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AlekseyPX
3 years ago
6

How can I set each side equal to each other?

Mathematics
1 answer:
jekas [21]3 years ago
7 0
RTP: [a tan(u) + b]² + [b tan(u) - a]² = (a² + b²) sec²(u)

Proving LHS = RHS:

LHS = [a tan(u) + b]² + [b tan(u) - a]²

= a² tan²(u) + 2ab tan(u) + b² + b² tan²(u) - 2ab tan(u) + a²
= (a² + b²) tan²(u) + (a² + b²)
= (a² + b²)[tan²(u) + 1]
= (a² + b²) sec²(u), using the identity: tan²(x) + 1 = sec²(x)
= RHS

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Write an equation for the value of y in terms of x. Then solve the equation for x.
UkoKoshka [18]

Answer:

x=y-48, y=x+48

Step-by-step explanation:

3 0
3 years ago
Tickets for a school play sold for $7.50 for each adult and $3.00 for each child. The total receipts for 118 tickets totaled $69
NeX [460]
X= number of adult tickets
y=number of child tickets.
we can suggest this system of equations: 
x+y=118                 ⇒x=118-y
7.5x+3y=696

we can solve this system of equations by substitution method:
7.5(118-y)+3y=696
885-7.5y+3y=696
-4.5y=-189
y=-189/-4.5
y=42

x=118-y
x=118-42
x=76

Answer: the number of adult tickets sold was 76. 
7 0
3 years ago
There is a walking trail at the park. Four laps around the trail is a distance of 1 mile. How many laps does it take to walk 3/4
ira [324]

Pretty Sure it is 3 laps. because if it is 4 laps = 1 mile. then 1/4 = 1 lap 2/4= 2 laps 3/4 = 3 laps and then 4/4 = 4 laps = 1 mile.


Hope this helps :)

 

4 0
3 years ago
Read 2 more answers
Can someone help me
barxatty [35]

Answer:

y= (-6/5)x -2

Step-by-step explanation:

y=mx+b , where m is the slope, and b is the y -intercept

the y -intercept is where the line intersects the y-axis so b = -2

the slope m= y(rise) /x(run)  = 6/-5 = -6/5 ( to find the slope you have to know how to get from any point on the line to another point on the same line; start at point (0,-2) go up 6(y-rise) and to the left 5(x-run) at point (-5,4))

y= (-6/5)x -2

4 0
3 years ago
The utility bill shows that a household used 2,001 gallons of water in a 5day period what was the average amount of water used b
Anettt [7]
The average water used per day is 400.2
4 0
3 years ago
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