A quadratic equation has the general form of:
<span>
y=ax² + bx + c
</span><span>
It can be converted to the vertex form in order to determine the vertex of the parabola. It has the standard form of:
</span><span>
y = a(x+h)² - k
</span><span>
where h, k are the vertex points.
</span><span>
y=-2x^2 + 2x+ 2
</span><span>y=-2(x^2 - x) + 2
</span><span>y + 1/4 = -2 (x^2 -x +1/4) + 2
</span><span>y = -2 (x - 1/2)^2 + 7/4
</span><span>
Therefore, the vertex is (-1/2, -7/4)
</span><span>
at x = 6, y = -58</span>
Scientist's once believed that living organisms could be created from non-living matter. It was known as Spontaneous Generation. In 1668, an Italian scientist, Francesco Redi, postulated that the theory of Spontaneous Generation is incorrect. He designed a scientific experiment to test the spontaneous creation of maggots. He put fresh meat in each of the two different jars. One jar was left open and the other jar was covered with a cloth. Several days later the open jar contained maggots; the covered jar contained no maggots in the jar - they were found on the cloth covering the jar. He thus successfully demonstrated that maggots came from fly eggs. He also thought he helped disprove the theory of Spontaneous Generation. Unfortunately, he did not.
Answer:
A mountain range is larger, and may have lots of peaks not joined as in a ridge. A mountain range refers to an area that contains several geographically similar mountains.
Credit: peterf
Answer:
Two right triangles that have a congruent hypotenuse and a corresponding congruent leg are congruent. The hypotenuse of a right triangle is the longest side. The other two sides are legs.