Start with the second expression. That factors easily into (8x-3)(8x+3).
Since 64x^2 + 48x + 9 has no negative signs, I'd bet that the common factor is (8x+3). Divide <span>64x^2 + 48x + 9 by that to verify.
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Answer:
8 - 
Step-by-step explanation:
For this problem you have to use the 45-45-90 triangle theorem and 30-60-90 theorem.
For 45-45-90, the isosceles sides = 4, so the hypotenuse of the 30-60-90 triangle is 4 times 2, which is 8. If x is 8, then since y is the side across from the 60 angle, y is 
. Since this really can't be simplified after y is subtracted from x, the final answer is just 8 - .
Answer:
Plot at (8,2)
Step-by-step explanation:
Find the general solution by separating the variables then integrating:
dy / dx = cosx℮^(y + sinx)
dy / dx = cosx℮ʸ℮^(sinx)
℮^(-y) dy = cosx℮^(sinx) dx
∫ ℮^(-y) dy = ∫ cosx℮^(sinx) dx
-℮^(-y) = ℮^(sinx) + C
℮^(-y) = C - ℮^(sinx)
-y = ln[C - ℮^(sinx)]
y = -ln[C - ℮^(sinx)]
Find the particular solution by solving for the constant:
When x = 0, y = 0
-ln(C - 1) = 0
ln(C - 1) = 0
C - 1 = 1
C = 2
<span>y = -ln[2 - ℮^(sinx)]
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!</span>
Answer:
1 mile = 8.5 minutes
Step-by-step explanation:
<u>Determining the equation:</u>
Kira ran 8 1/5 miles in 69 7/10 minutes.
⇒ Kira = 8 1/5 miles = 69 7/10 minutes
⇒ 41/5 miles = 697/10 minutes
<u>Simplifying both sides:</u>
⇒ 41/5 miles = 697/10 minutes
⇒ 41 miles = 697/2 minutes
<u>Using cross multiplication:</u>
⇒ 41 × 2 miles = 697 minutes
⇒ 82 miles = 697 minutes
<u>Dividing 82 both sides:</u>
⇒ 82 miles = 697 minutes
⇒ 82/82 miles = 697/82 minutes
⇒ 1 mile = 8.5 minutes
