A rectangle has a perimeter of 54 miles and a height of 18 miles. What is the length of the base?
2 answers:
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Answer: See the figure attached.
Step-by-step explanation:
1. To solve this exercise and locate the numbers shown in the problem on the number line, you can convert them from fractions to decimal numbers by dividing the numerator by the denominator. Therefore, you obtain:
10/3=3.33
17/3=5.66
2. Now, you can draw a number line (like the one shown in the figure attached) and locate the numbers as you can see in the image.
Answer:
D. (y +4)² = -4(x -2)
Step-by-step explanation:
The directrix is a vertical line, and the focus is to the left of it. The parabola will open to the left.
The vertex is halfway between the focus and directrix, so is located on the same horizontal line as the focus, at ...
x = (1 +3)/2 = 2
The focus to vertex distance is the difference in x-coordinates: 1 -2 = -1. This is the value of p in the form ...
(y -k)² = 4p(x -h) . . . . . . . parabola with vertex (h, k)
The equation is ...
(y +4)² = -4(x -2)
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<em>Additional comment</em>
Once you determine that the directrix is a vertical line, you know the equation will have a y² term. The only answer choice that has that is D.
