16 I think sorry if I’m wrong
Ln(6)=ln(3^2)=2*ln(3)
so 2*ln(6) = 4*ln(3)
so 2*ln(6) - ln(3) = 3*ln(3)
Essentially, we just use the pythagorean theorem to solve:
7^2 + 3^2 = c^2
49 + 9 = c^2
58 = c^2
c = sqrt 58
The answer is Option D.
Answer:
1/5 < 1/3 < 4/6
Step-by-step explanation:
Using the given inputs:
4/6 1/3 1/5
The least common denominator (LCD) is: 30.
Rewriting as equivalent fractions with the LCD:
4/6 1/3 1/5
20/30 10/30 6/30
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
1/5 1/3 4/6
6/30 < 10/30 < 20/30
Therefore, the sorted inputs in order from least to greatest is:
1/5 < 1/3 < 4/6
Answer:
In order to sketch a parabola, one will typically use the y-intercept, the x-intercepts, and the vertex.
Step-by-step explanation:
In order to sketch a parabola, one will typically use the given equation in standard form,
, and:
- The y-intercept – the point where the parabola crosses the vertical axis – by substituting 0 for all <em>x</em> values in the given equation and solving for <em>y</em>.
- The x-intercepts – the points where the parabola crosses the horizontal axis – by setting the given equation equal to 0 (i.e., <em>y</em> = 0) and finding the factors (or roots).
- The vertex – the point of symmetry where the parabola changes direction and curves up or down – by using
to find the x-coordinate then plugging that value into the given equation to find the y-coordinate.