Yes, they both are 2/7
Proof: Left-hand side
Simplify the following:
12/42
The gcd of 12 and 42 is 6, so 12/42 = (6×2)/(6×7) = 6/6×2/7 = 2/7:
Answer: 2/7
Right-hand side:
Simplify the following:
10/35
The gcd of 10 and 35 is 5, so 10/35 = (5×2)/(5×7) = 5/5×2/7 = 2/7:
Answer: 2/7
Answer:
(2,-5) and (2,1).
Step-by-step explanation:
We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.
A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.
Standard form of a circle is
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
where, (h,k) is center and r is the radius.
![(x-(-2))^2+(y-(-4))^2=(5)^2](https://tex.z-dn.net/?f=%28x-%28-2%29%29%5E2%2B%28y-%28-4%29%29%5E2%3D%285%29%5E2)
![(x+2)^2+(y+2)^2=25](https://tex.z-dn.net/?f=%28x%2B2%29%5E2%2B%28y%2B2%29%5E2%3D25)
Now, put x=2.
![(2+2)^2+(y+2)^2=25](https://tex.z-dn.net/?f=%282%2B2%29%5E2%2B%28y%2B2%29%5E2%3D25)
![(4)^2+(y+2)^2=25](https://tex.z-dn.net/?f=%284%29%5E2%2B%28y%2B2%29%5E2%3D25)
![(y+2)^2=25-16](https://tex.z-dn.net/?f=%28y%2B2%29%5E2%3D25-16)
![(y+2)^2=9](https://tex.z-dn.net/?f=%28y%2B2%29%5E2%3D9)
Taking square root on both sides.
![y+2=\pm\sqrt{9}](https://tex.z-dn.net/?f=y%2B2%3D%5Cpm%5Csqrt%7B9%7D)
![y+2=\pm3](https://tex.z-dn.net/?f=y%2B2%3D%5Cpm3)
![y+2=-3\text{ or }y+2=3](https://tex.z-dn.net/?f=y%2B2%3D-3%5Ctext%7B%20or%20%7Dy%2B2%3D3)
![y=-5\text{ or }y=1](https://tex.z-dn.net/?f=y%3D-5%5Ctext%7B%20or%20%7Dy%3D1)
So, the y-coordinates of the points are -5 and 1.
Therefore, the required points are (2,-5) and (2,1).
Answer:
-19.68
Step-by-step explanation:
(0.2 + (-5) × (4.1)
-4.8 × (4.1)
-19.68
Answer:
The pharmacy should give Marilyn 135 tablets to fill the isoniazid for 45 days
Step-by-step explanation:
Marilyn has to take isoniazid 100 milligrams tablet 3 times a day which means three tablets a day.
The pharmacy has to provide the tablets for 45 days
So,
Total tablets that will be provided by the pharmacy are:
45*3 = 135 tablets ..