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Firdavs [7]
3 years ago
5

What is the perimeter of the figure displayed?

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

Answer:

C

Step-by-step explanation:

To find the perimeter of a figure, all we have to do is add up the lengths of its sides. Therefore, the perimeter of this figure is:

x+x+1+x-4+x+3+x-2\\= (x+x+x+x+x)+(1-4+3-2)\\=5x-2

Hope this helps!

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alexgriva [62]

Answer:

d a e

Step-by-step explanation:

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8 0
3 years ago
Evaluate the definite integral
Georgia [21]
\displaystyle\int_{x=9}^{x=10}x\sqrt{x-9}\,\mathrm dx

Let y=x-9, so that x=y+9 and \mathrm dx=\mathrm dy. The integral is then equivalent to

\displaystyle\int_{y=0}^{y=1}(y+9)\sqrt y\,\mathrm dy=\int_0^1(y^{3/2}+9y^{1/2})\,\mathrm dy=\dfrac{32}5
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3 years ago
Vertices: (4,13) and (4,3)<br> Foci: (4,11)and (4,5)<br> Write a equation
just olya [345]

Answer:

(x-4)²/16 + (y-8)²/25 = 1

Step-by-step explanation:

center (h,k): ((4+4)/2 , (3+13)/2) = (4 , 8)

a = 13-8 = 5        c = 8-5 = 3

b = √5²-3² = 4

Equation: (x-h)²/b² + (y-k)²/a² = 1

(x-4)²/16 + (y-8)²/25 = 1

3 0
3 years ago
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quester [9]

Answer:

Step-by-step explanation:

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aleksley [76]
The sequence is geometric. The infinite series does converge.

Note how dividing any given term by the previous one leads to the same result
-8/12 = -2/3
(16/3) divided by -8 = -2/3
and so on...
So the common ratio is r = -2/3. This proves the sequence is geometric.

Since |r| < 1 is true, this means the infinite series converges to some fixed number.<span />
8 0
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