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Alex
2 years ago
14

Find the distance of GF if G(9,1) and F (0,2)

Mathematics
1 answer:
galina1969 [7]2 years ago
7 0

Answer:

9.06 units

Step-by-step explanation:

The distance formula for points on a graph is basically the Pythagorean Theorem

√(x2 - x1)² + (y2 - y1)²

Plug in the values and you'll get √82, which equals about 9.05539, or 9.06

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2 years ago
What is the value of x in the number 5/3+ 3x+4=8​
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3 years ago
Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.
Orlov [11]

Answer:

a) Find the common ratio of this sequence.

Answer: -0.82

b) Find the sum to infinity of this sequence.

Answer: 2.2

Step-by-step explanation:

nth term in geometric series is given by 4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82

where

a is the first term

r is the common ratio and

n is the nth term

_________________________________

given

a = 4

4th term = -2.196

let

common ratio of this sequence. be r

4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82

a) Find the common ratio of this sequence.

answer: -0.82

sum of infinity of geometric sequence is given by = a/(1-r)

thus,

sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2

4 0
3 years ago
What is the area of a sector in a circle of radius 8cm,if the angle between the radii is 30°
IceJOKER [234]

Answer:

16.75 square cm

Step-by-step explanation:

Area  \: of  \: sector  =  \frac{ \theta}{360 \degree}  \times \pi {r}^{2}  \\  \\  =  \frac{30 \degree}{360 \degree}  \times 3.14 \times  {8}^{2}  \\  \\  =  \frac{1}{12}  \times 3.14 \times 64 \\  \\  =  \frac{1}{3}  \times 3.14 \times 16 \\  \\  =  \frac{1}{3}  \times 50.24 \\  \\  = 16.7466667 \\  \\Area  \: of  \: sector  = 16.75 \:  {cm}^{2}

3 0
3 years ago
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