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3 years ago

In which quadrant does the point (-4, -5) lie?

Mathematics

2 answers:

Mariulka [41]3 years ago

6 0

3rd quadrant. because both x and y are negative

Lemur [1.5K]3 years ago

3 0

Answer:

Quadrant 3

Step-by-step explanation:

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There are 12 ice cream cups in a box if the box cost 9.60 how much does each cup of ice cream cost

larisa86 [58]

You would take the number of ice cream cups which is 12 and divide it by the cost which is 9.60
12/9.60=1.25

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4 years ago

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What does w equal in 3w + 7 = 19

EleoNora [17]

Answer:

$w=4$

Step-by-step explanation:

So we have the equation:

$3w+7=19$

Subtract 7 from both sides:

$3w=12$

Divide both sides by 3:

$w=4$

So, the value of w is 4.

And we're done!

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4 years ago

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A man spent 58% of his income and the amount of money left was $210. Find his income

professor190 [17]

Answer:

500 $

Step-by-step explanation:

$\frac{42\%}{210}=\frac{100\%}{x}$

$\frac{\frac{21}{50}}{210}=\frac{1}{x}$

$\frac{21}{50}x=210\\$

$\frac{21}{50}x\cdot \:50=210\cdot \:50\\$

x=500

Red

6 0

3 years ago

AP CALC 98 POINTS!!!!!!

bekas [8.4K]

Looking at this question again, I don't understand why you're told "for y=11". That doesn't seem relevant at all... So you can disregard the answer I posted a few minutes ago on your other question.

a) With $x^2=-2+y+5\cos y$ , differentiate both sides with respect to $x$ to get

$2x=\dfrac{\mathrm dy}{\mathrm dx}-5\sin y\dfrac{\mathrm dy}{\mathrm dx}$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x}{1-5\sin y}$

b) The point P occurs at $x=2$ , which corresponds to a $y$ -coordinate of

$4=-2+y+5\cos y\implies y\approx4.928$

The slope of the line tangent to this point is approximately

$\dfrac{\mathrm dy}{\mathrm dx}\approx\dfrac{2(2)}{1-5\sin(4.928)}\approx0.68$

so the equation of the tangent line is approximately

$y-4.928=0.68(x-2)\implies y=0.68x+3.57$

c) The tangent line to the graphed curve is vertical when $\dfrac{\mathrm dy}{\mathrm dx}$ is undefined. This happens when $1-5\sin y=0$ , or $y=\pi-\sin^{-1}\dfrac15+2n\pi$ and $y=\sin^{-1}\dfrac15+2n\pi$ where $n$ is any integer.

In case you're not sure where the general solution came from: We have

$\sin y=\dfrac15$

which has an infinite number of solutions. $\sin^{-1}\dfrac15$ is one of them, which we obtain by taking the inverse sine of both sides of this equation. Since $\sin(\pi-x)=\sin x$ , we also know that $\pi-\sin^{-1}\dfrac15$ is a solution. And since $\sin(x+2n\pi)=\sin x$ for integers $n$ , we also know that we can add any multiple of $2\pi$ to these two solutions to get infinitely more solutions.

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3 years ago

What is the common denominator for 1/6 and 1/9

goldenfox [79]

54 is a common denominator between 1/6 and 1/9

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4 years ago

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