Answer:
y < 2/3x + 4
Step-by-step explanation:
Hi there! So first, we need to subtract 2x from both sides:
-3y > -2x - 12
Now, we need to divide both sides by -3 to isolate y. Since we are dividing by a negative value, <u>our</u><u> </u><u>inequality</u><u> </u><u>symbol</u><u> </u><u>will</u><u> </u><u>be</u><u> </u><u>flipped</u><u> </u><u>from</u><u> </u><u>></u><u> </u><u>to</u><u> </u><u><</u><u>.</u>
Your final answer is:
y < 2/3x + 4
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)
4(-5y) + 2y = 180
-20y + 2y = 180
-18y = 180
y = -10
x = 50
44 sq inches, i am so not sure.
Answer:
Step-by-step explanation:
we can use the trigonometric function in a right triangle
cos x = adjacent side to the angle /hypothenuse
cos 36°= x/10 ; multiply both sides by 10
10 * cos 36° = x ; make sure your calculator mode is in degrees
8.1 = x
