Given the triangle
PQR
with points
P(8,0)
Q(6,2)
R(-2,-4)
And the triangle
P'Q'R'
with points
P'(4,0)
Q'(3,1)
R'(-1,-2)
Part A. Scale factor
Using the vertex
P( 8, 0)
P'(4,0)
the dilatation factor is given by
The triangle has a dilatation factor of 1/2
Part B:
P''Q''R'' after using P'Q'R' reflected about the y axis
to make a reflection over the y axis
coordinates (x,y) turn into coordinates (-x,y)
as follows
Then triangle P''Q''R'' has coordinates
P''(-4,0)
Q''(-3,1)
R''(1,-2)
Part C:
PQR is congruent to P''Q''R''?
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Then the triangles are not congruent
Let l, t, b represent the numbers of lions, tigers, bears, respectively.
2l +3t +3b = 156 . . . . . . . 156 meals per day are supplied
l +t = 3b . . . . . . . . . . . . . . there are 3 times as many great cats as bears
l +t +b = 68 . . . . . . . . . . . there are a total of 68 animals
_____
The last 2 equations tell you
.. 4b = 68
.. b = 17
Subtracting 3 times the last equation from the first gives
.. -l = -48
There are 48 lions, 3 tigers, and 17 bears.
Answer:
The only solution I see is for x=0
Step-by-step explanation:
y=8x+2
y=-8x+2
y=y so substitute:
8X+2=-8X+2
Subtract 2 from each side
8X=-8X
divide each side by 8
x=-x
The only solution I see is for x=0
Answer:
<u>1) 187.5ms^2</u>
<u>1) 187.5ms^22) 307.5m</u>
Step-by-step explanation:
1) You can use the formula:
Force = Mass x Acceleration
750 = 4 x a
750 = 4a
750/4 = a
<u>187.5ms^2</u>
2)
For every one second it travels 12.3 meters therefore you can just do 12.3x25 = 307.5m
