All of the Questions are solved on the images shown below. These images are from Microsoft Whiteboard that I created.
<h2>
I'm in sixth grade, and don't know how to answer 2 and 5. So I'm only going to answer questions 1, 3 and 4. </h2>
really sorry about that
1. Answer = 90m²
3. Answer = 50in²
4. Answer = 108cm²
yup, this is how weird i am
I took the screen shot of answer 3 before 1 lol!
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so sorry I couldn't help on all problems
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Thanks!
Have a great day!
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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:
x(85/100)
Step-by-step explanation:
100-15 = 85
x(85/100)
Answer:
sin²(α)
Step-by-step explanation:
sin⁴(α) − cos⁴(α) + cos²(α)
sin⁴(α) − cos²(α) (cos²(α) − 1)
sin⁴(α) − cos²(α) (-sin²(α))
sin⁴(α) + sin²(α) cos²(α)
sin²(α) (sin²(α) + cos²(α))
sin²(α) (1)
sin²(α)
2x + 5y = 15
5y = -2x + 15
y = -(2/5)x + 3
y = mx + b
1 = -(2/5)(-10) + b
1 = 4 + b
-3 = b
So the equation of the line would be:
y = -(2/5)x - 3