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Tasya [4]
2 years ago
11

Find the explicit formula for arithmetic sequences. 38, 238, 438, 638, ..

Mathematics
1 answer:
Eddi Din [679]2 years ago
7 0

Answer:

200n - 162.

Step-by-step explanation:

first trem a1 = 38

common difference d = 200

nth term = a1 + (n-1(d

= 38 + 200(n-1)

= 200n - 162

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Given A(2,0) and B(8,4), show that P(3,5) is on the perpendicular bisector of line AB by these 2 methods
Shalnov [3]

1) First we need to find midpoint M of segment AB.

... M = (A+B)/2 = ((2+8)/2, (0+4)/2) = (5, 2)

Then vector AB is B-A = (8-2, 4-0) = (6, 4)

and vector PM is P-M = (3-5, 5-2) = (-2, 3)

The latter has slope that is 3/-2 = -3/2. The former has slope that is 4/6 = 2/3.

The product of these slopes is -1, indicating these vectors are perpendicular.

2) Vector PA is P-A = (3-2, 5-0) = (1, 5).

Vector PB is P-B = (3-8, 5-4) = (-5, 1).

The lengths of both of these vectors are √(1²+5²) = √26.

7 0
3 years ago
What is 10 to the negative fifth power
lianna [129]

−105

=−105

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=−100000

HOPE THIS HELPS!


3 0
3 years ago
What is the solution of the equation 1.6m - 4.8 = -1.6m
Flauer [41]
Solve for m:
1.6 m - 4.8 = -1.6 m

Add 1.6 m to both sides:
1.6 m + 1.6 m - 4.8 = 1.6 m - 1.6 m

1.6 m - 1.6 m = 0:
1.6 m + 1.6 m - 4.8 = 0

1.6 m + 1.6 m = 3.2 m:
3.2 m - 4.8 = 0

Add 4.8 to both sides:
3.2 m + (-4.8 + 4.8) = 4.8

4.8 - 4.8 = 0:
3.2 m = 4.8

Divide both sides of 3.2 m = 4.8 by 3.2:
(3.2 m)/3.2 = 4.8/3.2

3.2/3.2 = 1:
m = 4.8/3.2

4.8/3.2 ≈ 1.5:
Answer:  m ≈ 1.5
6 0
3 years ago
What is the quotient if 3/15 of 40 is divided by 7/8 of 4/14?
GrogVix [38]

Answer:

32

Step-by-step explanation:

3/15 * 40/7/8 *4/14

8/ 1/4 = 32

5 0
3 years ago
Read 2 more answers
I need help with this can someone please help me I'm bad at fractions.
Artemon [7]
The answer is 29, I just didn’t on my head right now.
5 0
3 years ago
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