Answer:
Step-by-step explanation:
Step 1: Simplify square roots
√72 = 6√2
√50 = 5√2
So, 
Step 2: Cancel like terms
Step 3: Rewrite
And we should get our answer!
The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle.
Hope It Helped! :)
Answer: p= -3/13
Step-by-step explanation:
-10+26p=-16
+10 +10
26p =-6
26 26
p= -3/13
Answer:
a) positive direction: t < 2s & t>6s ; negative direction: 2s < t < 6s
b) 7 m
c) 71 m
Step-by-step explanation:
Given:
v(t) = 3t^2 -24t +36 [0 , 7]
Find:
a) The value of time when particle is moving in positive direction:
The change in direction of the particle can be determined by v(t) > 0
Hence,
0 < 3t^2 -24t +36
0 < t^2 - 8t + 12
0 < (t - 2)*(t - 6)
t < 2s , t > 6s
The particle travels in positive direction in the interval t < 2s and t > 6s , While it travels in negative direction when 2s < t < 6s.
b) The displacement ds over the given interval [ 0 , 7 ]
ds = integral (v(t)).dt
ds = t^3 -12t^2 +36t
ds = 7^3 -12*7^2 +36*7
ds = 7 m
c) Total distance traveled in the interval:
Total distance= ds(0-2) + ds(2-6) + ds(6-7)
D = 2*(2^3 -12*2^2 +36*2) - 2*(6^3 -12*6^2 +36*6) + 7
D = 2*32 - 2*0 + 7
D = 71 m
Answer:
1. C) 2 (x-2)(x-1)
2. D) cannot be factored
3. B) (x-8)(x+5)
4. D) 2 (x+5)(x-5)
5. D) (x+5)(x-3)
hope this was helpful! let me know if you needd the steps! c:
