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kupik [55]
3 years ago
15

Consider the sequence 8, 14, 20, 26, . . .. (a) What is the next term in the sequence? 2.2 Exercises 98 (b) Find a formula for t

he nth term of this sequence, assuming a1 8. (c) Find the sum of the first 100 terms of the sequence: P100 k1 ak
Mathematics
1 answer:
omeli [17]3 years ago
3 0

Answer:

Step-by-step explanation:

Each term of the given arithmetic sequence is 6 more than the previous one.  Thus, the next term is 26+6, or 32.

a(n) = 8 + 6(n-1)

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Mary drove from her home to the library after she left the library she drove to the park after that she drove home the map shows
algol [13]

Answer:

24 miles

Step-by-step explanation:

Distance formula (d):

D = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

Home to library

(-4, 1) ; (-4, 9)

D1 = sqrt((-4 + 4)^2 + (9 - 1)^2)

D1 = 8

Library to park :

(-4, 9) ; (2, 1)

D1 = sqrt((2 + 4)^2 + (1 - 9)^2)

D3 = 10

Park to home :

(2, 1) ; (-4, 1)

D1 = sqrt((-4 - 2)^2 + (1 - 1)^2)

D2 = 6

6 0
3 years ago
Which Best summarizes the Pythagorean theorem
Masja [62]

the sum of the squares of the lengths of the legs of a right triangle equal the square of the length of the hypotenuse

Explanation

Pythagorean theorem is related to the right angle triangle and it states that

c^2= a^2 + b^2

Where C is the length of the hypotenuse

a  and b are the length of the sides of the triangle

The theorem states that the sum of the squares of the lengths of the sides of a right triangle is equal to the square of the length of the hypotenuse

4 0
3 years ago
Read 2 more answers
Please help me please
Phoenix [80]

Answer:

x = 36

Step-by-step explanation:

The angles 3x - y and 2x + y form a straight angle and are supplementary, so

3x - y + 2x + y = 180

5x = 180 ( divide both sides by 5 )

x = 36

-----------------------------------------------

5y and 3x - y are vertical angles and congruent, hence

5y = 3x - y ( add y to both sides )

6y = 3x ← substitute x = 36

6y = 3 × 36 = 108 ( divide both sides by 6 )

y = 18

7 0
3 years ago
What’s the correct answer for this?
forsale [732]

Answer:

B.

Step-by-step explanation:

Since two diameters are intersecting eachother, the angles inside them would be vertical angles so they'll be congruent.

So

m<LYM = m<JYM

Also their arcs would be equal to their angles measures so,

Arc JK = 52°

7 0
3 years ago
Joseph's lunch at a restaurant costs 13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax
Musya8 [376]

Answer:

The cost before tax with tip is $15.21.

Step-by-step explanation:

To calculate percentage, take the percent (17%) and take its decimal form. This means 17% is 0.17 (like 50% would be 0.5). multiply the number you want the percentage of by the decimal form. 13*0.17=2.21. Add this to the cost before tax and before tip. 13.00+2.21=15.21. The cost before tax with tip is $15.21.

3 0
2 years ago
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