Answer:
sqrt(146)
Step-by-step explanation:
The distance between these two points can be the hypotenuse of our right triangle.
We can create a right triangle with two legs of length 11 and 5. To solve for the hypotenuse, we apply the pythagorean theorem
sqrt(5^2+11^2)=sqrt(146)
I attached a graph to help you visualize the triangle and how it works.
Answer:
1. B 2. B 3. D 4. A 5. A 6. A 7. B 8. C
Step-by-step explanation:
1. 6 and 8 are right next to each other. Making them 'adjacent angles' as 'adjacent' means 'next to'
2. 2 and 3 are vertically opposite angles, and these angles are equal to each other
3. 3 and 6 are alternate angles. These angles form a 'Z' shape
4. Similar to q2, 1 and 4 are vertically opposite angles
5. Yes they are similar because there are two angles which equal
6. The angles of the big triangle will correlate to the small triangle, therefore x is 40
7. Similar triangles will have the same angles. The top angle of the small triangle is 60, as stated in the big triangle, and 70 is given. The sum of interior angles of a triangle is 180. So, add 60 and 70, then minus from 180
8. Again, same concept as q7, the angles are given to you and you just need to correspond each angle to its respective area, then minus the total of the two given angles from 180
Hope this helped you!!
Answer:
Step-by-step explanation:
- x − (5 − 3x) ≤ 2x − 1
- x - 5 + 3x ≤ 2x - 1
- 4x - 5 ≤ 2x - 1
- 4x - 2x ≤ 5 - 1
- 2x ≤ 4
- x ≤ 2 or x ∈ (- oo, 2]
The graph includes all point to the left from point 2, same point included
Answer:
-12
Step-by-step explanation:
<u>Step 1: Substitute</u>
ab -> -4 for a and 3 for b
(-4) * (3)
<em>-12</em>
Answer: -12
