Answer:
Target has the best deal.
Step-by-step explanation:
Target gives you a sale of $1.46 per gum
While Meijer gives you a sale of $1.51 per gum
So Target has the best bargain
Answer:
![\sqrt{119+120 i}=\pm (12.24+i 4.90)](https://tex.z-dn.net/?f=%5Csqrt%7B119%2B120%20i%7D%3D%5Cpm%20%2812.24%2Bi%204.90%29)
Step-by-step explanation:
Given
z = 119 + 120 i
Let ![\sqrt{119+120 i}=p+iq](https://tex.z-dn.net/?f=%5Csqrt%7B119%2B120%20i%7D%3Dp%2Biq)
Squaring both sides
![119+120 i=p^2-q^2+2ipq](https://tex.z-dn.net/?f=119%2B120%20i%3Dp%5E2-q%5E2%2B2ipq)
Comparing real and imaginary part
Re(LHS)=Re(RHS)
...........................(1)
comparing Im(LHS)=Im(RHS)
120=2pq
![q=\frac{60}{p}](https://tex.z-dn.net/?f=q%3D%5Cfrac%7B60%7D%7Bp%7D)
Substitute q in 1
![119=p^2-(\frac{60}{p})^2](https://tex.z-dn.net/?f=119%3Dp%5E2-%28%5Cfrac%7B60%7D%7Bp%7D%29%5E2)
![p^4-119p^2-(68)^2=0](https://tex.z-dn.net/?f=p%5E4-119p%5E2-%2868%29%5E2%3D0)
Let ![x=p^2](https://tex.z-dn.net/?f=x%3Dp%5E2)
![x^2-119x-4624=0](https://tex.z-dn.net/?f=x%5E2-119x-4624%3D0)
![x=\dfrac{119\pm \sqrt{119^2+4\times 4624}}{2}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B119%5Cpm%20%5Csqrt%7B119%5E2%2B4%5Ctimes%204624%7D%7D%7B2%7D)
![x=\frac{119\pm 180.71}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B119%5Cpm%20180.71%7D%7B2%7D)
we take only Positive value because ![p^2=x](https://tex.z-dn.net/?f=p%5E2%3Dx)
x=149.85
![p^2=149.85](https://tex.z-dn.net/?f=p%5E2%3D149.85)
thus ![p=\pm 12.24](https://tex.z-dn.net/?f=p%3D%5Cpm%2012.24)
![q=\pm 4.90](https://tex.z-dn.net/?f=q%3D%5Cpm%204.90)
thus,
![\sqrt{119+120 i}=\pm (12.24+i 4.90)](https://tex.z-dn.net/?f=%5Csqrt%7B119%2B120%20i%7D%3D%5Cpm%20%2812.24%2Bi%204.90%29)
Answer:
c = sqrt( 29x^2 + 44x + 52)
Step-by-step explanation:
This is an application of the Pythagorean theorem
c = sqrt(a^2 + b^2)
a = 2x - 4
b = 5x + 6
c = sqrt( (2x - 4)^2 + (5x + 6)^2 ) Substitute and expand
c = sqrt( 4x^2 - 16x + 16 + 25x^2 + 60x + 36) Collect like terms
c = sqrt( 4x^2 + 25x^2 - 16x + 60x + 16+36) Combine the like term pairs.
c = sqrt( 29x^2 + 44x + 52)
This does not factor into anything very nice.
Answer:
okay so the circumference is 40.82m
![circumference = 2\pi \: \times r \\ = 2 \times 3.14 \times 6.5 \\ = 40.82m](https://tex.z-dn.net/?f=circumference%20%3D%202%5Cpi%20%5C%3A%20%20%5Ctimes%20r%20%5C%5C%20%20%3D%202%20%5Ctimes%203.14%20%5Ctimes%206.5%20%5C%5C%20%20%3D%2040.82m)
the diameter will be divided by 2 to give 6.5
Answer:
Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 385 by 6 and keep only what is to the left of the decimal point:
385 / 6 = 64.1667 = 64
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
385 - (6 x 64) = 1
Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 385/6 as a mixed number is:
64 1
___
6
Step-by-step explanation: