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Lapatulllka [165]
3 years ago
5

What is the common difference in the following arithmetic sequence?7,3,-1,-5

Mathematics
1 answer:
Natasha2012 [34]3 years ago
5 0

Answer:

-4

Step-by-step explanation:

The common difference is found by subtracting the second term from a previous term

So...

3-7 would give the common difference = -4

-1-3 would give the common difference= -4

-5-1 would give the common difference= -4

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Find the radius of h A=40.62
alexdok [17]
123x345445556667789999888876
4 0
2 years ago
Refer to the number line. Find the coordinate of point Y such that the ratio of MY to YJ is 2:3
balandron [24]

The coordinate of point Y such that the ratio of MY to YJ is 2:3 is 6.4

<h3>How to determine the point?</h3>

The complete question is added as an attachment

The coordinates are given as:

M = 2

J = 18

The ratio is given as:

Ratio = 2 : 3

The location of the point Y is then calculated as:

Y = Ratio * (J - M)

This gives

Y = 2/(2 + 3) * (18 - 2)

Evaluate

Y = 2/5 * 16

This gives

Y = 6.4

Hence, the coordinate of point Y such that the ratio of MY to YJ is 2:3 is 6.4

Read more about line segment ratio at:

brainly.com/question/12959377

#SPJ1

5 0
1 year ago
1. - 2(x + 11) = -18
77julia77 [94]

Answer:

x = - 2

Step-by-step explanation:

Step 1:

-2 ( x + 11 ) = - 18         Equation

Step 2:

- 2x - 22 = - 18       Multiply

Step 3:

- 2x = 4       Add 22 on both sides

Step 4:

x = 4 ÷ - 2

Answer:

x = - 2

Hope This Helps :)

8 0
2 years ago
Can you help me i don’t know the answers
Advocard [28]
1)

An irrational number is a number that a) can't be written as a fraction of two whole numbers AND b) is an infinite decimal without any sort of pattern.

For the first answer choice, clearly \frac{1}{3} does not pass the first criterion so we look at the second choice.

Let's come back to \sqrt{2} and \pi.

\frac{2}{9} doesn't meet our first criterion, and let's skip \sqrt{3} for now.

It is often easier to disprove an irrational number than to prove one. There are a few famous irrationals to know (although there is an infinite number of irrationals). The most common are \sqrt{2},  \pi, e,  \sqrt{3}. For now, it's just helpful to know these and recognize them.

So we can check off \sqrt{2},  \pi and \sqrt{3}.

2) 

For this next question, we know that \sqrt{64} = 8. Clearly this isn't irrational. Likewise, \frac{1}{2} isn't irrational. \frac{16}{4} =  \frac{4}{4} = 1, which is rational, leaving only \frac{ \sqrt{20}}{5} =  \frac{2 \sqrt{5} }{5}. By process of elimination, this is the correct answer. Indeed, \sqrt{5} is an irrational number.

3) This notation means that we have 0.3636363636... and so on, to an infinite number of digits. It is called a repeating decimal.

But it can be written as a fraction because its pattern repeats, unlike for an irrational number.

Let's say x=0.36363636.... Would you agree that 100x=36.36363636...? (We choose to multiply by 100 because there are two decimals that repeat. For 1, choose 10, for 3 choose 1,000, and so on.)

Now, let's subtract x from 100x and solve.

100x=36.36363636\\-x \ \ \ \ \ \ \ -0.36363636\\99x=36\\\\x= \dfrac{36}{99}= \dfrac{4}{11}

Voila!
4 0
3 years ago
Read 2 more answers
Jessie filled a container of water with 200 milliliters. Zaria filled a different container with 400 milliliters. There are 1000
Free_Kalibri [48]

Answer: zaria only had 20000 more that jessie in liters

Step-by-step explanation:

200 mill would be 20000

400 mill would be 40000

7 0
3 years ago
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