Answer:
x=2 y=8 ---> (2;8)
Step-by-step explanation:
2x+5y=44
6x-4=y
1.
2x+5(6x-4)=44
2x+30x-20=44
32x=64
x=2
2.
6x-4=y
6*2-4=y
12-4=y
y=8
Answer:
Length of the shadow of the pole is 6.93 metres
Step-by-step explanation:
Given:
Height of the pole = 4 m
The angle sun makes with the horizontal = 30 degrees
To Find:
Length of the shadow of the pole = ?
Solution:
The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta
Let x be the length of the shadow
According to the tangent ratio

On substituting the values,



x = 6.93 m
Answer:
the answer is 4-x^2
Step-by-step explanation:
-2x
and 2x cancel out
Answer:
a) P = 362880 ways
b) P = 2880 ways
Step-by-step explanation:
a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions
We have a permutation of 9 elements
P = 9!
P = 9*8*7*6*5*4*3*2*1
P = 362880 ways
b) Boys must seat together, we have two groups of people
4 boys they can seat in 4! different ways
P₁ = 4!
P₁ = 4*3*2*1
P₁ = 24
And girls can seat in 5! dfferent ways
P₂ = 5!
P₂ = 5*4*3*2*1
P₂ = 120
To get total ways in the above mentioned condition, we have to multiply P₁*P₂
P = 24*120
P = 2880 ways

By the quadratic formula,

Then


Multiply numerator and denominator by the denominator's conjugate:
