Answer: 117
Step-by-step explanation:
Formula for arithmetic sequence is:
= a + (n - 1)d
22nd term = a + (n - 1)d
= a + (22 - 1)d = a + 21d
where, a = 12
d = 17 - 12 = 5.
Therefore, 22nd term will be:
= a + 21d
= 12 + 21(5)
= 12 + 105
= 117
The 22nd term is 117
Answer:
x=10
Step-by-step explanation:
The two triangles are similar since each triangle is the same shape of right triangle but different sizes. To find x, write a proportion between two equal ratios of side lengths.
Solve by cross multiplying.
28(3x) = 20(4x+2)
84x = 80x + 40
4x = 40
x=10
Answer:
(0, -1)
Step-by-step explanation:
x becomes x - 6, so subtract 6 from the x-coordinate.
y becomes y - 1, so subtract 1 from the y-coordinate.
P(6, 0) -----> P'(0, -1)
Answer:
Let the amounts be 2x and 3x.
Then 2x+3x=60
So, 5x=60
So, x=60/5=12
So, amounts are
2x=2*12=24
And 3x=3*12=36
Hope this helps you!
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
There is a point of inflection at each point where the graph crosses the line y=2. There are 7 points of inflection shown.
__
A point of inflection is where the graph changes from being concave downward to concave upward, or vice versa. For a sine function, that is everywhere the function crosses its midline.
