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telo118 [61]
3 years ago
9

What is the first term for an arithmetic sequence with a12 = 56 and a21=101?

Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0
The first term is -43.

Explanation:

an = a + (n - 1)d

a12 = a + 11d = 56, first equation
a21 = a + 20d = 101, second equation

Subtract the second equation from the first equation, cancelling +a and -a
11d - 20d = 56 - 101
-9d = -45
d = 5

Subtitute d into the first equation
a + 99 = 56
a = -43

a refers to the first term, hence the first term is -43.
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Montano1993 [528]
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3 years ago
Geometry Help Please!!
Maru [420]
We know that the lengths of the two smaller sides have to be more than the third side when they are added together

The third side couldn't be 2 or 3 because 9 (7+2) or 10 (7+3) are not less than 10

The third side couldn't be 17 or 18 because 17 (7+10) is not larger than 17 or 18

The correct answer is C. 4 works because 7+4=11 or more than 10. 16 works because 7+10=17 is more than 16

Hope this helps
8 0
3 years ago
Need help! Please include steps
Evgesh-ka [11]

Answer:

30 minutes

Step-by-step explanation:

If we have 2 points, we can find the slope

m = (y2-y1) / (x2-x1)

(0,24) and (5,20)

m = (20-24)/(5-0)

    = -4/5

We know the y intercept (where x=0)  (0,24)

We can write an equation for the line in y =mx+b

y = -4/5x+24

We want y = 0  (when the diameter is 0)

0 = -4/5 x +24

Subtract 24 from each side

-24 = -4/5 x +24-24

-24 = -4/5 x

Multiply each side by -5/4 to get x alone

-5/4 * -24 = -5/4 * -4/5 x

30 = x

8 0
3 years ago
Hello!) this is math :( can you help me please?
strojnjashka [21]

Answer:

Nine: 5, 7, 9, 11

Ten: 13, 17, 21, 25

Step-by-step explanation:

Nine

f(n) = 2n + 3

f(1) = 2*1 + 3       Substitute 1 for n

f(1) = 2 + 3          Multiply 2 * 1

f(1) = 5                Add 3

f(2) = 2n + 3       Substitute 2 for n

f(2) = 2*2 + 3     Combine the factors

f(2) = 4 + 3         Add the terms

f(2) = 7

f(3) = 9                Answer

f(4) = 11               Answer

Ten

f(n) = 4n + 9

f(1) = 4*1 + 9       Substitute 1 for n

f(1) = 4 + 9         Combine the factors

f(1) = 13              Add the terms

f(2) = 4*2 + 9     Substitute 2 for n

f(2) = 8 + 9         The factors (2 and 4) have been combined

f(2) = 17               Add 9

f(3) = 21               Answer

f(4) = 25              Answer

4 0
3 years ago
Please help, giving 30 points and brainly
pochemuha

Answer:

1/3 x (-15) = -5

6 x 2/3 = 4

1/2 x 6= 3

3/2 x (-2) = -3

Step-by-step explanation:

image explains (kind of)

hope it helps though!

7 0
3 years ago
Read 2 more answers
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