Cos(0)= 1
sin(0)= 0
tan(0)= 0
P.S I don’t have the degree symbol on my phone, sorry.
<em>Given - a+b+c = 0</em>
<em>To prove that- </em>
<em>a²/bc + b²/ac + c²/ab = 3</em>
<em>Now we know that</em>
<em>when x+y+z = 0,</em>
<em>then x³+y³+z³ = 3xyz</em>
<em>that means</em>
<em> (x³+y³+z³)/xyz = 3 ---- eq 1)</em>
<em>Lets solve for LHS</em>
<em>LHS = a²/bc + b²/ac + c²/ab</em>
<em>we can write it as LHS = a³/abc + b³/abc + c</em><em>³</em><em>/abc</em>
<em>by multiplying missing denominators,</em>
<em>now take common abc from denominator and you'll get,</em>
<em>LHS = (a³+b³+c³)/abc --- eq (2)</em>
<em>Comparing one and two we can say that</em>
<em>(a³+b³+c³)/abc = 3</em>
<em>Hence proved,</em>
<em>a²/bc + b²/ac + c²/ab = 3</em>
Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
- Parallel lines will always have the same slope but different y-intercepts.
<u>1) Determine the slope of the parallel line</u>
Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.
Switch the sides
Divide both sides by 2 to isolate y
Now that this equation is in slope-intercept form, we can easily identify that 
is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope . Plug this into :
<u>2) Determine the y-intercept</u>
Plug in the given point, (4,0)
Subtract both sides by 6
Therefore, -6 is the y-intercept of the line. Plug this into as b:
I hope this helps!
Regroup terms
2(x + 2) = 1
Divided both sides by 2
x + 2 = 1/2
Subtract 2 from both sides
x = 1/2 - 2
Simplify 1/2 - 2 to -3/2
<u>x = -3/2</u>
Answer:
$1,750,000
Step-by-step explanation:
The company did $2,000,000 in annual maintenance in 2013 and expects 80% of those to renew for 2014.
That will result in annual maintenance of:
(80 / 100) * 2000000 = $1,600,000
The product sales for 2013 were 2,000,000 (which include free maintenance in 2013) and 75% of those were expected to pay annual maintenance of 10% of the purchase price in 2014.
That will result in annual maintenance of:
(75 / 100) * (10 / 100) * 2000000 = $150,000
Therefore, the total annual maintenance will be:
$1600000 + $150000 = $1,750,000
