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3 years ago

13

What is the total number of common tangents that can be drawn to the circles?

1 answer:

erastovalidia [21]3 years ago

6 0

Answer:

B. 0

Step-by-step explanation:

The circles do not intersect, tangents require intersection

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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:

5

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

Yesterday,Mr.Swenson made 2 3/4 quarts of strawberry jam and 1 1/8 quarts of raspberry jam. How much more strawberry jam did he

Ivenika [448]

Step-by-step explanation:

So I found the l.c.m which is 8 and I multiplied it by the numbers and then

The subtracted the both mixed numbers and I got an answer of 15/8

3 0

2 years ago

WILL MARK BRANLIEST 50 POINTS PLEASE HELP ( CORRECT ANSWER )<br><br> Simplify. 30k2 + 6k 5k + k

Vera_Pavlovna [14]

Simplified answer would be 60k^2+k

and you get that answer by combining like terms, Good Luck!

8 0

3 years ago

Read 2 more answers

A car rental company rents cars for x dollars per day plus y dollars for each mile driven. Carlos rented a car for 4 days, drove

topjm [15]

Answer:

x = $20/day, y = $0.35/mile

Step-by-step explanation:

x = $/day, y = $/mile

4x + 160y = 136

1x + 240y = 104

You can solve by elimination or substitution.

4 0

2 years ago

The quadrilateral shown is a rhombus. What is angle 4?<br> A; 28<br> B; 32<br> C; 58<br> D; 90

Goryan [66]

I believe the answer would be A 32.

This is because 3 is congruent to 4.

6 0

2 years ago