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3 years ago

Which equation results from adding the equations in this system?

Mathematics

1 answer:

MArishka [77]3 years ago

5 0

Answer:

8y = -6

Step-by-step explanation:

x + 6y -x +2y = 9 +(-15) ➡ 8y = -6

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If $x$ is the average of $13$, $-16$, and $6$ and if $y$ is the cube root of $8$, find $x^2 + y^3$. Please Help

Alekssandra [29.7K]

Answer:

If we have a set of N elements:

{x₁, x₂, ..., xₙ}

The mean value (also called the average value) Is calculated as:

Average = (x₁ + x₂ + ... + xₙ)/n

So if x is the average of 13, -16 and 6 ( a total of 3 values)

x will be equal to:

x = (13 + (-16) + 6)/3 = (19 - 16)/3 = 3/3 = 1

x = 1

And we know that:

y = ∛8

Remember that:

2*2 = 4

and

4*2 = 8

then

2*2*2 = 2^3 = 8

then ∛8 = 2.

So we have:

y = ∛8 = 2

Now we can replace these values in the equation:

x^2 + y^3

replacing:

x = 1

y = 2

we get:

1^2 + 2^3 = 1 + 8 = 9

5 0

3 years ago

The endpoints of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the Pentagon?

ryzh [129]

the assumption being that the endpoints are two continuous points in the pentagon, Check picture below.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[2-(-1)]^2+[3-4]^2}\implies d=\sqrt{(2+1)^2+(3-4)^2} \\\\\\ d=\sqrt{9+1}\implies d=\sqrt{10}~\hfill \stackrel{\stackrel{~\hfill \stackrel{\textit{5 sides}}{}}{\textit{perimeter of the pentagon}}}{5\sqrt{10}}$

4 0

3 years ago

The security system in a house has two units that set off an alarm when motion is detected. Neither one is entirely reliable, bu

Mariulka [41]

Answer:

Probability that detector B goes off is '0.615'

Step-by-step explanation:

Given that:

1) Probability that detector A goes off and detector B does not go off is 0.25.

2)Probability that detector A does not go off is 0.35.

3)Probability that detector A goes off is (1-0.35)=0.65

Assuming that

Probability that detector B goes off is 'p' Hence the probability that detector B does not goes off is (1-p)

Thus the probability that detector A goes off and detector B does not go off is product of the individual probabilities

$P(E)=0.65\times (1-p)\\\\0.65\times (1-p)=0.25\\\\0.65-0.65p=0.25\\\\0.65-0.25=0.65p\\\\\therefore p=\frac{0.40}{0.65}=0.615$

Probability that detector B goes off is '0.615'

5 0

3 years ago

Help me i dont get this at all

bixtya [17]

Answer:

I think it's the third one.

5 0

2 years ago

Please help with this math question guys! Thank you!

Oxana [17]

Answer:

It’s b.

Step-by-step explanation:

To get the slope of the line, you need to points. Two points you already have are (0,0) and (-5,6). So all you need to do is plug those points into slope equation (y1-y2 over x1-x2) 0-6 over 0+5 equals -6/5. The slope equals -6/5, and when you plug it into y=mx+b it equals y=-6/5x. Which is b.

5 0

3 years ago

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