Answer:
2 squared times 3 squared
Step-by-step explanation:
Answer:
The movie costs $3.50 and the video games cost $5.
Step-by-step explanation:
a = 1 movie
b = 1 video game
2a + 5b = $32
8a + 3b = $43
2a x -4 = -8a
5b x -4 = -20b
32 x -4 = -128
8a + 3b = $43
- 8a + 20b = $128
--------------------------------
-17b = -85
17b = 85
/17 /17
b = 5
2a + 5(5) = 32
2a + 25 = 32
- 25 = -25
----------------------
2a = 7
/2 = /2
a = 3.5
a = $3.50
b = $5
Let the number be n.
Then:
n^2 + (1/n)^2 = 82/9; find n. Find the LCD; it is 9n^2.
Mult all 3 terms by 9n^2:
82*9n^2
9n^4 + 9 = (82/9)(9n^2) => 9n^4 + 9 = ------------
9
Then 9n^4 - 82n^2 + 9 = 0
I used my graphing calculator to find that n = 3.
Let's check: is 3^2 + (1/3)^2 = 82/9?
Is 9 + 1/9 = 82/9?
Is 81 + 1 = 82? YES. So, n=3 is a solution.
Answer: -14, -17, and -20
Step-by-step explanation: Study the sequence.
Notice that each number is 3 less than the number before it.
In other words, -2 - 3 is -5, -5 - 3 is -8, and -8 - 3 is -11.
Now, if we continue with this same sequence,
-11 - 3 is -14, -14 - 3 is -17, and -17 - 3 is -20.
So the next three numbers are -14, -17, and -20.
Answer:
The answer is 7
Step-by-step explanation:
We know than Tan45=1
Tanx=opp/adj
tan45=y/(7
)/2
Thus y=7/2
We know by pythagoras theorem that hyp^2=side^2+side^2
=(
+
=(49(2)/4)+(49(2)/4)
=(49/2)+(49/2)
=(98/2)
=49
x=7
