To determine the answer to this item, we just have to calculate for the length of the sides of the cube.
Cube 1: Side = sqrt(480/6) = 4 sqrt(5)
Cube 2: Side = sqrt(270/6) = 3 sqrt (5)
We divide both sides to get the answer which is equal to 4/3.
Using implicit differentiation, it is found that y is changing at a rate of 10 units per second.
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The equation is:
Applying implicit differentiation in function of t, we have that:
- x-values changing at a rate of 2 units per second means that
- Point Q(1,4) means that .
We want to find , thus:
y is changing at a rate of 10 units per second.
A similar problem is given at brainly.com/question/9543179
C would be 28 feet because 1 meter equals roughly 3.3 feet multiplied by 7 gives you roughly 22 then add a couple of feet.
A would be approx. 26 feet
B would be 23 feet
The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.
<h3>Standard form equation of a quadratic function.</h3>
It follows from the task content that the standard form equation of the quadratic function is to.be determined.
Since the standard form equation can be derived from the vertex form equation as follows;
f(x) = a (x - h)² + k
f(x) = a (x - 6)² - 7
Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;
-11 = a (8 - 6)² - 7
-11 = 4a - 7
4a = -4
a = -1.
Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;
f(x) = -1(x² - 12x + 36) - 7
f(x) = -x² + 12x - 43
Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.
Read more on quadratic functions;
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Answer:1) 18
2)78
Step-by-step explanation: