Hello from MrBillDoesMath!
Answer:
sqrt(15)/4
Discussion:
The attachment shows a right triangle where arcsin(@) = 1/4. (The arcsin means find the angle whose sine is 1/4 as is done in the triangle.) The missing side, sqrt(15), shown in red, was determined by the Pythagorean theorem.
Then cos(@) = cos(arcsin(1/4)) = sqrt(15)/4
Thank you,
MrB
Answer:
-1/4
Step-by-step explanation:
Hello!
The rate of change is also known as the slope.
Standard equation of a line: y = mx + b
- y: output
- m: slope
- x: input
- b: y-intercept
So, if we match the standard form to the given function:
-1/4 is m, or the rate of change.
(1,4) sorry that’s probably not right lmaaoaoo
Remember, the exact value cannot involve any rounding or estimates. Now, let's solve this problem. First, we have to translate it into an expression:
√72 - √8 + √128 separate the terms into square roots
√36·2 - √4·2 + √64·2 square root the terms that you can
6√2 - 2√2 + 8√2 they have like radical terms, so combine the terms
6 - 2 + 8 = 12 the coefficients are 12 when combined
12√2 this is the EXACT VALUE of the expression
Hope this helps!
We need to position the four points so they all are on the graph of an exponential function.
As an example of an exponential function, let's use the following function:
Now, to find where the points should be located, let's choose some values of x and calculate the corresponding values of y:
Therefore the points should be located at (-2, 1/4), (-1, 1/2), (0, 1), and (1, 2).