Answer:
The value of u are,
0.93, -12.93
Step-by-step explanation:
It is given an expression in variable u
(u + 6² + 4 = 52
<u>To find the solution of given expression</u>
(u + 6)·² + 4 = 52
(u + 6)² = 52 - 4
(u + 6)² = 48
u + 6 = √48
u + 6 = ±6.93
u = ±6.93 - 6
u = 6.93 - 6 or u = -6.93 - 6
u = 0.93 or u = -12.93
You should know that:
(a+b)(a+b)(a+b)
=a(a+b)(a+b)+b(a+b)(a+b)
=a(a²+2ab+b²)+b(a²+2ab+b²)
=a³+2a²b+ab²+a²b+2ab²+b³
=a³+3a²b+3ab²+b³
-----------------
If a=5x and b=-4y
(5x+(-4y))³
=(5x-4y)³
=(5x)³+3(5x)²(-4y)+3(5x)(-4y)²+(-4y)³
=125x³+3(25x²)(-4y)+15x(16y²)-64y³
=125x³+75x²(-4y)+240xy²-64y³
=125x³-300x²y+240xy²-64y³
First we need to factor the left side. Since it is a perfect square (as is the process with completing the square, we know we can take half of the middle number along with x to be in the two parenthesis.
(x - 4)(x - 4) = 25
Now we simplify to show it as a square.
(x - 4)^2 = 25
Next we take the square root of both sides
x - 4 = +/- 5
Note that we have plus or minus 5. This is because either square would give us positive 25. Now we add 4 to both sides
x = 4 +/- 5
4 + 5 = 9
4 - 5 = -1
Answer:
7.5 units squared
Step-by-step explanation:
Equation for solving the area is A = 1/2h(b1 + b2).
The bases here have a length of 4 and 1, so we add them together. The height is 3, so our equation is 1/2 * 3(5) = 7.5
Answer:
Piano Play has the better deal
Step-by-step explanation:
Piano Play has the better deal because it has a lower unit rate
Make Music’s unit rate is 52.5 when you divide $525 by 10 hours
Piano Play’s unit rate is $45 when you divide $540 by 12 hours
