Sorry didn't know how to write the answer so I just took a screen shot of my answer for you!
Final answer:
Since absolute values determine the distance between the number and the value whether the value is positive or negative. As distance is always positive.
Thus, |a| is always nonnegative, even though |a|=-a for negative values of a.
Step-by-step explanation:
Step 1
It is said that |a| is always nonnegative even though even though |a|=-a for negative values of a.
Step 2
This is because by the definition of an absolute value, any real number inside an absolute value symbol || will always be positive.
The figure is missing. There are several problems with same wording but different numbers
Here, we can use:
- Horizontal distance: 258 feet
Answer:
- Slope = 56.0 ft / 258 ft ≈ 0.217
Explanation:
The <em>slope</em> measures how the rate of change of the vertical distance (vertical fall) with respect to the horizontal distance.
There are several forms to express this with words, which represent the same formula. Here are some of them:
- Slope = rise / run
- Slope = vertical change / horizontal change
- Slope = change in y / change in x
- Slope = Δy / Δx
- Slope = (y₂ - y₁) / (x₂ - x₁)
As said, all those forms mean the same; they are equivalent.
Here, we have vertical fall = 56.0 feet, and horizontal distance = 258 feet, and by specifications of the problem (in the hint) the slope must be positive. Thus, you get:
- Slope = vertical fall / horizontal distance = 56.0 feet / 258 feet ≈ 0.217
Answer:
Nonlinear
Explanation:
y=2/3 x^2-7 is nonlinear because it is not in slope intercept form.
Also, x² automatically means it is nonlinear because this is the formula for a parabola when graphed. Parabolas are nonlinear.
The parabola also doesn't continue in a straight or nearly straight line. That is what linear is.
