19)
6/x = x/12
x^2 = 72
x = √72
x = 6√2
y^2 = 12^2 + (√72)^2
y^2 = 144 + 72
y^2 = 216
y = 6√6
21)
14 - 8 = 6
y/8 = 6/y
y^2 = 48
y = √48
y = 4√3
x^2 = 6^2 +(√48)^2
x^2 = 36 + 48
x^2 = 84
x = √84
x = 2√21
Answer:
n=2.5
Step-by-step explanation:
First, write an equation!
n+5n-6+2n+1=15
Now, combine like terms to make things easier.
8n-5=15
Cancel -5 from the left to isolate 5n as a variable.
8n-5+5=15+5
8n=20
Now divide both sides by 8.
8n/8=20/8
n=2.5
1 pound is 16 ounces
so $5.92 are 16 ounces
for 1 ounce, divide $5.92 by 16
so $0.37 for each ounce
Answer:
C. 1/(x^2 +1) > 0
Step-by-step explanation:
The cube of a negative number is negative, eliminating choices B and D for certain negative values of x.
1/x^2 is undefined for x=0, so cannot be compared to zero.
The value 1/(x^2+1) is positive everywhere, so that is the expression you're looking for.
1/(x^2 +1) > 0
(-5,2) is located in the II quadrant because the x is negative and the y is positive.
(5,-5) is located in the IV quadrant because the x is positive and the y is negative.
(2,-5) is also located in the IV quadrant because the x is positive and the y is negative.
(-4,-5) is located in the III quadrant because both x and y are negative.
