Answer:H i think
Step-by-step explanation:
The function f (x) = x ^ 2 - 2 is given
It is asked to find the graph of f (5x)
So where the x goes we must now place "5x"
In this way the function is as shown below:
f (5x) = (5x)² -2
f (5x) = 25x² -2
The graph of this function is shown in the attached image.
Given:
15.
17.
19.
To find:
The values of the given logarithms by using the properties of logarithms.
Solution:
15. We have,
Using property of logarithms, we get
Therefore, the value of is 1.
17. We have,
Using properties of logarithms, we get
Therefore, the value of is -1.
19. We have,
Using property of logarithms, we get
Therefore, the value of is 100.
Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm
The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.
Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
Answer:
(6, -2, 0)
x = 6, y = -2, z = 10
Step-by-step explanation: