Step-by-step explanation:
earbuds
we have a 1in : 0.2in scale of drawing to reality.
0.2 = 2/10 = 1/5
so, 1in in the drawing is actually 1/5in in reality.
how long are the 4in in the drawing ?
well, 4 times the 1in thing.
4×1/5 = 4/5 = 0.8in long
again the similar triangles
similar triangles means that each pair of corresponding lines (sides, heights, ...) in the triangles follows the same scaling factor for the length.
so, what do I need to multiply the side of the large triangle with to get the corresponding side length of the small triangle ?
27 × x = 9
x = 9/27 = 1/3
and that is the scale factor.
The answer would be A.) 1
To find this answer you solve for x. Subtract 3/2 from both sides. This will give you 1/2x = 1/2^x. Then, divide by 1/2 on both sides to get x = 1.
To check this fill in x with 1. Then solve.
- 1/2 * 1/1 + 3/2 = 2^1
- 1/2 + 3/2 = 2
- 4/2 = 2
- 2 = 2
Thus making 1 the answer. Here's an image to show how I got this. I hope this helps!
Answer:
2
Step-by-step explanation:
"Line L has an undefined slope" so line L is any vertical line.
Anything perpendicular to this vertical line will be horizontal. So line M is horizontal.
Horizontal lines are of the form y = k for some fixed number k. The only thing that fits is choice B) y = 7 where k = 7 in this case.
Choice A graphs out a diagonal line, choice C graphs a vertical line, while choice D graphs out a hyperbola. These facts are why we can eliminate these non-answers.
Answer: Choice B) y = 7
