For this case we must indicate an expression equivalent to:
For properties of powers we have to:
So, the above expression can be rewritten as:
Thus, the resulting expression is: 
Answer:
Option D
Answer:
39,51
Step-by-step explanation:
Complementary angles add to 90 degrees
Let one angle be x
The other angle is x+12
x+ x+12 = 90
Combine like terms
2x+12 = 90
Subtract 12 from each side
2x+12-12 = 90-12
2x = 78
Divide each side by 2
2x/2 = 78/2
x =39
The other angle is 39+12 =51
Answer:
Jason has 75 pencils.
Step-by-step explanation:
In order to get from 4 to 100, you must multiply by 25 (100/4 = 25). And in order to find the amount of pencils Jason has, you must have an equivalent ratio. So you have to also multiply 3 by 25, 3 * 25 = 75. Jason has 75 pencils.
Answer:
x=-3
y=1
Step-by-step explanation:
x+y=-2...(1)
2x-3y=-9...(2)
In equation (1) make x the subject of formula by subtracting y from both sides
x=-2-y...(3)
Substitute (3) into (2)
2(-2-y)-3y=-9
Open the bracket
-4-2y-3y=-9
Collect like terms
-2y-3y=-9+4
-5y=-5
Divide both sides by-5
y=1
Substitute y=1 into(3)
x=-2-1
x=-3
Therefore,x=-3,y=1
Given the integral
first substitute y = 3x and dy = 3 dx :
then rewrite tan(y) = sin(y)/cos(y) and substitute z = cos(y) and dz = -sin(y) dy :
Recall that 1/z is the derivative of ln|z|. Then back-substitute to get the result in terms of x :
