9514 1404 393
Answer:
see attached
Step-by-step explanation:
The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.
y = 2(x^2 -4x) +3
y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square
y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form
Answer:ln is called the natural log, or log to the base e. ln can also be written as
So, we can write the given expression as
The property of logs is:
This mean if the number a is raised to log whose base is the same as the number a itself, then the answer will be equal to the argument of the log which is x.
In the given case, the number e and the base of log are the same. So the answer of the expression will be the argument of log which is 6.
so, we can write
Thus, the correct answer is option D
Step-by-step explanation:
Answer:
2,640 ft
Step-by-step explanation:
You first find the difference between the two distances, 0.5 miles. One mile is 5280 feet, so
0.5 x 5280 = 2640
Answer: x = 8
Step-by-step explanation:
Hello again XD.
This is a coordinate plane and all the angles on a coordinate plane add up to 360°
Divide 360 by 4 to get the measurement of the section we are working in.
360/4 = 90°
This means it is complementary and complementary angles state that both separate angles added together = 90°
therefore,
6x + 2 + 40 = 90
combine like terms:
6x + 42 = 90
now subtract 42 from both sides
6x = 48
divide 6 from both sides to get:
x = 8
Let me know if you have any more questions you want answered and I hope I explained this well.