Answer:
C
Step-by-step explanation:
|2x - 2| < 8
it implies that
2x - 2 < 8
2x -2 + 2 < 8 + 2
2x < 10
x < 5
or
-(2x - 2) < 8
-2x + 2 < 8
-2x + 2 - 2 < 8 - 2
- 2x < 6
x > -3 ( the sense of the inequality reverse because I divided by minus)
The solution can be combine to
-3<x<5
We use the proportion for this case the pole and the tree with their shadows has the same shape forming a right triangle.
We use the ratio of the two triangles and equate them as
h1/s1 = h2/s2
where
h1 and s1 are the height and the length of a shadow of the pole,
and the other h2 and s2 are for the tree
Identify all the given values.
5 ft / 2 ft = (h2) / 10 ft
h2 = 25 ft
Therefore the height of the tree "h2" is 25 ft.
Answer:
"6 units left and 9 units down"
Step-by-step explanation:
Suppose a function is given in this form:
This is the parent function y = x^2
- translated a units right (left if there was a + before a)
- translated b units up (down if there was a - before b)
Now, to go from 
to 
, we can see that:
- first function is 5 units right and 2nd one is 1 unit left, so there is a horizontal translation of 6 units left
- first function is 7 units above and 2nd one is 2 units down, so there is a vertical translation of 9 units down
Thus, "6 units left and 9 units down" is the transformation(translation).
Answer:
3
Step-by-step explanation:
The slope of the line passing through the points is
m = (y2-y1)/(x2-x1)
= ( 1-2)/(8-5)
= -1/3
The slope that is perpendicular is the negative reciprocal which is
- ( 1/(-1/3)
+ 3/1
The perpendicular slope is 3
