Answer:
x=8 & x=3
Step-by-step explanation:
We want to get the (x)s all on one side.
add 5x to each side

Since x^2 is x•x and 5x is 5•x then we can change the formula to
x(x+5)=8
then seperate that
x=8
x+5=8
subtract 5 from each side
x=3.
The solutions are 8 and 3.
Answer:
when x equals one number, if it was no solution then x=y
Step-by-step explanation:
Answer:
ΔABC is not a right- angled triangle
Step-by-step explanation:
Given AB = 8, BC = 5
Then AC = 22 - (8 + 5) = 22 - 13 = 9 cm
Using the converse of Pythagoras' identity
If the square of the longest side equals the sum of the squares of the other 2 sides then triangle is right.
AC² = 9² = 81
AB² + BC² = 8² + 5² = 64 + 25 = 89
81 ≠ 89, hence ΔABC is not right- angled
Answer:

Step-by-step explanation:
Given that in a group of 40 people, 35% have never been abroad. Two people are selected at random without replacement and are asked about their past travel experience.
Since the two are drawn without replacement the first trial affects the second trial. In other words, each trial is not independent of the other.
a) Hence this cannot be binomial experiment. The reason is p=probability for each trial is not constant as first draw affect the probability for Ii draw
b) The probability that in a random sample of 2, no one has been abroad
=Prob of selecting both people from the group where no one has been abroad
We have in the group 35% i.e. 14 people never been to abroad
So required probability = Prob of selecting both from 14 people
=
<span> lets say integrand is e^(y/x):
∫(x = 0 to 1) ∫(y
= 0 to x^2) e^(y/x) dy dx
= ∫(x = 0 to 1) xe^(y/x)
= ∫(x = 0 to 1) x(e^x - 1) dx
= ∫(x = 0 to 1) (xe^x - x) dx
= (xe^x - e^x) - (1/2)x^2
= 1/2. </span>