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Alex Ar [27]
3 years ago
8

What is the nth term of the sequence? 4, 2, 0, –2, ..

Mathematics
1 answer:
tatuchka [14]3 years ago
3 0

' n '    the 'n'th term

1               4
2               2 
3               0
4              -2 .

In general, the 'n'th term of the sequence is   A(n) = 6 - 2n  .
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0.185 repeating as a fraction??
Leya [2.2K]
Convert to a fraction<span> by placing the </span>decimal number<span> over a </span>power<span> of </span><span>10.</span>
<span>37 over 200</span>
8 0
2 years ago
The length of the longer leg of a right triangle is 4 inches more than twice the length of the shorter leg. the length of the hy
Serjik [45]

The Pythagorean's Theorem for our situation would look like this:

shortleg^2+longleg^2=hypotenuse^2

So let's call the short leg s, the long leg l and the hypotenuse h. It appears that all our measurements are based on the measurement of the short leg. The long leg is 4 more than twice the short leg, so that expression is l=2s+4; the hypotenuse measure is 6 more than twice the short leg, so that expression is h=2s+6. And the short leg is just s. Now we can rewrite our formula accordingly:

s^2+(2s+4)^2=(2s+6)^2

And of course we have to expand. Doing that will leave us with

s^2+4s^2+8s+8s+16=4s^2+12s+12s+36

Combining like terms we have

5s^2+16s+16=4s^2+24s+36

Our job now is to get everything on one side of the equals sign and solve for s

s^2-8s-20=0

That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!

6 0
3 years ago
There was 2/3 of a pan of a lasagna in the refrigerator. Bill and his friends ate half of what was left. Write a number sentence
olga nikolaevna [1]
Bill and his friends ate 1/3 of the pan, you get this by doing: 2/3 / 1/2 = 1/3 or 0.3333
7 0
3 years ago
By looking at the calculation below, write down a multiplication fact using the same numbers.
IrinaVladis [17]

Answer:

98 x 3 = 294 or 3 x 98 = 294

Step-by-step explanation:

Since 294 divided by 3 is 98, that means 294 is 3 times 98. So, we can say:

3 x 98 = 294

We can also say that 98 x 3 = 294 since it doesn't matter in which order you multiply.

7 0
3 years ago
Read 2 more answers
HELP MATH ._. rbiufb3fuib3fu4
Genrish500 [490]

Answer:

Step-by-step explanation:

9/2 is the slope. Slope defines how steep is the straight line.

Slope =  change in y ÷ change in x

In this model, 9 refers to the vertical distance between two points

and 2 refers to  the horizontal distance between two points.

9/2 is a positive slope. It indicates that if 'x' increases, y also increase.

4 0
2 years ago
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