Answer:
Answer A
Step-by-step explanation:
Angle A = 180 - 26 - 90 (90 right angle)
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos
(
A)=
adj/hyp
Cos (26) = a / 13
a = 13* Cos (26)
a= 11.7
Find the last side of the triangle using the Pythagorean theorem.
Since 
lies in quadrant II and 
lies in quadrant IV, we expect 
, 
, and 
.
Recall the Pythagorean identities,
It follows that
Recall the angle sum identity for sine:
So we have
Answer:
one solution
Step-by-step explanation:
* Lets start to solve the question
- The 1st equation x - y = -4
- The 2nd equation 3x + y = 8
- We will use the elimination method to solve this system of equation
∵ x - y = -4 ⇒ (1)
∵ 3x + y = 8 ⇒ (2)
- Add the two equation (1) and (2) to eliminate y
∴ x + 3x = -4 + 8
∴ 4x = 4
- Divide both sides by 4
∴ x = 1
- Substitute the value of x in equation (1) or equation (2) to find
the value of y
- We will use equation (1)
∴ 1 - y = -4
Subtract 1 from both sides
∴ -y = -5
- Divide both sides by -1
∴ y = 5
∴ The solution is (1 , 5)
* The system has one solution
(x+5)(x-6)
x^2-6x+5x-30
x^2-x-30
