3 years ago

Which equation represents a line that passes through (2 -1/2) and has a slope of 4

Mathematics

1 answer:

maksim [4K]3 years ago

3 0

Answer:

y + 1/2 = 4(x - 2)

Step-by-step explanation:

Use the point-slope equation y - k = m(x - h).

Inserting the given info, we get y + 1/2 = 4(x - 2)

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Twenty-seven less than twice a number is -1

11Alexandr11 [23.1K]

Answer: 13

Step-by-step explanation:

2x-27=-1

2x=26

X=13

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3 years ago

Solve 6 sin((π/5)x)=5 for the four smallest positive solutions

cupoosta [38]

Answer:

1.568, 3.432, 11.568, 13.432

Step-by-step explanation:

Divide equation $6\sin\left(\dfrac{\pi }{5}x\right)=5$ by 6:

$\sin\left(\dfrac{\pi }{5}x\right)=\dfrac{5}{6}.$

Then

$\dfrac{\pi }{5}x=(-1)^k\arcsin\left(\dfrac{5}{6}\right)+\pi k,\ k\in Z,$

$x=(-1)^k\dfrac{5}{\pi }\arcsin\left(\dfrac{5}{6}\right)+5k,\ k\in Z.$

Since $\arcsin\left(\dfrac{5}{6}\right)\approx 56^{\circ}\approx \dfrac{\pi }{3.2},$

four smallest positive solutions are

1. $\dfrac{5}{3.2}\approx 1.568,\ k=0;$

2. $\dfrac{-5}{3.2}+5\approx 3.432,\ k=1;$

3. $\dfrac{5}{3.2}+10\approx 11.568,\ k=2;$

4. $\dfrac{-5}{3.2}+15\approx 13.432,\ k=3.$

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3 years ago

Write an expression.Then find the 100th term in the sequence. 3,10,17,24,31,38...

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The correct answer would be C

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Last month, a company had receipts totaling $3,700. The company had overhead costs of $444. What is the rate of overhead?

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The rate of the over head is 12%

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Please answer something meaningful for grade 7

erastova [34]

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