Answer:
A - (4, –1.5)
Step-by-step explanation: Hope it helps :D
Answer: y = 18/32
Step-by-step explanation: Okay the equation is xy = k
You plug in x and y.
(3)(6) = k
18 = k
To get the value of y when x = 32 you plug in 32.
Use this equation now y = k/x
Now it is y = 18/32
And that is your answer!
Answer:
x = 3
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = 
tan60° = 
= 
= ( multiply both sides by )
x = 3
Answer:
x = 6
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² + (x + 2)² = 10² ← expand parenthesis on left side and simplify
x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide through by 2 )
x² + 2x - 48 = 0
(x + 8)(x - 6) = 0 ← in factored form
equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
however, x > 0 , then x = 6
The third angle would be 100 degrees
Explanation: 360-85-115-60= 100
