Answer:
Relative minima at
, and relative maxima DNE.
Step-by-step explanation:
The given function is f(x) = x (x + 7) ...... (1)
We have to calculate the relative maxima and relative minima at point (x, y).
Rearranging the function given above we get.
⇒
Now, this is an equation of parabola having vertex at
and the axis is parallel to positive Y-axis.
Therefore, the function(1) has a relative minima at
, and the relative maxima DNE. (Answer)
9, 4, -1, -7
Arithmetic because it has a common difference of 5.
4, 10, 16, 22
Arithmetic because it has a common difference of 6.
2, -6, 18, -54
Geometric because it has a common ratio of -3.
4, 4, 4, 4
Both because it has a common difference of 0 and a common ratio of 1.
Hope this helps :)
Problem 44
The term "bisect" means "cut in half".
Since BD bisects angle ABC, this means the smaller angles ABD and DBC are congruent.
angle ABD = angle DBC
x+15 = 4x-45
15+45 = 4x-x
60 = 3x
3x = 60
x = 60/3
x = 20
<h3>Answer: x = 20</h3>
========================================================
Problem 45
We use the same idea as the previous problem
angle ABD = angle DBC
2x+35 = 5x-22
35+22 = 5x-2x
57 = 3x
3x = 57
x = 57/3
x = 19
<h3>Answer: x = 19</h3>
Answer:
46
Step-by-step explanation:
Segment WX = 23 by the 30 60 90 triangle theorem which states that the longer leg is sqrt3 times the length of the shorter leg.
Segment XY = 26 by the 30 60 90 triangle theorem that states the hypotenuse is twice the length of the shorter leg