Answer:
56.52 cm
Step-by-step explanation:
Answer:
x = 6; y = 20
Step-by-step explanation:
Given two numbers one large and one small.
is the smaller number and is the larger number.
According to the first statement we have:
Rearranging we get:
From the second statement, we have:
These two lines are plotted on the graph. The point at which the two lines intersect will give the two numbers.
To solve (1) and (2) we subtract the two equations:
Substituting the value of , in the equation we get:
.
Therefore, the values are: (x, y) = (6, 20).
Answer:
The numbers are 8 and 6
Step-by-step explanation:
Let x and y be the two numbers
x+y = 14
x-y = 2
Add the two equations together
x+y = 14
x-y = 2
--------------
2x +0y = 16
Divide by 2
2x/2 = 16/2
x = 8
Now find y
x+y = 14
8+y =14
Subtract 8 from each side
8+y-8 =14-8
y =6
The numbers are 8 and 6
Answer:
b and c, b and c are same
Step-by-step explanation:
Only a and d can be evaluated using simple substitution.
For a, integral of the square root of (x-1)dx i.e
let y = x-1
dy = dx
It becomes integral square root of ydy, ∫√ydy
which is can easily be evaluated and y is substituted back.
For d, integral of x times the square root of the quantity x squared minus 1
let y= x squared minus 1
then dy = 2xdx
dx = dy/2x
It becomes integral x times square root of y dy/2x
∫x√ydy/2x=∫√ydy/2=1/2∫√ydy which can easily be evaluated and y is substituted back
/If you solve for x you will get -7/2.