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enot [183]
2 years ago
11

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The first term of an arithmetic sequence is 1 and the sum of the first four terms is 100. Find the first four terms​
Mathematics
1 answer:
slamgirl [31]2 years ago
6 0

First term f = 1

If first four terms are f, f + d, f + 2d, f + 3d

f + f + d + f + 2d + f + 3d = 100

4f + 6d = 100 (divided by 2 , both sides )

2f + 3d = 50

2 + 3d = 50

3d = 50 – 2

3d = 48

d = 48/3

d = 16

The arithmetic sequence is 1, 17, 33, 49, ………….

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Only number 5 please help
Ilya [14]
B. 60 this can be answered by also knowing degree angle's as it starts at 0 increments of 10
7 0
2 years ago
7x + 2y =10<br> -7x+y=-16 <br> Using elimination method
tatiyna
First, I would write the problem vertically because it just helps me better.

7x+2y=10
-7x+1y=-16  

Then, I would add downwards.

    7x+2y=10
+ -7x+1y=-16
-------------------
    0x+3y=-6

Now, divide 3 from both sides.

3y=-6
---  ---
3     3

y=-2 

Now, plug in -2 for y in any equation to get x.

7x+2(-2)=10

Combine like terms

7x-4=10

Add 4 to both sides

7x-4=10
   +4  +4
-------------
7x=14

Divide each side by 7.

7x=14
----  ---
7    7

x=2 

So your solution is
(2,-2)

To check the solution, plug in the x and y values in both equations.

7(2)+2(-2)=10
14-4=10
10=10 

-7(2)-2=(-16)
-14-2=-16
-16=-16 

Therefore, the solution works.
<u>You must always plug in the x and y values into both equations to check the solution because sometimes the solution will work for one and not the other.</u>
The solution must work to both equations in other for it to be right.




8 0
4 years ago
Which is the only number listed here which has an odd number of factors? A) 12 B) 16 C) 27 D) 45 E) 63
BaLLatris [955]

Answer:12

Step-by-step explanation:

6 0
3 years ago
Samantha and mia each left julia’s house at the same time. mia walked north at 7 kilometers per hour. samantha ran west at 11 ki
kramer

Samantha and Mia are 13 km apart from each other.

<h3>What is Pythagorean ?</h3>

A right triangle's squared sides add up to the hypotenuse's squared length, according to the Pythagorean Theorem.

Mia is 7 kilometers north of Julia's home as she walked at a speed of 7 kilometers per hour.

Samantha walked at an average speed of 11 km/h, and she is now 11 kilometers west of Julia's home.

A right-angled triangle is formed by Julia's house, Mia and Samantha's locations after one hour, and the figure's points.

Hypotenuse of the triangle, which measures distance between the females

the Pythagorean theorem,

H² = P² + B²

H² = 7² + 11²

H² = 49 + 121

H = √170

H = 13.038

H = 13km

Between them, there is a 13 kilometer distance.

To know more about Pythagorean Theorem visit:

brainly.com/question/2245624

#SPJ4

7 0
1 year ago
Simplify the Radical Expression<br><br>-3√180h^4​
valentina_108 [34]
The answer to this radical expression is -108h^2radical sign 5
4 0
3 years ago
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