Answer:
3) 5
5) 1
Step-by-step explanation:
substitute the value of 9 for each 'x' in the expression
3) h(9) = 2/3(9) - 1
= 18/3 - 1
= 6-1 or 5
substitute the value of 5 for each 'x' in the expression
5) f(5) = -5² + 6(5) - 4
= -25 + 30 - 4
= 5-4 or 1
Answer:
Option J 13
Step-by-step explanation:
we know that
If applying the Pythagoras Theorem
----> is an obtuse triangle
----> is an acute triangle
----> is a right triangle
where
c is the greater side
<em><u>Verify each case</u></em>
case F) we have

substitute

-----> is not true
Is a right triangle
case G) we have

substitute

-----> is not true
Is an acute triangle
case H) we have

substitute

-----> is not true
Is an acute triangle
case J) we have

substitute

-----> is true
Is an obtuse triangle
Answer:

Step-by-step explanation:
We want to verify the identity:

Let us take the LHS and simplify to get the LHS.
Express everything in terms of the cosine and sine function.

Collect LCM

We simplify the RHS to get:

We rationalize to get:

We expand to get:

Factor negative one in the denominator:

Apply the Pythagoras Property to get:

Simplify to get:

Or

Divide both the numerator and denominator by sin x

This finally gives:

Your increase is 85 dollars
Answer: It's a secret mystery.
To discover the value of x, solve the equation
Step-by-step explanation:
Supplementry angles add to 180°
So 19° + (x-50)° = 180°
19 + x - 50 = 180
Add 50-19 to both sides