Step-by-step explanation:
thats is all,just subject of formula
Answer:
30.9
Step-by-step explanation:
Each of the corners is a quarter-circle which sum up to a circle. The diameter is 12 so the radius is 6. The area of the circle is pi * r^2 or 36pi. 36pi= 113.09. the entire area of the square is 144. If we subtract the numbers, we get the shaded area which is 30.9.
1. (x - 9) + (x + 5)
You split the x^2 into two xs
The one with an x (-4x) is what the two numbers should equal
-9 + 5 = 4
The one without an x (-45) is what the two numbers product should be
-9 times 5 = -45
*so remember the x is the sum of the two
*no x is the product of the two
Theres no quick trick to find the answer u just have to plug it in
*start with all the numbers that multiply for the no x (-45)
-3 and 15 or 3 and -15 is obviously not it as the sum does not equal -4
Those sums equal 12 or -12
I’ll do one more and ur on ur own comrade (ok and ill do number 4)
3. (x - 8) + (x - 9)
ok this time both the answers have a negative
*if it has only one negative in the problem there are going to be TWO negatives in the answer
-8 and -9 sum is -17
-8 and -9 sum is 72
If there was only one negative in the answer it would make the 72 negative and there is no -72 in the problem
So this one is
(x - 8) + (x - 9) (u dont have to have it like this u can put the (x - 9) in the front doesn’t matter which way it’s just the signs (- & +) that matter
OK now 4.
4. This one is very easy as all u need to do is find the two numbers for the product
(X - 6) (X + 6)
(Again it doesn’t matter which () is in front just the SIGNS INSIDE THE PARENTHESES ( + & - )
GL
1. Rewrite the expression in terms of logarithms:
Then differentiate with the chain rule (I'll use prime notation to save space; that is, the derivative of <em>y</em> is denoted <em>y' </em>)
2. Chain rule:
Since , we can cancel one factor of sine:
3. Chain rule:
4. If you're like me and don't remember the rule for differentiating logarithms of bases not equal to <em>e</em>, you can use the change-of-base formula first:
Then
So we have
and we can use the double angle identity and logarithm properties to condense this result:
5. Differentiate both sides:
6. Same as with (5):
7. Looks like
Compute the second derivative:
Set this equal to 0 and solve for <em>x</em> :