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3 years ago

Which is a perfect square?

Mathematics

2 answers:

Leni [432]3 years ago

7 0

Answer:

I believe it's 6^2.

Step-by-step explanation: 6^2 is the same as 6 times 6. Here's a tip, if you see a 2 as an exponent, you can also say x squared. X to the power of 2 is the same as x squared.

Lena [83]3 years ago

5 0

Answer:

$6^{2}$

Step-by-step explanation:

$6^{1}$ = 6 $\sqrt{6}$ = 2.45 (NOT a perfect square)

$6^{2}$ = 36 $\sqrt{36}$ = 6 (perfect square)

$6^{3}$ = 216 $\sqrt{216}$ = 14.7 (NOT a perfect square)

$6^{5}$ = 7776 $\sqrt{7776}$ = 88.18 (NOT a perfect square)

If the answer ends with a decimal, they are not perfect squares.

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Use substitution to solve the<br> following system of equations.<br> - 4y - 5x = 30 AND x= y + 3

IRISSAK [1]

Answer:

The solution to the system of equations is y = -5 and x = -2.

Step-by-step explanation:

The question tells us to use substitution to solve the system. This means that the given value for x (in terms of y) should be substituted into the other equation. This is modeled below:

-4y - 5x = 30

-4y - 5(y+3) = 30

Next, we should use the distributive property to simplify the left side of the equation.

-4y -5y - 15 = 30

The next step is to combine like terms on the left side of the equation.

-9y - 15 = 30

Then, we can add 15 to both sides of the equation.

-9y = 45

Finally, we can divide both sides of the equation by -9.

y = -5

To find the value for x, we substitute in the value we just found for y into either of our original equations.

x = y + 3

x = -5 + 3

x = -2

Therefore, the correct answer is y = -5 and x = -2.

Hope this helps!

3 0

3 years ago

Prove that<br>{(tanθ+sinθ)^2-(tanθ-sinθ)^2}^2 =16(tanθ+sinθ)(tanθ-sinθ)

USPshnik [31]

First, expand the terms inside the bracket you will get

$(( \tan {}^{2} (x) + 2 \tan(x) \sin(x) + \sin {}^{2} (x) - ( \tan {}^{2} (x) - 2 \tan(x) + \sin {}^{2} (x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )$