See also Tangent to a circle). In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). ... In a formula, it is written simply as 'tan'.
Answer:
y = 4
Step-by-step explanation:
2x + 3y = 6
2x + y = -2
Let's set the second equation equal to y. This means that y will be alone on one side of the equal sign.
2x + y = -2
Subtract 2x from both sides.
y = -2x - 2
Now that we have y as an expression, plug it into the first equation.
2x + 3y = 6
2x + 3(-2x - 2) = 6
Distribute the 3 across the parentheses by multiplying.
2x - 6x - 6 = 6
Combine like terms.
-4x = 12
Divide both sides by -4.
x = -3
Now we have solved x.
To solve for y, plug x back into one of the equations.
y = -2x - 2
y = -2(-3) - 2
Multiply.
y = 6 - 2
Subtract.
y = 4
Check your answer by plugging both values back into the original equations.
2x + 3y = 6
2(-3) + 3(4) = 6
Multiply.
-6 + 12 = 6
Add.
6 = 6
Your answer is correct.
Hope this helps!
Answer:
$40.94
Step-by-step explanation:
the tip is $4.39
total is $40.94
Answer:
<em>The correct option is: D) S(a) = 2.00a + 100.00; shift 50 units up</em>
Step-by-step explanation:
The rent for an apartment is represented by 
Now, the rent increases by $50.00 when the apartment is furnished. So, the rent of a furnished apartment will be: 
Thus the new function will be: 
<u>As the output of the original function is increased by 50.00, so the graph of the original function will shift 50 units upward</u>.
