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Illusion [34]
3 years ago
9

Shannon saves 1235 in november. In november, she saved $250 less than she did in december. How much money did she save in the tw

o months???
Mathematics
1 answer:
madam [21]3 years ago
4 0
In December she would have saved $1585 because 1235 + 250 = 1485. You can find how much money she raised in those 2 months by adding the totals of both months together, so 1485 + 1235 = 2720. She saved $2720 in the 2 months.
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The equation of a line is y = 2x − 6. Find the slope and y-intercept of the line.
SCORPION-xisa [38]

Answer:

Slope is 2 and y-int is -6

Step-by-step explanation:

y=mx+b

M is slope

B is y-int

7 0
2 years ago
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Please Help!!<br><br>Use Euler’s formula to write in exponential form.
LekaFEV [45]

Answer:

C, 4e^{i(7\pi/4)}

Step-by-step explanation:

To remind you, Euler's formula gives a link between trigonometric and exponential functions in a very profound way:

e^{ix}=\cos{x}+i\sin{x}

Given the complex number 2\sqrt{2}-2i\sqrt{2}, we want to try to get it in the same form as the right side of Euler's formula. As things are, though, we're unable to, and the reason for that has to do with the fact that both the sine and cosine functions are bound between the values 1 and -1, and 2√2 and -2√2 both lie outside that range.

One thing we could try would be to factor out a 2 to reduce both of those terms, giving us the expression 2(\sqrt{2}-i\sqrt{2})

Still no good. √2 and -√2 are still greater than 1 and less than -1 respectively, so we'll have to reduce them a little more. With some clever thinking, you could factor out another 2, giving us the expression 4\left(\frac{\sqrt{2}}{2} -i\frac{\sqrt{2}}{2}\right) , and <em>now </em>we have something to work with.

Looking back at Euler's formula e^{ix}=\cos{x}+i\sin{x}, we can map our expression inside the parentheses to the one on the right side of the formula, giving us \cos{x}=\frac{\sqrt2}{2} and \sin{x}=-\frac{\sqrt2}{2}, or equivalently:

\cos^{-1}{\frac{\sqrt2}{2} }=\sin^{-1}-\frac{\sqrt2}{2} =x

At this point, we can look at the unit circle (attached) to see the angle satisfying these two values for sine and cosine is 7π/4, so x=\frac{7\pi}{4}, and we can finally replace our expression in parentheses with its exponential equivalent:

4\left(\frac{\sqrt2}{2}-i\frac{\sqrt2}{2}\right)=4e^{i(7\pi/4)}

Which is c on the multiple choice section.

4 0
3 years ago
Is the number 144 rational or irrational?
Gelneren [198K]
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3 years ago
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insens350 [35]

Answer:

b. 10

Step-by-step explanation:

The triangles are all similar, so you have ...

hypotenuse/short side = x/4 = 25/x

Cross multiplying gives ...

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5 0
3 years ago
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IF YOU COULD HELP ME I'D BE SO GRATEFUL! (Giving out brainliest) The points​ A(0,5), B(4,2), and​ C(0,2) form the vertices of a
Inessa [10]

Step-by-step explanation:

The line that forms the hypotenuse includes line AB.

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The equation is y = 5 - (3x/4).

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