Answer:
The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval:
f
(
x
)
= x
^2
, [
2
,
3
]
The rate of Change is 2
Step-by-step explanation:
Let no be x
Acc to ques
X + 2(1/x) = 3
X + 2/x = 3
X^2 + 2 = 3x
X^2 - 3x + 2 = 0
X^2 - x - 2x + 2 = 0
X (x-1) - 2 (x-1) = 0
(x-2) (x-1) = 0
X= 2 or x =1
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Answer: 24
Step-by-step explanation:
First count it all right 6 x 6 = 36
Then the squares inside are 4 x 3 = 12
36 - 12 = 24
I beilive that is your answer.
This is an incomplete question, here is a complete question and image is also attached below.
How much longer is the hypotenuse of the triangle than its shorter leg?
a. 2 ft
b. 4 ft
c. 8 ft
d. 10 ft
Answer : The correct option is, (b) 4 ft
Step-by-step explanation:
Using Pythagoras theorem in ΔACB :


Given:
Side AC = 6 ft
Side BC = 8 ft
Now put all the values in the above expression, we get the value of side AB.



Now we have to calculate the how much longer is the hypotenuse of the triangle than its shorter leg.
Difference = Side AB - Side AC
Difference = 10 ft - 6 ft
Difference = 4 ft
Therefore, the 4 ft longer is the hypotenuse of the triangle than its shorter leg.
1/sin^2x-1/tan^2x=
1/sin^2x-1/ (sin^2x/cos^2x)<<sin tan= sin/cos>>
= 1/sin^2x- cos^2x / sin^2x
= (1- cos^2x) / sin^2x <<combining into a single fraction>>
sin^2 x / sin^2x <<since 1- cos^2 x sin^2 x
=1
this simplifies to 1.