In this question , we have to find the region that is represented by the intersection of sets A and B .
Intersection refers to the common area , that is , the area shared by A and B .
And in the given diagram, the only region shared by A and B is region II.
So Intersection is represented by region II and the correct option is the first option .
Answer:
Step-by-step explanation:
The cost will be 7$ per month
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There are 90 fifth-graders, and each student gives the teacher $9.25.
9.25 × 90 = 832.5
They gave a total of $832.50 to the teacher.
Admission for all of the students will cost $315
832.50 - 315 = 517.5
They have $517.50 left over for lunch.
Each student will get an equal amount of $ to spend on lunch.
517.50 ÷ 90 = 5.75
Each student will get $5.75.
Answer:
d = 6
Step-by-step explanation:
![-6-d=-2d\\\\-6+6-d=-2d+6\\\\-d=-2d+6\\\\-d+2d=-2d+2d+6\\\\\boxed{d=6}](https://tex.z-dn.net/?f=-6-d%3D-2d%5C%5C%5C%5C-6%2B6-d%3D-2d%2B6%5C%5C%5C%5C-d%3D-2d%2B6%5C%5C%5C%5C-d%2B2d%3D-2d%2B2d%2B6%5C%5C%5C%5C%5Cboxed%7Bd%3D6%7D)
Hope this helps.
Answer:
Exact form:
![\sqrt{53}](https://tex.z-dn.net/?f=%5Csqrt%7B53%7D)
Decimal Form:
7.280109889280518
Step-by-step explanation:
Use the distance formula to determine the distance between 2 points.
Distance = ![\sqrt{(x_{2} -x_{1}) ^2+(y_{2} -y_{1}) ^2](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D%20-x_%7B1%7D%29%20%5E2%2B%28y_%7B2%7D%20-y_%7B1%7D%29%20%5E2)
![\sqrt{6-4^2+(-5-2)^2](https://tex.z-dn.net/?f=%5Csqrt%7B6-4%5E2%2B%28-5-2%29%5E2)
![\sqrt{(2)^2+(-7)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%282%29%5E2%2B%28-7%29%5E2%7D)
![\sqrt{4+49}](https://tex.z-dn.net/?f=%5Csqrt%7B4%2B49%7D)
≈ 7.280109889280518