Answer:
it's (6,0) I can't explain though
( 4 / 5 )^-2 = ( 5 / 4 )^2 = 25 / 16 ;
Answer:
We have the measures:
1023 cm
2.3 m
8.72m
6430 mm
1200 mm
6.4 cm
2.5m
0.06km
Now let's write all those measures in the same unit, let's use meters.
We know that:
1cm = 0.01m
1mm = 0.001m
1 km = 1000m
Then, we can rewrie the measures as:
1023 cm = 1023*0.01 m = 10.23 m
2.3 m
8.72m
6430 mm = 6430*0.001 m = 6.430 m
1200mm = 1200*0.001 m = 1.2 m
6.4 cm = 6.4*0.01m = 0.064 m
2.5m
0.06km = 0.06*1000km = 60m
Then the order, from smallest to largest is:
6.4 cm
1200mm
2.3 m
2.5m
6430 mm
8.72m
1023 cm
0.06km
Answer:
180 degree clockwise rotation about center and a dilation of 0.5.
Step-by-step explanation:
well, the starting equation and the target format have been given.
let's do the multiplications and compare the target with the starting information.
from there we see what is different or missing.
x² + 14x + 13 = 0
and
(x - p)² = q
x² - 2px + p² = q
x² - 2px + (p² - q) = 0
now let's compare the different parts :
x² = x²
-2px = 14x
-2p = 14
p = -7
p² - q = 13
-7² - q = 13
49 - q = 13
36 - q = 0
q = 36
so, the square (x - p)² = (x + 7)² is completed when
x² + 14x + 49 = 0
but we have only "+ 13". so we need to add 36 to get 49. but we need to do it on both sides, to keep the equation true :
x² + 14x + 13 + 36 = 36
x² + 14x + 49 = 36
(x + 7)² = 36
just as we calculated already above.
and now this can be solved by pulling the square root on both sides (a quadratic equation has always 2 solutions)
x + 7 = ±6
x1 = 6 - 7 = -1
x2 = -6 - 7 = -13
