Brycen can cover half a basketball court (about 14 meters) in 4.0 seconds flat! How fast can he run.
1 answer:
You might be interested in
Answer:
The coordinates of the endpoints of the side congruent to side EF is:
E'(-8,-4) and F'(-5,-7).
Step-by-step explanation:
<em>" when point M (h, k) is rotated about the origin O through 90° in anticlockwise direction or we can say counter clockwise. The new position of point </em><em>M (h, k) will become M' (-k, h) "</em>
We are given a trapezoid such that the vertices of trapezoid are:
E(-4,8) , F(-7,5) , G(-4,3) , H(-2,5)
Then the new coordinates after the given transformation is:
E(-4,8) → E'(-8,-4)
F(-7,5) → F'(-5,-7)
G(-4,3) → G'(-3,-4)
H(-2,5) → H'(-5,-2)
Hence the coordinates of the endpoints of the side congruent to side EF is:
E'(-8,-4) and F'(-5,-7).
Answer:
a.
b.
Step-by-step explanation:
We have a differential equation
y''-2 y'-35 y=0
Auxillary equation
By factorization method we are finding the solution
Substitute each factor equal to zero
D-7=0 and D+5=0
D=7 and D=-5
Therefore ,
General solution is
Let
We have to find Wronskian
Substitute values then we get
a.
We are given that y(0)=-7 and y'(0)=23
Substitute the value in general solution the we get
....(equation I)
......(equation II)
Equation I is multiply by 5 then we subtract equation II from equation I
Using elimination method we eliminate
Then we get
Substitute the value of in I equation then we get
Hence, the general solution is
b.