Answer:
4.025 x 10^3 = 4025
Step-by-step explanation:
In the given case, as we have the number as 4.025×10^3, we need to move decimal digit to the right by three points. For this, let us write 4.025 as 4.02500 and moving decimal point three points to right means 4025.00
Answer:
![=\frac{8a+6}{\left(a-3\right)\left(a+3\right)}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B8a%2B6%7D%7B%5Cleft%28a-3%5Cright%29%5Cleft%28a%2B3%5Cright%29%7D)
the third option is your answer
Step-by-step explanation:
![\frac{5}{a-3}+\frac{3}{a+3}\\\mathrm{Least\:Common\:Multiplier\:of\:}a-3,\:a+3:\quad \left(a-3\right)\left(a+3\right)\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\=\frac{5\left(a+3\right)}{\left(a-3\right)\left(a+3\right)}+\frac{3\left(a-3\right)}{\left(a+3\right)\left(a-3\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{5\left(a+3\right)+3\left(a-3\right)}{\left(a-3\right)\left(a+3\right)}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Ba-3%7D%2B%5Cfrac%7B3%7D%7Ba%2B3%7D%5C%5C%5Cmathrm%7BLeast%5C%3ACommon%5C%3AMultiplier%5C%3Aof%5C%3A%7Da-3%2C%5C%3Aa%2B3%3A%5Cquad%20%5Cleft%28a-3%5Cright%29%5Cleft%28a%2B3%5Cright%29%5C%5C%5Cmathrm%7BAdjust%5C%3AFractions%5C%3Abased%5C%3Aon%5C%3Athe%5C%3ALCM%7D%5C%5C%3D%5Cfrac%7B5%5Cleft%28a%2B3%5Cright%29%7D%7B%5Cleft%28a-3%5Cright%29%5Cleft%28a%2B3%5Cright%29%7D%2B%5Cfrac%7B3%5Cleft%28a-3%5Cright%29%7D%7B%5Cleft%28a%2B3%5Cright%29%5Cleft%28a-3%5Cright%29%7D%5C%5C%5Cmathrm%7BSince%5C%3Athe%5C%3Adenominators%5C%3Aare%5C%3Aequal%2C%5C%3Acombine%5C%3Athe%5C%3Afractions%7D%3A%5Cquad%20%5Cfrac%7Ba%7D%7Bc%7D%5Cpm%20%5Cfrac%7Bb%7D%7Bc%7D%3D%5Cfrac%7Ba%5Cpm%20%5C%3Ab%7D%7Bc%7D%5C%5C%3D%5Cfrac%7B5%5Cleft%28a%2B3%5Cright%29%2B3%5Cleft%28a-3%5Cright%29%7D%7B%5Cleft%28a-3%5Cright%29%5Cleft%28a%2B3%5Cright%29%7D)
![\mathrm{Expand}\:5\left(a+3\right)+3\left(a-3\right):\quad 8a+6\\=\frac{8a+6}{\left(a-3\right)\left(a+3\right)}](https://tex.z-dn.net/?f=%5Cmathrm%7BExpand%7D%5C%3A5%5Cleft%28a%2B3%5Cright%29%2B3%5Cleft%28a-3%5Cright%29%3A%5Cquad%208a%2B6%5C%5C%3D%5Cfrac%7B8a%2B6%7D%7B%5Cleft%28a-3%5Cright%29%5Cleft%28a%2B3%5Cright%29%7D)
3 boys + 8 girls = 11 students
3 boys/ 11 students = x boys /33 students
using cross products
3 * 33 = x*11
divide by 11
99/11 = x
x=9
There are 9 boys
Answer:
D
Step-by-step explanation:
The pentagon has 5 interior angles that add up to 360. To find the angle of rotational symmetry, divide 360 by 5 (you get 72). So if you rotated the shape 72 degrees, it will map onto itself. 72 times 2 is 144, and that's rotating the shape 72 degrees twice, so it will stay the same.
Answer:
Step-by-step explanation:
discriminant=b²-4ac=8²-4(7)(2)=64-56=8