28. 6x+42-20=6x
42-20=0
42-20 gives you 22
22=0
Statement is false
30. -2x-4=-2x-3-1
-2x-4=-2x-4
Statement is true because both sides are identical
32. 2x+8-5=2x+3
8-5=3
3=3
Statement is true for any value of x
34. 3x+(x+4)=18
3x+x+4=18
4x+4=18
4x=18-4
4x=14 (next divide both sides by 4)
x= 7 over 2
7/2
Answer: whats the recorded data i cant help if i don't know the data
Step-by-step explanation:
Answer:
1.5secs
Step-by-step explanation:
Given the expression that models the height as;
h(t) = -16t²+20t +6
The ball will touch the ground at when h(t) = 0
0 = -16t²+20t +6
Swap
-16t²+20t +6 = 0
Divide through by -2
8t²-10t-3 = 0
Expand using the general formula
t = -(-10)±√(-10)²-4(8)(-3)/2(8)
t = 10±√100+96/16
t = 10±√196/16
t = 10±14/16
t = 10+14/16
t = 24/16
t = 1.5
Hence it will take the ball 1.5secs to hit the ground
Answer:
-i
Step-by-step explanation:
i^0=1
i^1=i
i^2=-1
i^3=-i
i^4=1
This repeats so we want to see how many 4 factors of i there is in i^(23) which is 5 with a remainder of 3.
So i^(23)=i^3=-i.
i^(23)=i^(5*4+3)=(i^4)^5 * (i^3)=(1)^5 * (-i)=1(-i)=-i.
Answer:
(x - 10)^2 + (y - 7)^2 = 2^2
Step-by-step explanation:
Start with the standard equation of a circle with center (h, k) and radius r:
(x - h)^2 + (y - k)^2 = r^2
Substitute 10 for h, 7 for k and 2 for r, obtaining:
(x - 10)^2 + (y - 7)^2 = 2^2