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3 years ago

What is the distance between points F(2,9) and G(4,14)? Round to the nearest whole number.

Mathematics

1 answer:

lions [1.4K]3 years ago

4 0

Sorry for bad handwriting, while there are other ways to do this, if you can just know how to simply find the legs from the two points it is very simple!

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Which of the following is the sum of the slopes of the line 3x+y=1 and a line perpendicular to this line? A 0 B 13 C −83 D −6

laiz [17]

Answer:

-8/3

Step-by-step explanation:

First find the slope of the line

3x+y = 1

Solve for y

y = -3x+1

This is in slope intercept form

y = mx+b where m is the slope

The slope is -3

The slopes of perpendicular lines multiply to -1

m* -3 = -1

m = 1/3

The line perpendicular has a slope of 1 / (3) = 1/3

The sum is -3 + 1/3

-9/2 + 1/3 = -8/3

3 0

4 years ago

A circle has been split into 8 sectors each of which can be colored as 4 different colors, and no consecutive sectors are colore

Eva8 [605]

Answer:

5832 ways

Step-by-step explanation:

Since the circle has 8 sectors and there is 4 colour,

Assuming the sectors are numbered 1 to 8,

Sector 1 : can be coloured with any of the 4 colour in 4 ways

Sector 2 can be coloured with any of the remaining 3 colours in 3 ways

Sector 3 in 3 ways without using the colour in sector 2

Sector 4 in 3 ways without using the colour in sector 3

Sector 5 in 3 ways without using the colour in sector 4

Sector 6 in 3 ways without using the colour in sector 5

Sector 7 in 3 ways without using the colour in sector 6

Sector 8 in 2 ways without using the colours in sector 1 and 7

Number of ways of colouring = 4*3*3*3*3*3*3*2 = 5832 ways

3 0

3 years ago

The velocity v that an object r units

erastova [34]

Answer:

M=v^2r / 2G

Step-by-step explanation:

Open the file, it is solved for you, your welcome.

4 0

3 years ago

Item 4 Find the distance between the two points. (4, −5), (−1, 7)

Rus_ich [418]

Answer:

yes , the distance between the two points is 13 units

5 0

3 years ago

Mary who is 13 years old wants to have $8500 to travel to Argentina when she’s 21 years old. She currently has $6439 in savings

marishachu [46]

Answer:

a; she will have $8812

b: It will be enough for her trip

Step-by-step explanation:

In this question, we are tasked with calculating how much a certain value in a savings account that is earning an interest that is compounded annually will be worth.

To calculate this, we use the compound interest formula;

A = P( $(1+r/n)^{nt}$

Where A is the amount after that number of years which of course we want to calculate

P is the principal amount which is the amount we are investing which is $6439 according to the question

r is the interest rate which is 4% = 4/100 = 0.04

t is the time which is 8 years

n is 1 which is the number of times interest will be compounded annually

We plug these values as follows;

A = 6439(1 + 0.04/1)^8

A = 6439(1.04)^8

A = $8,812.22

This amount is greater then the needed $8,500 for the trip and of course it will be enough

8 0

3 years ago