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3 years ago

X^2 + y^2 = 8 X-y=0 Select all of the following that are solutions to the system shown

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

5 0

X^2 + y^2 = 8
X-y=0 so x = y

replace x = y into X^2 + y^2 = 8

y^2 + y^2 = 8

2y^2 = 8

y^2 = 8/2

y^2 = 4

y = - 2 and y = 2

because x = y

so x = - 2 and x = 2

solutions:

x= - 2 and x = + 2

y= - 2 and y = + 2

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The area of an equilateral triangle is given by A =3^1/2/4s^2. Find the length of the side s of an equilateral triangle with an

yan [13]

Answer:

The length of the side of an equilateral traingle $s=2\sqrt{2}$ inches

Step-by-step explanation:

Given that the area of an equilateral triangle is given by

$A=3^\frac{1}{2}s^2$

It can be written as

$a=\frac{\sqrt{3}}{4} s^2$ Square inches (1)

To find the length of the side s os an equilateral triangle

Given that area of an equilateral triangle is $12^\frac{1}{2}$ square inches

It can be written as

$A=12^\frac{1}{2}$

$A=\sqrt{12}$ square inches

It can be written as

$A=12^\frac{1}{2}$

$A=\sqrt{12}$ square inches (2)

Now comparing equations (1) and (2) we get

$\frac{\sqrt{3}}{4}s^2=\sqrt{12}$

$\frac{\sqrt{3}}{4}s^2=\sqrt{4\times 3}$

Dividing by $\frac{\sqrt{3}}{4}$ on both sides we get

$\frac{\frac{\sqrt{3}}{4}s^2}{\frac{\sqrt{3}}{4}}=\frac{2\sqrt{3}}{\frac{\sqrt{3}}{4}}$

$\frac{\sqrt{3}}{4}s^2\times\frac{4}{\sqrt{3}}=2\sqrt{3}\times\frac{4}{\sqrt{3}}$

$s^2=8$

$s=\sqrt{8}$

Therefore $s=2\sqrt{2}$ inches

Therefore the length of the side of an equilateral traingle $s=2\sqrt{2}$ inches

3 0

3 years ago

Simplify the expression.

mr Goodwill [35]

Answer:

$x^{\frac{1}{2}}$

Step-by-step explanation:

we have

$(x^{\frac{1}{6}})^{3}$

Applying the rule power

$(b^{n})^{m}=b^{n*m}$

$(x^{\frac{1}{6}})^{3}=(x^{\frac{1}{6}*3})=x^{\frac{3}{6}}$

Simplify

$x^{\frac{1}{2}}$

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3 years ago

Find the solution set

Marianna [84]

Hi!

Whatever we do to the inequality, we have to do it to both sides.

Subtract 14 from both sides
14 - 14 - 3x < -1 - 14
-3x < -15
Divide by -3 on both sides
-3x/-3 < -15/-3
x < 5
Because we divided by a negative number, the equality sign flips.
x > 5
^ the answer

Hope this helps! :)

4 0

3 years ago

Can you find the sum of (-6y-2)+5(3+2.5y) ?

hjlf

(-6y-2)+5(3+2.5y) expend -6y-2+15+12.5 6.5y+13

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3 years ago

Read 2 more answers

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REY [17]

Answer:

I THINK it's A