The graph shows the rate at which the depth of the water in a pond is changing over time. On a coordinate plane, a graph titled

V = x³ - 6x²y + 12xy² - 8y³

V = (x - 2y)³

   = (x - 2y)(x - 2y)(x - 2y) ( start by expanding the first pair of factors )

   = (x² - 4xy + 4y²)(x - 2y) ( multiply the terms from the first group with those in the second )

   = x³ - 4x²y + 4xy² - 2x²y + 8xy² - 8y³ ( combine similar terms )

  = x³ - 6x²y + 12xy² - 8y³

Answer:

C. The hypotenuse measures twice the distance of the shorter leg.

B. The longer leg is √3 times the length of the shorter leg.

Step-by-step explanation:

A 30-60-90 triangle is considered a right triangle. Triangles containing a right angle are classified as right triangles. Only one right angle can exist in such a triangle. The representation of this case is illustrated below. Let’s clarify why the proposed statements are valid:

The hypotenuse of a right triangle is always opposite to the right angle. If we designate as the shorter leg, the sine law affirms that the hypotenuse is:

This indicates that the hypotenuse is double the length of the shorter leg

The longer leg, which we can call , can be determined with the Pythagorean Theorem:

Thus, it is accurate that the longer leg is √3 times longer than the shorter leg.

Hello!

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Solution:

The ratio is expressed as 4 to 1.

Add these parts together.

4 + 1 equals 5.

Now divide.

150 divided by 5 results in 30.

Next, multiply to find Ivan's share.

30 multiplied by 4 gives us 120.

30 multiplied by 1 equals 30 for Tanya.

Verify.

120 plus 30 totals 150.

Then subtract.

120 minus 30 equals 90.

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Answer:

Ivan possesses £90 more than Tanya!

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I hope this has been helpful! Best of luck!