Answer:
25
Step-by-step explanation:
Here we are supposed to find the distance between two coordinates ( 4,10) and (-3,-14).
Let us do this step by step with detailed explanation.
We will use distance formula in order to find the distance between them. The distance formula is given as
![D=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%20%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%20%7D)
Here we have
![x_{2}=-3\\x_{1}=4\\y_{2}=-14\\y_{1}=10\\](https://tex.z-dn.net/?f=x_%7B2%7D%3D-3%5C%5Cx_%7B1%7D%3D4%5C%5Cy_%7B2%7D%3D-14%5C%5Cy_%7B1%7D%3D10%5C%5C)
Replacing them in the formula we get
![D=\sqrt{(-3-4)^{2} +(-14-10)^{2} }\\D=\sqrt{(-7)^{2} +(-24)^{2} }\\D=\sqrt{49+ 576 }\\D=\sqrt{625 }\\D=25\\](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28-3-4%29%5E%7B2%7D%20%2B%28-14-10%29%5E%7B2%7D%20%7D%5C%5CD%3D%5Csqrt%7B%28-7%29%5E%7B2%7D%20%2B%28-24%29%5E%7B2%7D%20%7D%5C%5CD%3D%5Csqrt%7B49%2B%20576%20%7D%5C%5CD%3D%5Csqrt%7B625%20%7D%5C%5CD%3D25%5C%5C)
Hence our distance is 25 units
Answer:
Thus, 2645 needs to be divided by 5 to become a perfect square. Thus, the required smallest whole number by which it should be divided so as to get a perfect square number is 5 and the square root is √529= 23.
Step-by-step explanation:
Answer:
p = 3
Step-by-step explanation:
27p + 6.25 = 87.25
- 6.25 -6.25 = 27p + 0 = 81 = 27p = 81
81/27 = 3
p = 3
Answer:
1) 120
2) 30
3) 30
Step-by-step explanation:
Angle 1 is the same as the angle shown at 120
Use that to find 2, which is also 3
so 180-120 = 60
divide by 2
2 and 3 are both 30 each