Answer:
Option B.
Step-by-step explanation:
The given exponential equation is
...(1)
It is given that the graph of above equation passes through points (−3, 24) and (−2, 12).
The graph passes through the point (-3,24), so substitute x=-3 and y=24 in equation (1).
...(2)
The graph passes through the point (-2,12), so substitute x=-2 and y=12 in equation (1).
...(3)
Divide equation (3) by equation (2).
Substitute b=0.5 in equation (2).
Substitute a=3 and b=0.5 in equation (1).
Therefore, the correct option is B.
Tony's dorm is 7.5 miles far from the library.
Step-by-step explanation:
Given points are;
(4,0) and (12,6)
Using point distance formula;
Distance =
One unit represents 0.75 miles, therefore,
10 units = 0.75*10 = 7.5 miles
Tony's dorm is 7.5 miles far from the library.
Keywords: distance, multiplication
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Hello,
First of all,
C. and D. are both incorrect because they apply translations to ABC; translations will misalign ADE with ABC.
Next,
A. is incorrect because a dilation of 1/2 will place D at (0,3) from its original point of (0,2). Also, the dilation will place E at (6,0) from its original point of (4,0). The triangle ADE would be too small to map ABC.
Finally,
B. Is the correct answer because a dilation of 2 will place D at (0,4)—where B is—and will place E at (8,0), where C is.
Choice B. maps ADE onto ABC
Sorry for that much information, but I think it’s useful. XD
First subtract 100v² from both sides to get:
C²L²=100c²-100v²
Then divide both sides by C²:
L²=(100c²-100v²)/C²
Then take the square root of both sides:
L=+ or - the square root of (100c²-100v²)/C²