 more answers
Positive integers are whole numbers that are greater than zero true or false
cestrela7 [59]
False they don't have to be whole numbers. As long as they're greater than 0
4 0
3 years ago
Read 2 more answers
!!!!!!!!!!!!Please help!!!!!!!!!!!!!!
aksik [14]

Answer:

The answer to your question is a) (f°g)(x) = 4x² + 2

                                                    b) (f + g)(x) = 4x² + x + 2

                                                    c) (f - g)(-3) = -37

Step-by-step explanation:

Data

f(x) = x + 2

g(x) = 4x²

a) Calculate (f°g)(x)

Just sum the function

(f°g)(x) = (4x²) + 2

-Simplification

(f°g)(x) = 4x² + 2

b) (f + g)(x)

(f + g)(x) = x + 2 + 4x²

-Simplification

(f + g)(x) = 4x² + x + 2

c) (f - g)(-3)

-Calculate (f - g)(x)

(f - g)(x) = x + 2 - 4x²

-Simplify

(f - g)(x) = -4x² + x + 2

-Evaluate in (-3)

(f - g)(-3) = -(4)(-3)² + (-3) + 2

-Simplification

(f - g)(-3) = -4(9) - 3 + 2

-Result

(f - g)(-3) = -36 - 3 + 2

(f - g)(-3) = -37

5 0
3 years ago
Waring Bank offers a 5% interest rate on a $4500 loan for a 3-year term. South Bank offers a 5% interest rate on a $4500 loan fo
Mariana [72]
4500 times 5% per year for 3 years = (4500*.05)*3 = answer 1

4500 times 5% per year for 4 years = (4500*.05)*4 = answer 2

Answer 2 minus answer 1 = jackpot
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3 years ago
There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted and then it i
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Answer:

Its a good probability

Step-by-step explanation:

7 0
3 years ago
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