Answer:
First write them in positive exponent form
(16/81)¾ × [ (9/25)^3/2 ÷ (2/5)³ ]
(2⁴×¾)/ (3⁴×¾) × [ (3² × ^3/2) / (5² ×^3/2) ÷ 2³/5³)
Simplify the terms
2³/3³ × ( 3³ / 5³ ÷ 2³/5³)
Solve the terms in the bracket
2³/3³ × (3³/5³×5³/2³)
You will get
2³/3³ × 3³/2³ = 1
They will cancel each other so the answer will be 1
Hope this helps.
If we got 560 pounds for 800 dollars and x pounds for 1 dollar, this means that x = 560*1/800 <=> x = 56/80. Performing the calulation we get that x = 0.7
The only thing you should do is to divide 3,072 by 96 and the answer is 32.
So each of them should read 32 books :)))
I hope this is helpful
have a nice day
Answer:
, you must find the midpoint of the segment, the formula for which is
(
x
1
+
x
2
2
,
y
1
+
y
2
2
)
. This gives
(
−
5
,
3
)
as the midpoint. This is the point at which the segment will be bisected.
Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula
y
2
−
y
1
x
2
−
x
1
, which gives us a slope of
5
.
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of
5
is
−
1
5
.
We now know that the perpendicular travels through the point
(
−
5
,
3
)
and has a slope of
−
1
5
.
Solve for the unknown
b
in
y
=
m
x
+
b
.
3
=
−
1
5
(
−
5
)
+
b
⇒
3
=
1
+
b
⇒
2
=
b
Therefore, the equation of the perpendicular bisector is
y
=
−
1
5
x
+
2
.
Answer:
2
Step-by-step explanation:
