Answer:
feet
feet
Step-by-step explanation:
Let x be the width of a rectangle
Let l be the length of a rectangle
Let A be the area of rectangle
Given.
Length must be 12 feet longer than width
therefore
![Length=12+w](https://tex.z-dn.net/?f=Length%3D12%2Bw)
![l=12+w](https://tex.z-dn.net/?f=l%3D12%2Bw)
Area of rectangle
![A=300](https://tex.z-dn.net/?f=A%3D300)
We know that area of rectangle is
---------------------(1)
put all known values in equation 1
![300=(12+x)\times x](https://tex.z-dn.net/?f=300%3D%2812%2Bx%29%5Ctimes%20x)
![x^{2} +12x=300\\x^{2} +12x-300=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B12x%3D300%5C%5Cx%5E%7B2%7D%20%2B12x-300%3D0)
Find roots by this formula
![=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%7D%7B2a%7D)
![=\frac{-12\pm\sqrt{12^{2}-4(1)(-300)}}{2(1)}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-12%5Cpm%5Csqrt%7B12%5E%7B2%7D-4%281%29%28-300%29%7D%7D%7B2%281%29%7D)
![=\frac{-12\pm\sqrt{1344}}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-12%5Cpm%5Csqrt%7B1344%7D%7D%7B2%7D)
![x=-6+4\sqrt{21} \\x=-6-4\sqrt{21}](https://tex.z-dn.net/?f=x%3D-6%2B4%5Csqrt%7B21%7D%20%5C%5Cx%3D-6-4%5Csqrt%7B21%7D)
![x=12.32\\x=-24.32](https://tex.z-dn.net/?f=x%3D12.32%5C%5Cx%3D-24.32)
check both value in equation 1
for ![x=12.32](https://tex.z-dn.net/?f=x%3D12.32)
![A=(12+12.32)\times 12.32](https://tex.z-dn.net/?f=A%3D%2812%2B12.32%29%5Ctimes%2012.32)
![A=299.62](https://tex.z-dn.net/?f=A%3D299.62)
is satisfy the equation
So The length of rectangle
=24.32 feet
And width is 12.32 feet
Rachel: 3 bracelets in an hour.
Oliver: 2 bracelets in an hour but has completed 5 bracelets
Rachel : y = 3x
Oliver : y = 2x + 5
Let x be the number of hours. y is the total number of bracelets made in x hours.
3x = 2x + 5
3x - 2x = 5
x = 5
It would take 5 hours for Rachel to have the same number of bracelet as Oliver.
Rachel: 3x = 3(5) = 15
Oliver: 2x + 5 = 2(5) + 5 = 10 + 5 = 15
Answer:
Your score changes by 200 each time you click a bug and ends when you have 2400 points
Step-by-step explanation:
It's in your reading.
Answer:
2/25
Step-by-step explanation:
Answer:
Proportional.
Step-by-step explanation:
Find the cross products. If they are same, then they are proportional.
![\dfrac{1.2}{3} = \dfrac{1.8}{4.5}](https://tex.z-dn.net/?f=%5Cdfrac%7B1.2%7D%7B3%7D%20%3D%20%5Cdfrac%7B1.8%7D%7B4.5%7D)
Cross multiply,
1.2 * 4 .5 = 3*1.8
5.40 = 5.4
So, they are proportional.
Or
Multiply the numerator and denominator of 1.2/3 by 1.5
![\dfrac{1.2*1.5}{3*1.5}=\dfrac{1.8}{4.5}](https://tex.z-dn.net/?f=%5Cdfrac%7B1.2%2A1.5%7D%7B3%2A1.5%7D%3D%5Cdfrac%7B1.8%7D%7B4.5%7D)
From this we come to know they are proportional
Or
1.2 : 3 :: 1.8 : 4.5
Product of means = 3*1.8 = 5.4
Product of extremes = 1.2*4.5 = 5.4
Product of means = product of extremes. So, they are proportional.