Answer:
- -2/a³ m/s
- -2 m/s
- -1/4 m/s
- -2/27 m/s
Step-by-step explanation:
The velocity is the derivative of position:
v = ds/dt = (d/dt)(t^-2) = -2t^-3
For t=a, the velocity is
-2a^-3 = -2/a³ . . . . meters per second
For t=1, the velocity is ...
-2·1³ = -2 . . . . meters per second
For t=2, the velocity is ...
-2·2^-3 = -2/8 = -1/4 . . . . meters per second
For t=3, the velocity is ...
-2·3^-3 = -2/27 . . . . meters per second
Answer:(2,0) x=2,y=0
Step-by-step explanation:
Let's solve your system by elimination.
−x+y=−2;2x−3y=4
Multiply the first equation by 2,and multiply the second equation by 1.
2(−x+y=−2)
1(2x−3y=4)
Becomes:
−2x+2y=−4
2x−3y=4
Add these equations to eliminate x:
−y=0
Then solve−y=0 for y:
−y=0
−y/−1 =0/−1
(Divide both sides by -1)
y=0
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
−x+y=−2
Substitute0foryin−x+y=−2:
−x+0=−2
−x=−2(Simplify both sides of the equation)
−x/−1 = −2/−1
(Divide both sides by -1)
x=2
Answer:
x=2.5 or x=-4
Step-by-step explanation:
factorisation= factors:1, 2, 4, 5, 10, 20 (only the positive factors)
We will use the factors 4 and 5.
=(2x-5)(x+4)=0
2x-5=0 || x+4=0
2x=+5 || x=-4
x=2.5 or x=-4
Answer:
90 deg
Step-by-step explanation:
Recall that for a rhombus, the diagonals always intersect at right angles.
Hence angle PXM is 90 deg