In any triangle, a side is longer than the difference between the other two. A side is also less the the sum of the other two. If these two rules are not obeyed then a triangle cannot be formed by those sides.
a = 7 cm. b = 3 cm.
Then c > 7-3 = 4 cm and also, c < 7+3 = 10 cm.
4 cm < the third side < 10 cm
Answer:
1. 4(4-9m) 2. 8(x-5) 3. 7(5-3a) 4. 2(2n-1) 5. -10(3n+1) 6. 6(5n+1) 7. 10(3x+7) 8. -3(n+4) 9. 2(9-2a) 10. 8(1-k) 11. 5(8-7n) 12. 5(9x-5)
Step-by-step explanation:
Answer:
Component Form: v = <-1,6>
Magnitude of v: ||v|| = √37
Direction of v: θv = 100° (to the nearest degree)
Step-by-step explanation:
Component Form: v = <(5-6),(3-(-3))> = <-1,6>
Magnitude of v: ||v|| = √[(-1)²+(6)²] = √(1+36) = √37
Direction of v: α = tan⁻¹|6/-1| = tan⁻¹|-6| = tan⁻¹(6) = 80.53° which is your reference angle, but to verify that the angle is in the second quadrant, you'll need to do θv = 180° - 80.53° = 99.47°, therefore your direction angle is θv=100° to the nearest degree.
Answer:
The answer to this question can be described as follows:
-5 with multiplicity 3
9 with multiplicity 2
-1 with multiplicity 1
Step-by-step explanation:
Given:

Solve the above equation:

The roots of the polynomial are as follows:

That's why the roots are:
5 with multiplicity 3
9 with multiplicity 2
-1 with multiplicity 1
Hi there
The parent function is the following:

We need to translate the function 8 units left to get the function:

Therefore the answer is: 8 units left.