1.(03.03 MC) The table below represents a linear function f(x) and the equation represents a function g(x).
1 answer:
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Answer:
choice C. Perfect square trinomial is correct.
Step-by-step explanation:
We need to find the pattern which is represented by the polynomial .
To find that pattern, we need to factor
which is a perfect square.
Hence choice C. Perfect square trinomial is correct.
Answer:
x = 4
which agrees with the third listed answer among the given options
Step-by-step explanation:
We can re-write the logarithmic equation using the properties of logarithms:
Therefore, the arguments of the log functions must also be equal (and we can solve for "x" by noticing that this expression is the perfect square of a binomial:
and for this equation to verify, x must be 4
First, illustrate the problem by drawing a square inside a circle as shown in the first picture. Connect each corner of the square to the center of the circle. Since the square is inscribed in the circle, they have the same center points. Each segment drawn to the corners is a radius of the circle measuring 1 unit. Also, a square has equal sides. So, the angle made between those segments are equal. You can determine each angle by dividing the whole revolution into 4. Thus, each point is 360°/4 = 90°.
Next, cut a portion of one triangle from the circle as shown in the second picture. Since one of the angles is 90°, this is a right triangle with s as the hypotenuse. Applying the pythagorean theorem,
s = √(1²+1²) = √2
So each side of the square is √2 units. The area of the square is, therefore,
A = s² = (√2)² = 2
The area of the square is 2 square units.
Next, cut a portion of one triangle from the circle as shown in the second picture. Since one of the angles is 90°, this is a right triangle with s as the hypotenuse. Applying the pythagorean theorem,
s = √(1²+1²) = √2
So each side of the square is √2 units. The area of the square is, therefore,
A = s² = (√2)² = 2
The area of the square is 2 square units.