Answer:
D. x=1
Step-by-step explanation:
Image can be rewritten as 3x + 6 = 9.
Solve for x.
3x +6 = 9
Isolate x by subtracting 6 from both sides.
3x = 3
Get rid of the 3 by dividing by 3 on both sides.
x = 1
Hope this helped.
This is a classic example of a 45-45-90 triangle: it's a right triangle (one angle of 90) & two other sides of the same length, which means two angles of the same length (and 45 is the only number that will work). With a 45-45-90 triangle, the lengths of the legs are easy to determine:
45-45-90
1-1-sqrt2
Where the hypotenuse corresponds to sqrt2.
Now, your hypotenuse is 10.
To figure out what each leg is, divide 10/sqrt2 (because sqrt2/sqrt2 = 1, which is a leg length in the explanation above).
Problem: you can't divide by radicals. So, we'll have to rationalize the denominator:
(10•sqrt2)/(sqrt2•sqrt2)
This can be rewritten:
10sqrt2/sqrt(2•2)
=10sqrt2/sqrt4
=10sqrt2/2
=5sqrt2
Hope this helps!!
Yay, implicit differnentiation
when you take the derivitive of y, you multiply it by dy/dx
example
dy/dx y^2=2y dy/dx
for x, the dy/dx dissapears
ok
so differnetiate and solve for dy/dx
3y² dy/dx-(y+x dy/dx)=0
expand
3y² dy/dx-y-x dy/dx=0
3y² dy/dx-x dy/dx=y
dy/dx (3y²-x)=y
dy/dx=y/(3y²-x)
so at (7,2)
x=7 and y=2
dy/dx=2/(3(2)²-7)
dy/dx=2/(3(4)-7)
dy/dx=2/(12-7)
dy/dx=2/5
answer is 2/5
Answer:
See the proof below
Step-by-step explanation:
For this case we need to proof the following identity:
We need to begin with the definition of tangent:
So we can replace into our formula and we got:
(1)
We have the following identities useful for this case:
If we apply the identities into our equation (1) we got:
(2)
Now we can divide the numerator and denominato from expression (2) by 
and we got this:
And simplifying we got:
And this identity is satisfied for all:
The Z-score (z) is calculated according to the formula: z = (x - μ) / σ
Where: x is the raw score value, μ is the mean of the population, σ is the standard deviation of the population.
x = 80, μ = 5, σ = 4
z = (80 - 5) / 4
z = 75 / 4 = 18.7500
Z-score is 18.7500
