MATH, please help! I don’t understand
1 answer:
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Answer:
The length of the third side of the triangle is 30.
Step-by-step explanation:
Here is the formula for the Pythagorean Theorem:
The hypotenuse, based on the problem, is 50. Anyways, let's get back to calculating!
We need to multiply 40 times 40 and 50 times 50.
40 times 40, or 40 squared, equals to 1600.
50 times 50, or 50 squared, equals to 2500.
Now, let's subtract. 2500 - 1600 = 900. We need to find the square root of 900--which is 30, because 30 times 30, or 30 squared, equals to 900.
<span>The definition of quadratic function is given by:
</span>
<span>
So the problem asks for two conditions:
<em>1. Write the quadratic function in factored form. </em>
<em>2. The vertex has an x-coordinate of 3.</em>
Then the equation (1) must be written as follows:
</span>
<span>
To satisfy the two conditions:
So we are free to choose the value of one root, say:
Thus:
Finally, the answer is:
The graph of this function is shown in the figure below.</span>
</span>
So the problem asks for two conditions:
<em>1. Write the quadratic function in factored form. </em>
<em>2. The vertex has an x-coordinate of 3.</em>
Then the equation (1) must be written as follows:
</span>
To satisfy the two conditions:
So we are free to choose the value of one root, say:
Thus:
Finally, the answer is:
The graph of this function is shown in the figure below.</span>