which is the better estimate of the mass of a wrist watch, 50 grams or 50 kilograms. and Sandy used beachmarks to estimate that
2 answers:
You might be interested in
1)
2)
3)
4)
5)
6)
Step-by-step explanation:
In order to calculate the sum of two fractions, we first have to find the lowest common denominator of the two fractions, then multiply the numerator of each fraction by the ratio between the lowest common denominator and the original denominator, and then add/subtract the two new numerators.
1)
Here the lowest common denominator between 6 and 8 is 24,
So we have to rewrite each fraction as having denominator 24: this means that we have to multiply both numerator and denominator of the 1st fraction by 4 (because 24/6=4), and both numerator and denominator of the 2nd fraction by 3 (because 24/8=3).
So the new numerators of the two fractions are:
The expression then becomes:
2)
Here the lowest common denominator between 6 and 8 is again 24,
so we have again to multiply both numerator and denominator of the 1st fraction by 4, and both numerator and denominator of the 2nd fraction by 3.
So the new numerators of the two fractions are:
And we get:
3)
The denominators are the same, so the lowest common denominator is always 24. So we can adopt the same procedure, and new numerators are:
And so:
4)
Using the same lowest common denominator, 24, the new numerators are:
And so we can rewrite the expression as
5)
Again, the lowest common denominator is 24. This time the denominator of the 1st fraction is 8 while the denominator of the 2nd fraction is 6, so we have to multiply the numerator of the 1st fraction by 3 and the numerator of the 2nd fraction by 4.
We get:
So the expression will be rewritten as:
6)
Here the situation is similar to the first 4 exercises: using 24 as lowest common denominator, the numerators become
So the expression becomes
Learn more about fractions:
#LearnwithBrainly
Substitute this into the parabolic equation,
We're told the line intersects
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know
We can tell from the quadratic equation that has its vertex at the point (3, 6). Also, note that
and
so the furthest to the right that extends is the point (5, 2). The line
passes through this point for
. For any value of
, the line
passes through
either only once, or not at all.
So ; in set notation,