A. Y=x^2+3 B. Y=2/3x+6 C. Y=|x|+4 D .Y=2x-5 1. Identify the linear equations from the list. 2. State the constant rate of change
1 answer:
Answer:
Step-by-step explanation:
1. An equation is said to be linear if the variables have power not greater than 1.
Thus, the linear equations from the list are:
B. Y = x + 6
C. Y = |x| + 4
D .Y = 2x - 5
2. Comparing the equations with y = mx ± c, the constant rate of change for each linear equation are:
B.
C. 1
D. 2
3. The constant rate of change is the gradient (slope) of a linear equation. It describes the steepness of a line from the plot of points obtained from the linear equation.
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Step-by-step explanation for shape 1: A = 2(wl + hl + hw) = 2 · (30 · 13 + 13 · 13 + 13 · 30) = 1,898 inches.
Step-by-step explanation for shape 2:
Using the formulas:
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving for A:
A=ah+bh+ch+1
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Step-by-step explanation for total volume: 2908.92435 inches.
Answer:
y=x, x-axis, y=x, y-axis
Explanation:
Reflecting the figure across three axes just moves it from one quadrant to another. It does not map the figure to itself.
Reflecting across the line y=x moves it from quadrant II to IV or vice-versa. If it is in quadrant I or III, it stays there. So the sequence of reflections x-axis (moves from I to IV), y=x (moves from IV to II), x-axis (moves from II to III), y=x (stays in III) will not map the figure to itself.
However, the last selection will map the figure to itself. The initial (and final) figure location, and the intermediate reflections are shown in the attached. The figure starts and ends as blue, is reflected across y=x to green, across x-axis to orange, across y=x to red, and finally across y-axis to blue again.
