Answer:
x = -57/14, y = -6/7
Step-by-step explanation:
2x + y = -9
-(2x - 5y = -3)
-------------------- (Add the two equations together)
7y = -6
y = -6/7
2x - 6/7 = -9
2x = -57/7
x = -57/14
Answer: When the Block's speed is at maximum
Step-by-step explanation:
From the formula of find acceleration
acceleration = speed/time
So we can tell that acceleration is directly proportional to speed
So when the speed reaches its maximum, acceleration is also maximum, when the speed starts reducing, acceleration also reduced,
Note: talking to account initial and final speed, if these are both the same, for a specific time, acceleration will become zero, because the change in velocity within that specific time is also zero
Step-by-step explanation:
4/3-1/2
=8-3/6
=5/6
thanks for the question
Answer:
<em>Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.</em>
<em>Choice 1.</em>
Step-by-step explanation:
<u>Reflection over the x-axis</u>
Given a point A(x,y), a reflection over the x-axis maps A to the point A' with coordinates A'(x,-y).
The figure shows triangles ABC and A'B'C'. It can be clearly seen the x-coordinates for each vertex of both triangles is the same and the y-coordinate is the inverse of it counterpart. For example A=(5,3) and A'=(5,-3)
Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.
Choice 1.
Answer:p = (2100 - x)/25
Step-by-step explanation:
According to the law of demand, when the price,p of the brand of MP3 players is is high, the quantity,x of the brand of MP3 players demanded would be low and when the price,p of the brand of MP3 players is is low, the quantity,x of the brand of MP3 players demanded would be high.
To derive the demand equation, we would apply the slope intercept form of equation which is expressed as
y = mx + c
Where
m = slope
c = intercept
The slope, m would be
(y2 - y1)/(x2 - x1)
Slope = (1100 - 100)/(40 - 80) = 1000/-40
Slope = - 25
To find the y intercept, we would substitute m = - 25, y = 1100 and x = 40 into y = mx + c. It becomes
1100 = - 25 × 40 + c
1100 = - 1000 + c
c = 1100 + 1000 = 2100
y = - 25x + 2100
Therefore, the demand equation is
x = - 25p + 2100
25p = 2100 - x
p = (2100 - x)/25
