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anygoal [31]
3 years ago
5

Solve the system by the substitution method. x-2y = -2 y = - 3x + 8

Mathematics
1 answer:
aliina [53]3 years ago
6 0

x-2y = -2

x-2(-3x+8)=-2

mutiply the bracket by -2

(-2)(-3x)=6x

(-2)(8)=-16

x+6x-16=-2

7x-16=-2

move -16 to the other side

sign changes from -16 to +16

7x-16+16=-2+16

7x= -2+16

7x= 14

divide both sides by 7

7x/7=14/7

x=2

Find y by using the substitution method

y=-3x+8

y=-3(2)+8

-6+8

=2

Answer:(2,2)

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Can someone help me with this?
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the answer is 200

Step-by-step explanation:

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Consider a triangle with two sides that
AURORKA [14]

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Answer:

  C)  14 cm

Step-by-step explanation:

A triangle solver can quickly show you the third side is 14 cm.

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The law of cosines can be used for this purpose. If the given sides are 'a' and 'b', and the third side is 'c', then that law tells you ...

  c² = a² +b² -2ab·cos(C)

  c² = 7² +11² -2·7·11·cos(100°) ≈ 196.74

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8 0
3 years ago
Select the correct answer,
ivanzaharov [21]

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D. 81

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7 0
2 years ago
I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
snow_tiger [21]

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

For our case, the solutions will be:

n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

5 0
2 years ago
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