Answer:
![\boxed{\sqrt{65}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csqrt%7B65%7D%7D)
Step-by-step explanation:
The radius of circle D is the distance from the origin to (-4, -7).
In math, the distance formula gives us the distance between two points, (x₁, y₁) and x₂, y₂):
![d = \sqrt{(x _{2}-x_{1})^{2} +(y _{2}-y_{1})^{2}}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x%20_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%20%2B%28y%20_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D%7D)
You are really using Pythagoras' Theorem to find the distance. You are building a right triangle whose hypotenuse connects two given points.
For example, in the blue triangle below, the distance between the points (0,0) and (-4, -7) is
![d = \sqrt{(0 - (-4))^{2} +(0 -(- 7))^{2}}\\\\ = \sqrt{4^{2} +7^{2}}\\ = \sqrt{16 + 49}\\=\sqrt{65}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%280%20-%20%28-4%29%29%5E%7B2%7D%20%2B%280%20-%28-%207%29%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%20%5Csqrt%7B4%5E%7B2%7D%20%2B7%5E%7B2%7D%7D%5C%5C%20%3D%20%5Csqrt%7B16%20%2B%2049%7D%5C%5C%3D%5Csqrt%7B65%7D)
![\text{The radius of the circle is }\boxed{\mathbf{\sqrt{65}}}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20radius%20of%20the%20circle%20is%20%7D%5Cboxed%7B%5Cmathbf%7B%5Csqrt%7B65%7D%7D%7D)
They could have added measurements on the map so they know the exact distance of the capsule from other objects around the school.
The could have create an actual physical marker on the ground at the location of a capsule, like a sign, rock or flag.
Answer:
50 chances to roll a 2
Step-by-step explanation:
Since Stephen is most likely rolling a 6 sided dice, divide 300 by 6 because all sides have an equal change of being rolled.
300/6 = 50
Answer:
[See Below]
Step-by-step explanation:
✦ So when we see
, these are powers or exponents.
✧ We solve them like this:
✦ So the answers would be:
~<em>Hope this helps Mate. If you need anything feel free to message me. </em>
Answer:
Step-by-step explanation:
-0.5(3x + 5) and -1.5x + 2.5
-0.5(3x + 5)...distribute the -0.5 thru the parenthesis
-1.5x - 2.5
no, these are not equivalent.... one is -1.5x + 2.5 and the other is -1.5x - 2.5....not the same