Rewrite the following equation into the slope-intercept form y=mx+b. y- 5 = -3(x - 12)
2 answers:
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Scientific notation is used so that the order of the number is known in first glance. The value of the given number in scientific notation is given by: Option B:
The number is written in the form where we have
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as:
- Better readability due to compact representation
- Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
For the given case, the number in consideration is 0.0000069
Rewriting it in fraction form, we get:
(we used two facts: first that :
and second that:
Thus, the value of the given number in scientific notation is given by: Option B:
Learn more about scientific notations here:
Given:
In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.
To find:
The value of x and y.
Solution:
In triangle ABC,
(Given)
So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.
In isosceles triangle ABC,
The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.
In triangle ABD,
[Angle sum property]
Therefore, the correct option is B.