<u> 4 x² = 64</u>
Divide each side by 4 : x² = 16
Take the square root
of each side: x = √16
x = <em>+ 4</em>
and
x = <em>- 4</em> .
Answer:
She didn't take the LCM, made an error while cross multiplying
x = -6
Step-by-step explanation:
a)she didn't take the LCM before cross multiplying.
Also, didn't cross multiply correctly
b) 1 -2/(x-2) = (x+1)/(x+2)
1 - 2/(x-2) = (x+2-1)/(x+2)
1 - 2/(x-2) = 1 - 1/(x+2)
1 - 2/(x-2) = 1 - 1/(x+2)
-2(x+2) = -1(x-2)
-2x-4 = -x+2
x = -6
<span>Distance = d miles ; rate = 60 mph ; time = d/60 hrs
distance = d miles ; rate = 50 mph ; time = d/50 hrs
----------------------
Round-trip DATA:
distance = 2d miles ; rate = 55 mph ; time = (2d)/55 hrs
-----------------------------------------------------------
Equation:
Roundtrip time - other time = -1/2 hr
(2d)/55 - [(d/60)+(d/50)] = -1/2
(2d)/55 - [(110d)/(50*60)] = -1/2
---
600(2d) - 11[110d] = -16500
1200d - 1210d = -16500
-10d = -16500
distance = 1650 miles
Hope this helped :)</span>
