Answer:
Step-by-step explanation:
Work = force × distance
force = mass × acceleartion due to gravity
a four ton satellite will have a force of 4× 1000 ×10 = 40KN (1000Kg = 1 ton)
1 mile = 1609.34 metre
therefore (a) 100 miles above the earth
work = 40000 × 100×1609.34
= 6437360000J
=6.4GJ
(b) 300 miles above the earth
work = 40000×300×1609.34
= 1.93×10¹⁰ J
Let the three consecutive integers be x, x+1 and x+2.
According to the question, x+x+1+x+2=51
=>3x+3=51
=>3x+3-3=51-3
=>3x=48
=>x=16
Hence, first integer = 16,
second integer = 16 + 1 = 17 and
third integer = 16 + 2 = 18.
Answer:
x = 4
Step-by-step explanation:
Subtract 1 from both sides:
10x = 40
Divide both sides by 10:
x = 4
Answer:
p
a
+
q
a
−
r
a
+
r
b
−
q
b
−
p
b
Regroup terms.
p
a
−
p
b
+
q
a
−
r
a
+
r
b
−
q
b
Factor
p
out of
p
a
−
p
b
.
Tap for more steps...
p
(
a
−
1
b
)
+
q
a
−
r
a
+
r
b
−
q
b
Rewrite
−
1
b
as
−
b
.
p
(
a
−
b
)
+
q
a
−
r
a
+
r
b
−
q
b
Factor out the greatest common factor from each group.
Tap for more steps...
p
(
a
−
b
)
+
a
(
q
−
r
)
−
b
(
−
r
+
q
)
Factor the polynomial by factoring out the greatest common factor,
q
−
r
.
p
(
a
−
b
)
+
(
q
−
r
)
(
a
−
b
)
Factor
a
−
b
out of
p
(
a
−
b
)
+
(
q
−
r
)
(
a
−
b
)
.
Tap for more steps...
(
a
−
b
)
(
p
+
q
−
r
)
