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iragen [17]
2 years ago
10

10. What is the equation of a line that passes through the point (4, 1) and is parallel to the line 2x - y = 42 A. y = 2x + 2 B.

y = 2x - 7 C. y = -2x + 6 D. y=-2x + 9​
Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
7 0

9514 1404 393

Answer:

  2x -y = 7

Step-by-step explanation:

Only the constant is different for the parallel line. It must be chosen so that the given point satisfies the equation.

  2x -y = 2(4) -(1) = 7

The equation is ...

  2x -y = 7

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Find the indefinite integral. (use c for the constant of integration.) sin3 5θ cos 5θ dθ
Elina [12.6K]

I'm guessing you mean

\displaystyle\int\sin^35\theta\cos5\theta\,\mathrm d\theta

Let t=5\sin\theta. Then \mathrm dt=5\cos5\theta\,\mathrm d\theta. So we have

\displaystyle\int\sin^35\theta\cos5\theta\,\mathrm d\theta=\frac15\int\sin^35\theta(5\cos5\theta)\,\mathrm d\theta

=\displaystyle\frac15\int t^3\,\mathrm dt

=\dfrac{t^4}{20}+C

=\dfrac{\sin^4\5\theta}{20}+C

7 0
3 years ago
Ms. Li spent $840 on a vacation. She spent 2/3 of the amount on a plane ticket and 1/2 of the remaining amount on food. How much
olya-2409 [2.1K]
\bf 840\cdot \cfrac{2}{3}\impliedby \textit{on the plane ticket}
\\\\\\
\left( 840\cdot \cfrac{2}{3} \right)\cdot \cfrac{1}{2}\impliedby \textit{ on food}
4 0
2 years ago
Tanner is an 8th grader in Texas and wants to attend Stanford University after he graduates from
postnew [5]

Tanner will have to save $3,193.34 per month for 4 years to pay his tuition for Stanford.

Tanner's tuition over 4 years to get his Bachelor's degree all together will cost $185,280 (multiply 46,320×4). His parents will pay $32,000 (multiply 8,000×4) of his whole tuition. If we do the equation $185,280-$32,000 we get $153,280 which is what Tanner will have to pay. There are 48 months in 4 years. To find the answer you must solve the problem 48x= $153,280. To solve the problem divide both sides by 48. The answer to this equation is technically $3,193.3333333333 but for simplicity's sake we can round to $3,193.34. That is why the answer to this question is $3,193.34 per month of savings.

5 0
3 years ago
Plz help me well mark brainliest!!
baherus [9]

Answer:

735 mm³

Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
What is the trigonometric ratio for sin C ?<br><br> Enter your answer, as a simplified fraction.
Contact [7]
By definition we have to:
 Sin (x) = C.O / h
 Where,
 x = angle
 C.O = opposite leg
 h: hypotenuse.
 Substituting values we have:
 Sin (C) = AB / 82
 We should look for AB. For this, we use the following relationship:
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 Clearing AB:
 AB = root ((82 ^ 2) - (80 ^ 2))
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 Substituting we have:
 Sin (C) = 18/82
 Simplifying:
 Sin (C) = 9/41

 Answer:
 
the trigonometric ratio for sin C is:
 Sin (C) = 9/41
5 0
3 years ago
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