Answer:
Step-by-step explanation:
Cancel out 6 in both numerator and denominator.
Rationalize the denominator of
by multiplying the numerator and denominator by
.
The square of is 2
Factor 14=2 × 7. Rewrite the square root of the product as the product of square roots
.
Multiply and
to get 2.
Cancel out 2 and 2.
Hope it helps and have a great day! =D
Answer:
Pilar is correct. Both systems have solution (-2, 4).
Step-by-step explanation:
Graphing, or any other means of solving these systems of equations reveals both systems have the same solution: (x, y) = (-2, 4).
_____
By Cramer's rule, the solution to the first set is ...
x = (2(6)-4(2))/(2(5)-4(3)) = 4/-2 = -2
y = (2(5)-6(3))/-2 = -8/-2 = 4
(x, y) = (-2, 4) is the solution to the first system
__
Since the first equation of the second system is the same as the first equation of the first system, we know the above solution satisfies that equation. We only need to check to see if the same point satisfies the second equation of the second system:
11(-2) +8(4) = -22 +32 = 10 . . . . . yes,
(-2, 4) is the solution of the second system
Pilar is correct that both systems have the same solution.
_____
Cramer's Rule tells you the solution to
is ...
I like to use Cramer's Rule when the solution is needed without a lot of steps. Here, we could use the Elimination method to eliminate the y-variable and solve for x. Then more steps are needed to find y. The writing out and explanation are tedious, so it is much simpler just to use a formula that gives the answer.
The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).
The value of the is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.
The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).
It can be given as,
Here are the angle of the triangle and
are the sides of that triangle.
Given information-
The triangle for the given problem is attached below.
In the triangle the base of the triangle is 2.6 units long.
The sine law for the given triangle can be written as,
As the value of side is known and the value of
has to be find. Thus use
Put the values,
Solve it for the ,
Hence the value of the is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.
Learn more about the sine law here;
