Answer:
the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.
Step-by-step explanation:
Subtract 1 from +1 and 0 and then divide the negative from x and -1 which gives u with x=1
Answer:
x=35
Angle measurements of the triangle from least to greatest:
35,40,105
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees.
So we know that 40+3x+x=180.
First step is to combine the like terms on the left hand side:
40+4x=180
Second step is to subtract 40 on both sides.
4x=140
Third step is to divide both sides by 4:
x=35
The angle that is given is the one that is 40 degrees.
So the angle whose measurement is x is really 35 degrees.
The angle whose measurement is 3x is real 3(35)=105 degrees.
In order from least to greatest we have:
35,40,105
Read the question carefully: it costs 4 tokens to park in a garage for an hour.
We will apply the unitary method to solve this question
It costs 4 tokens to park in a garage for 1 hour
Find how many hours can park in a garage for 1 token
If it costs 4 token to park in a garage for 1 hour
Then it will cost 1 token to park in a garage for 1/4 hour
Step2:
With 20 token we can park in a garage for (1/4) * 20
= 5 hours
So, we can park for 5 hours with 20 tokens.
Another method
If we take twenty tokens and divide them into groups of four, we will find that we are left with five groups of tokens. Each group of tokens represents an hour of parking time. This will give us five groups, or five hours, total.
So, we can park for 5 hours with 20 tokens
Answer:
z = x^3 +1
Step-by-step explanation:
Noting the squared term, it makes sense to substitute for that term:
z = x^3 +1
gives ...
16z^2 -22z -3 = 0 . . . . the quadratic you want
_____
<em>Solutions derived from that substitution</em>
Factoring gives ...
16z^2 -24z +2z -3 = 0
8z(2z -3) +1(2z -3) = 0
(8z +1)(2z -3) = 0
z = -1/8 or 3/2
Then we can find x:
x^3 +1 = -1/8
x^3 = -9/8 . . . . . subtract 1
x = (-1/2)∛9 . . . . . one of the real solutions
__
x^3 +1 = 3/2
x^3 = 1/2 = 4/8 . . . . . . subtract 1
x = (1/2)∛4 . . . . . . the other real solution
The complex solutions will be the two complex cube roots of -9/8 and the two complex cube roots of 1/2.
