The given equations are
5x + 7y = 7
3x - 2y = 9
As a matrix equation,
A = [5 7
3 -2]
X = [x
y]
C = [7
9]
That is
a =5, c=7; and b=3, d=-2
a - b + c + d = 5 - 3 + 7 + (-2) = 7
Answer: 7
Answer:
see explanation
Step-by-step explanation:
We require to find the third side of the triangle.
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x represent the third side, then
x² + 15² = 17², that is
x² + 225 = 289 ( subtract 225 from both sides )
x² = 64 ( take the square root of both sides )
x =
= 8
Thus
tanΘ =
= 
cosΘ =
= 
sinΘ =
= 
cscΘ =
=
= 
Greatest common factor or GCF is the greatest factor that divides two numbers. So the get the greatest common factor of the 4k 18k and 12 you need to list the prime factors of each number then multiply both numbers have in common. So the greatest common factor of the numbers is 2
Answer:√
6
cannot be simplified further because it has no perfect squares in it. However, we can evaluate it with a calculator and round to get
√
6
≈
2.45
Hope this helps!
Step-by-step explanation: