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Hatshy [7]
3 years ago
13

The third term of an arithmetic sequence is 21, and the eighth term is 56. The first term is

Mathematics
1 answer:
vodomira [7]3 years ago
5 0
a_3=21;\ a_8=56\\\\a_8-a_3=5d\\\\5d=56-21\\5d=35\ \ \ |divide\ both\ sides\ by\ 5\\d=7\\\\a_1=a_3-2d\\\\a_1=21-2\cdot7\\a_1=21-14\\a_1=7\\\\Answer:\boxed{a_1=7}
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The distance from the center of a round horse corral to the fence is 25 yards. What is the area of the horse corral?
Ksivusya [100]

Answer:

625 pi (no approximation)or 1962.5(approximation)

Step-by-step explanation:

You do pi times radius squared.

7 0
3 years ago
Jeff writes comic strips for a local newspaper. The number of comic strips he creates is represented by the function f(x) = 3x,
nataly862011 [7]
For this question, all we are going to do is plug all 5 of those numbers into the function f(x) = 3x.

The numbers we're given are {3, 4, 6, 7, 9} So lets plug them in!
3*3=9
3*4=12
3*6=18
3*7=21
3*9=27

So the answer is {9, 12, 18, 21, 27}! If you have any questions I'd be happy to help!
7 0
3 years ago
KM bisects ∠LKJ. If m∠LKM = 4x + 12 and m∠MKJ = 6x - 6, find the value of x. *
riadik2000 [5.3K]

Given that,

KM bisects ∠LKJ.

m∠LKM = 4x + 12 and m∠MKJ = 6x - 6

To find,

The value of x.

Solution,

As KM bisects ∠LKJ. It would mean that,

m∠LKM = m∠MKJ

Putting the above values,

4x+12=6x-6

We can solve the above equations as follows :

4x-6x=-12-6

-2x=-18

x=9

Therefore, the value of x is equal to 9.

6 0
3 years ago
True or false the order of magnitude for the number of tires on a motorcycle is 1
nlexa [21]

Answer:

false

Step-by-step explanation:

8 0
3 years ago
91.55
cricket20 [7]

Answer:

the answer is 3x2-10x+6=0

4 0
3 years ago
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