Ahh yes, negative exponents always give us a scare once and a while. All the negative means is to flip the position of its base. For instance, if x has a negative exponent and x in the denominator, all you would have to do is move x to the numerator with the same power (except it's no longer negative). Before we substitute x and all the other variables which the values given, let's eliminate the negatives first.
After flipping positions/eliminating the negative exponents it should look like this:
which simplifies to
now that everything is simplified, and all negative exponents are eliminated we can substitute x with 2, and y with (-4).
which simplifies to
Final Answer: - \frac{1}{32} [/tex]
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Answer:
Equation: y = -4x + 32
Slope: -4
Step-by-step explanation:
Given : (-10,-8) and (-8, -16)
Slope Formula: 
Solve For Slope, Input Given Points:
Solve for y-intercept:
Input the slope into the equation y = mx + b. Plugin x and y values for the x and y variables to find b.
- y = -4x + b
- -8 = -10(4) + b
- -8 = -40 + b
- b = 32
Equation of LIne: y = -4x + 32
-Chetan K
9514 1404 393
Answer:
25 (ft/s)
Step-by-step explanation:
The "rate of change" is taken to mean the "rise" divided by the "run". Here, adjacent points differ in their y-value by 25 ft and their x-value by 1 second.
The rate of change is ...
rise/run = (25 ft)/(1 second) = 25 ft/second
Usually, we're just interested in the numerical value: 25.
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<em>Additional comment</em>
The graph is mis-labeled. It is not showing "rate of ascent." It is showing height as a function of time. The "rate of ascent" is the <em>slope</em> of the line on the graph, not its <em>value</em>.
Answer:
In naming a ray, we always begin with the letter of the endpoint (where the ray starts) followed by another point on the ray in the direction it travels. Since the vertex of the angle is the endpoint of each ray and our vertex is , each of our rays must begin with . Only fails to do so.
