9514 1404 393
Answer:
m∠B < m∠A < m∠C
Step-by-step explanation:
We can work with the triangle inequality to find that the side measures form a triangle when n > 5/4. For the given value of n ≥ 4, we don't need to be concerned with whether a triangle is formed or not.
For n = 4, the side lengths are ...
a = 2(4) = 8
b = (4) +3 = 7
c = 3(4) -2 = 10
The longest side is opposite the largest angle, so the ordering of angles is ...
m∠B < m∠A < m∠C
_____
The triangle inequality requires all of these inequalities be true:
- a+b > c ⇒ 3n+3 > 3n-2 . . . always true
- b+c > a ⇒ 4n+1 > 2n ⇒ n > -1/2
- c+a > b ⇒ 5n-2 > n+3 ⇒ n > 5/4
That will be the case for n > 5/4. The attached graph shows the sides and angles keep the same order for n > 3.
Answer:
Step-by-step explanation:
1.In the equation there is no y-intercept so it will be at 0
2.The slope or rise over run is 3/1 and is positive because there are no negative signs. Going up 3 and to the right 1 is how to mark the points on your graph and the opposite side will be doing a -3 and -1 by going down three from the 0 points and to the left 1.
3.As seen in the graph there are the points given and the line directed on them.
4.We already determined that our slope is positive
m=3
b=0
Answer:
Step-by-step explanation:
9y = -4x + 6
y = -4/9x + 2/3
Answer:
Step-by-step explanation:
<u>Instantaneous Velocity</u>
Given r(t) as the vector function of the position for time t, the instantaneous velocity is computed as:
We are given:
Thus:
Computing the derivative:
Evaluating for t=π/4:
3, 5, and 6 are incorrect.
In number 3, you have all the steps correct, except for the last one. Instead of adding 19 to 25, you would multiply it, because there is no addition sign in between the absolute value sign and 5^2. Thus making the answer 475.
In number 5, you first square -2. -2 * -2 ( or -2^2) = 4. Next, you square 3. 3 * 3 (3^2) is 9. Then, you subtract 9 from 4 to get -5. The absolute value of -5 is 5, making 5 the answer. Absolute value is kind of like the distance from zero, for instance -5 is 5 units away from 0 and the absolute value can never be a negative number. Thus making 5 the answer.
In number 6, you first solve the parenthesis. 2 - 3 = -1 and -1 * -1 (-1^2) is 1. Next, you square -3. -3 * -3 (-3^2) = 9. Then, you subtract 1 from 9 to get 8. The absolute value of 8, is 8. Finally, multiply -4 and 8 to get -32. Thus meaning -32 is the answer.
I hope this helps!