Answer;
S
=
2
(
(
−
y
+
11
2
,
y
−
7
2
)
2
+
4
−
3
(
−
y
+
11
2
,
y
−
7
2
)
)
y
x
=
−
y
2
+
11
2
x
=
y
2
−
7
2
Step-by-step explanation:
divide each term by y then simplify
Answer:
65625/4(x^5)(y²)
Step-by-step explanation:
Using binomial expansion
Formula: (n k) (a^k)(b ^(n-k))
Where (n k) represents n combination of k (nCk)
From the question k = 5 (i.e. 5th term)
n = 7 (power of expression)
a = 5x
b = -y/2
....................
Solving nCk
n = 7
k = 5
nCk = 7C5
= 7!/(5!2!) ------ Expand Expression
=7 * 6 * 5! /(5! * 2*1)
= 7*6/2
= 21 ------
.........................
Solving (a^k) (b^(n-k))
a = 5x
b = -y/2
k = 5
n = 7
Substituting these values in the expression
(5x)^5 * (-y/2)^(7-5)
= (3125x^5) * (-y/2)²
= 3125x^5 * y²/4
= (3125x^5)(y²)/4
------------------------------------
Multiplying the two expression above
21 * (3125x^5)(y²)/4
= 65625/4(x^5)(y²)
Answer:
<u>2y - 5 (read below)</u>
Step-by-step explanation:
-8y + 10y = 2y
2 + (-7) = -5
Your expression could/would be:
2y - 5.
Hope this helps!
Answer:
35 miles per hour
Step-by-step explanation:
Ann travels a total of (100 +40) = 140 miles in (3 +1) = 4 hours. Her average speed is the ratio of these:
speed = distance/time
speed = (140 miles)/(4 hours) = 35 miles/hour
