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3 years ago

P and q are on a number line. If p has a coordinate -5 and pq =7 , what could the coordinate of p be

Mathematics

1 answer:

liraira [26]3 years ago

8 0

2 and -12 are the coordinates of p

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A sequence is constructed according to the following rule: its first term is 7, and each next term is one more than the sum of t

Iteru [2.4K]

Answer:

Step-by-step explanation:

According to the described rule, we have

$a_1=7\\ \\a_1^2=7^2=49\Rightarrow a_2=4+9+1=14\\ \\a_2^2=14^2=196\Rightarrow a_3=1+9+6+1=17\\ \\a_3^2=17^2=289\Rightarrow a_4=2+8+9+1=20\\ \\a_4^2=20^2=400\Rightarrow a_5=4+0+0+1=5\\ \\a_5^2=5^2=25\Rightarrow a_6=2+5+1=8\\ \\a_6^2=8^2=64\Rightarrow a_7=6+4+1=11\\ \\a_7^2=11^2=121\Rightarrow a_8=1+2+1+1=5\\ \\\text{and so on...}$

We can see the pattern

$a_5=a_8=a_{11}=a_{14}=...=5\\ \\a_6=a_9=a_{12}=a_{15}=...=8\\ \\a_7=a_{10}=a_{13}=a_{16}=...=11$

In other words, for all $k\ge 2$

$a_{3k-1}=5\\ \\a_{3k}=8\\ \\a_{3k+1}=11$

Now,

$a_{2018}=a_{3\cdot 673-1}=5$

7 0

3 years ago

If someone was born in 2018 September 12th how old will they be in 2082?

Margaret [11]

Answer: 64 years old

Step-by-step explanation:You subtract 2082 by 2018 to get the sum of 64

7 0

3 years ago

Read 2 more answers

A boat is 75 miles west and 60 miles north from the nearest port. What bearing should be taken to sail directly to port? S 39° E

Nimfa-mama [501]

I dont know this is really hard

7 0

3 years ago

(F+g)(6) (<br> f+g) 7x+8

pashok25 [27]

I am honestly not sure about this answer... try Khan Academy. Or, try breaking it down into steps.

I hope this helped... sorry about that. I will try this concept soon. :)

6 0

3 years ago

Answer and explanation please!!

Mandarinka [93]

Answer:

Area of the rhombus, A = 22.5 sq. ft.

Step-by-step explanation:

The area of a rhombus = a. b

where, a = side of the rhombus

and b = height of the rhombus.

Here, the side, a = 5 ft

Height, b = 4.5 ft.

Therefore, area, A = 5 X 4.5 sq. ft

⇒ A = 22.5 sq. ft which is the required answer.

5 0

2 years ago