Answer:
A) (√3-√2)/(√3+√2)
Step-by-step explanation:
i think so
Answer: 13/12
Step-by-step explanation:
Reduce the fraction 3/9 to the lowest terms by extracting and canceling out 3.
The least common multiple of 4 and 3 is 12. Convert 3/4 and 1/3 to fractions with denominator 12.
Since 9/12 and 4/12 have the same denominator, add them by adding their numerators.
Add 9 and 4 to get 13.
Answer:
Slope is -3, equation is y=-3x+b, where b can be any number but not 7.
Step-by-step explanation:
Parallel lines have the same slope, so the slope of a line parallel to this is also -3.
An example of a parallel line to this is y=-3x+2, or y=-3x-4.
Step-by-step explanation:
A playing card is in the form of a rectangle whose perimeter is equal to 28 cm and area is 45 cm².
If l and b are length and breadth of the rectangle.
Area,
![A=lb](https://tex.z-dn.net/?f=A%3Dlb)
![45=lb\\\\l=\dfrac{45}{b}\ .....(1)](https://tex.z-dn.net/?f=45%3Dlb%5C%5C%5C%5Cl%3D%5Cdfrac%7B45%7D%7Bb%7D%5C%20.....%281%29)
Perimeter,
![P=2(l+b)\\\\28=2(l+b)\\\\14=(l+b)\ ....(2)](https://tex.z-dn.net/?f=P%3D2%28l%2Bb%29%5C%5C%5C%5C28%3D2%28l%2Bb%29%5C%5C%5C%5C14%3D%28l%2Bb%29%5C%20....%282%29)
Put the value of l from equation (1) to equation (2). So,
![14=\dfrac{45}{b}+b\\\\14=\dfrac{45+b^2}{b}\\\\14b=45+b^2\\\\b^2-14b+45=0\\\\b^2-9b-5b+45=0\\\\b(b-9)-5(b-9)=0\\\\b=5\ cm, 9\ cm](https://tex.z-dn.net/?f=14%3D%5Cdfrac%7B45%7D%7Bb%7D%2Bb%5C%5C%5C%5C14%3D%5Cdfrac%7B45%2Bb%5E2%7D%7Bb%7D%5C%5C%5C%5C14b%3D45%2Bb%5E2%5C%5C%5C%5Cb%5E2-14b%2B45%3D0%5C%5C%5C%5Cb%5E2-9b-5b%2B45%3D0%5C%5C%5C%5Cb%28b-9%29-5%28b-9%29%3D0%5C%5C%5C%5Cb%3D5%5C%20cm%2C%209%5C%20cm)
Put the value of b in equation (1),
If b = 5 cm
![l=\dfrac{45}{5}=9\ cm](https://tex.z-dn.net/?f=l%3D%5Cdfrac%7B45%7D%7B5%7D%3D9%5C%20cm)
If b = 9 cm
![l=\dfrac{45}{9}=5\ cm](https://tex.z-dn.net/?f=l%3D%5Cdfrac%7B45%7D%7B9%7D%3D5%5C%20cm)
So, the dimensions of the playing card is 9 cm by 5 cm.
<span>A circle is 360° all the way around; therefore, if you divide an arc's degree measure by 360°, you find the fraction of the circle's circumference that the arc makes up. Then, if you multiply the length all the way around the circle (the circle's circumference) by that fraction, you get the length along the arc.</span>