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2 years ago

Definition: Moving a figure around a fixed point in the plane is called making a

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

6 0

Moving a figure around a fixed point in the plan is called making a rotation

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Solve through substitution –3x–8y=20 y=5x+19 Point of intersection, please

Sedaia [141]

Answer:

(-4, -1)

Step-by-step explanation:

-3x - 8y = 20; y = 5x + 19

y = 5x + 19; -3x - 8y = 20

y = 5x + 19

-3x - 8y = 20

-3x - 8(5x + 19) = 20

-43x - 152 = 20

-43x - 152 + 152 = 20 + 152

-43x = 172

-43x / -43 = 172 / -43

x = -4

y = 5x + 19

y = (5)(-4) + 19

y = -1

4 0

2 years ago

Pair 3

solmaris [256]

I think it might be pairs 2 & 3

6 0

2 years ago

Find the value of X in the triangle. Please explain. Thanks.

Anna [14]

29°

triangles can only have 180°

This is a right triangle, so one angle is 90°, leaving us with 90° left

90°-61°= 29°

4 0

3 years ago

Read 2 more answers

Find the radius of convergence, r, of the series. ∞ xn 2n − 1 n = 1 r = 1 find the interval, i, of convergence of the series. (e

Bingel [31]

Assuming the series is

$\displaystyle\sum_{n\ge1}\frac{x^n}{2n-1}$

The series will converge if

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|$

We have

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|=|x|\lim_{n\to\infty}\frac{\frac1{2n+1}}{\frac1{2n-1}}=|x|-\lim_{n\to\infty}\frac{2n-1}{2n+1}=|x|$

So the series will certainly converge if $-1$ , but we also need to check the endpoints of the interval.

If $x=1$ , then the series is a scaled harmonic series, which we know diverges.

On the other hand, if $x=-1$ , by the alternating series test we can show that the series converges, since

$\left|\dfrac{(-1)^n}{2n-1}\right|=\dfrac1{2n-1}\to0$

and is strictly decreasing.

So, the interval of convergence for the series is $-1\le x$ .

6 0

3 years ago

Jim is fishing in a pond and there are 12 fish in the pond. 3 of the fish are trout and 9 are bass. If all of the fish are equal

Setler79 [48]

I think the answer id 1/22.

4 0

2 years ago

Read 2 more answers