Answer:
B:3(x-1)+2x=3(x-1)+2
Step-by-step explanation:
Aanya wrote the four equations that are shown below.
We need to check each equation and see which equations have same coefficient of x terms on both sides of equation.
A: 6x-8=4(x-2)+2x
Distribute 4 inside the parenthesis
6x-8=4x- 8+2x
We know 4x + 2x is 6x. So, both sides we have 6x. Hence no solution for this equation.
B:3(x-1)+2x=3(x-1)+2
Distribute 3 inside the parenthesis
3x - 3 + 2x = 3x - 3 + 2
5x - 3 = 3x- 3 + 2
Coefficient of x are not same on both sides. So this equation has exactly one solution.
C:7x+2-x=6(x+2)
Distribute 6 inside the parenthesis
6x + 2= 6x + 12
Both sides we have 6x. Hence no solution for this equation.
D:4(x+3)+x=5(x+1)+7
Distribute 4 and 5 inside the parenthesis
5x + 12= 5x + 5+ 12
Both sides we have 5x. Hence no solution for this equation.
Answer: XVR: 125 ; RVS: 55 ; WVS: 125 ; RST: 110 ; RSV: 70
Step-by-step explanation:
XVR: XVR is equal to WVS (alternate angles), and WVS plus XVW equals 180° (definition of a straight line)
So, 180° - 55° = 125° (this is the measure of SVW, but remember, SVW is equal to XVR)
RVS: RVS is equal to XVW since they're alternate angles, so we know that RVS is equal to 55°
WVS: We already solved this in the beginning
RST: First, we need to find the measure of RSV. To find the measure of RSV, use the fact that a triangle adds up to 180°. We know that the angle RVS equals 55°, and that angle VRS is also equal to 55°. So, we can use this equation:
RSV = 180° - (55° + 55°)
RSV = 70°
Now that we know RSV = 70°, we can find RST
180 - (RSV + RST)
180 - (70° + RST)
RST = 110°
RSV: We already found this
Sorry, that was a lot. Hope it wasn't too confusing.
14:12
21:18
28:24
That should be the answer
Answer:

Step-by-step explanation:
Let
h(t) ---> the height of an object in meters
t ----> the time in seconds
we have

For t=6 sec
substitute in the quadratic equation the value of t and solve for h

