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3 years ago

Convert standard form to slope 11x-8y=-48

Mathematics

2 answers:

irina [24]3 years ago

5 0

Answer:

8y=-11x-48

You have to subtract 11x bc the standard for is y=mx+b

Sergio [31]3 years ago

4 0

Answer:

Step-by-step explanation:

1. Isolate Y by subtracting 11x from both sides

2. Divide by the coefficient of y (-8)

Final Equation:

y = 11/-8x -48/-11

hope this helps!

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Find the value of tan(sin^-1(1/2))

suter [353]

If you know that $\sin\dfrac\pi3=\dfrac12$ , then you know right away

$\tan\left(\sin^{-1}\dfrac12\right)=\tan\dfrac\pi3=\dfrac1{\sqrt}3=\dfrac{\sqrt3}3$

###

Otherwise, you can derive the same result. Let $\theta=\sin^{-1}\dfrac12$ , so that $\sin\theta=\dfrac12$ . $\sin^{-1}$ is bounded, so we know $-\dfrac\pi2\le\theta\le\dfrac\pi2$ . For these values of $\theta$ , we always have $\cos\theta\ge0$ .

So, recalling the Pythagorean theorem, we find

$\cos^2\theta+\sin^2\theta=1\implies\cos\theta=\sqrt{1-\sin^2\theta}=\sqrt{1-\left(\dfrac12\right)^2}=\dfrac{\sqrt3}2$

Then

$\tan\theta=\tan\left(\sin^{-1}\dfrac12\right)=\dfrac{\sin\theta}{\cos\theta}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}=\dfrac{\sqrt3}3$

as expected.

5 0

3 years ago

Read 2 more answers

Trina is purchasing a new bike the store is having 20% off sale and she as 10% coupon of the sale price if the original price of

marusya05 [52]

20% of 89.75 is 17.95
$\frac{20}{100} = \frac{x}{89.75} \\ x = \frac{89.75 \times 20}{100} = \frac{1795}{100} = 17.95$
so :
$89.75 - 19.95 = 71.8$
the Trina's coupon will subtract the answer by 10%:

10%of 71.8 is 7.18
$\frac{10}{100} = \frac{x}{71.8} \\ x = \frac{71.8 \times 10}{100} = \frac{718}{100} = 7.18$
so the final answer is:
$71.8 - 7.18 = 64.62$
she has to pay $64.62
hope this helps

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3 years ago

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ss7ja [257]

D. If you ask the amount of projects completed using the computer lab you are asking a statistical question. Hope this helps!

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3 years ago

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1. A right triangle is shown below. Use the Pythagorean Theorem to determine the lengths of each side. Phythagorean Theorem: a2

erik [133]

This may not be very pretty.
(2x + 5) * (2x + 5) expanded is (use foil)
F = 4x^2
O = 2x * 5 = 10x
I = 2x + 5 = 10x
L = 25
Total = 4x^2 + 20x + 25

(x + 3)(x + 3) = x^2 + 6x + 9 by the same method

(2x + 7)(2x + 7) = 4x^2 + 28x + 49 Same method.

4x^2 + 20x + 25 + x^2 + 6x + 9 = 4x^2 + 28x + 49
5x^2 + 26x + 34 = 4x^2 + 28x + 49 Collect everything on the left.
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x + 3 will have no meaning.
x - 5 = 0
x = 5

2x + 5 = 2*5 + 5 = 15
x + 3 = 5 + 3 = 8
2x+ 7 = 2*5 +7 = 17

Check
15^2 + 8^2 = 17^2
225 + 64 = ? 289
289 = 289

a = 15 <<<<< answer
b = 8 <<<<< answer
c = 17 <<<<< answer

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3 years ago

Can u HELP me on all

Alekssandra [29.7K]

How many are there because there is no pic

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3 years ago