Answer:
I
Step-by-step explanation:
I
Answer:
Daughter is 6 , mother is 30.
Step-by-step explanation:
Answer:
<em>Let the dryer cost x.</em>
<em>Then, the washer costs (x+87)</em>
<em> </em>
<em>Together, they cost (x) + (x+87) = 787</em>
<em> 2x+87 = 787</em>
<em> 2x = 700 [subtract 97 from both sides]</em>
<em> x = 350 [divide both sides by 2]</em>
<em> </em>
<em>The dryer cost $350.</em>
<em> </em>
<em>Check: The washer cost $437. Together, they cost $787 [good to check, right?]</em>
<em></em>
<em><u>Hope this helps...</u></em>
Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk
