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motikmotik
4 years ago
10

X + 3y = 6 2x - 7y = -1

Mathematics
1 answer:
lubasha [3.4K]4 years ago
6 0

Answer:

x=3, y=1. (3, 1).

Step-by-step explanation:

x+3y=6

2x-7y=-1

------------

x=6-3y

2(6-3y)-7y=-1

12-6y-7y=-1

12-13y=-1

13y=12-(-1)

13y=12+1

13y=13

y=13/13

y=1

x+3(1)=6

x+3=6

x=6-3

x=3

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The figure is made up of two shapes a semicircle and a square.
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Answer:

Option B (2 \pi+12)\ cm

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The perimeter of the figure is equal to sum the length of semicircle plus the length of three sides of a square

<u>Find the length of semicircle</u>

Remember that the circumference of semicircle is equal to

C=\frac{1}{2}\pi D

we have

D=4\ cm

substitute

C=\frac{1}{2}\pi(4)=2 \pi\ cm

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6 0
3 years ago
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riadik2000 [5.3K]
Step by step:

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3 years ago
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3 years ago
Evaluate each of the following. (a) P(11,5) (b) C(11,5) (a) P(11,5) = (Simplify your answer.) (b) C(11,5) = (Simplify your answe
Hunter-Best [27]
<h2>Answer:</h2>

(a)   P(11,5)= 55440

(b)  C(11,5)=462

<h2>Step-by-step explanation:</h2>

We know that the permutation is the number of ways of arranging r items out of a total of n items and is given by:

P(n,r)=\dfrac{n!}{(n-r)!}

and the combination is the number of ways of choosing r items out of a total of n items and is given by:

C(n,r)=\dfrac{n!}{r!\times (n-r)!}

(a)

               P(11,5)

P(11,5)=\dfrac{11!}{(11-5)!}\\\\P(11,5)=\dfrac{11!}{6!}\\\\P(11,5)=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{6!}\\\\P(11,5)=11\times 10\times 9\times 8\times 7\\\\P(11,5)=55440

(b)

                 C(11,5)    

C(11,5)=\dfrac{11!}{5!\times (11-5)!}\\\\C(11,5)=\dfrac{11!}{5!\times 6!}\\\\C(11,5)=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{5\times 4\times 3\times 2\times 1\times 6!}\\\\C(11,5)=462

8 0
3 years ago
Anybody know the answer?
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6 cm i thinking not i’m sorry!!
7 0
3 years ago
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