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Because the absolute value of 0 is 0, this automatically makes the above statement false.

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Other tutor subtracted, not added.

456448454/5000 + 93352662/10000 = (2*456448454 + 93352662)/10000 = 100624957/10000 = 100624.57

And I'm not wrong nor am I an idiot, despite your little "thank you" message.

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Loans can be considered "upside down" but I rarely see upside down question marks used to describe them (you should Google it). The only use I have seen from an upside down question mark is when one is asking a question in Spanish. But yes, there is such a symbol as an upside down question mark.

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If 27 students averaged 70, then the total score is 27*70 = 1890. If 15 of them score above 90, this total score must be at least 1350. It is possible for the other 12 to score below 540, so 15 of them scoring above 90 is a possibility.

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|4x + 2| = -6

Absolute value cannot be negative, so there are no solutions.

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The 12 corresponds to r^2, so r is equal to or .

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A nonlinear equation is not necessarily something raised to a power; it is simply an equation that is not represented by a line.

In addition to polynomial curves, the following functions are non-linear:
Trigonometric function
f(x) = sin(x)

f(x) = tan(x)


Logarithmic or exponential function
f(x) = ln x


Of course there are countless other examples.

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is defined everywhere.

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I presume you mean -2x - 22. And it is the distributive property.

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Is that your p-value?

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Please refrain from caps lock...it gives the impression you are shouting your question.

We could attempt to find one of the angles using the law of cosines, then find the area using two sides and the in-between angle. However, this gets ugly, plus there is a way to take advantage of the "hint."

We can plot the triangle on a Cartesian plane instead, such that it satisfies the requirements:



We see that, from the Pythagorean theorem, AC^2 = 7^2 + 5^2, etc.

To find the area of ABC, create a rectangle with sides parallel to the axes and with diagonal BC:




Next, we just subtract off areas from the big triangle. The area (denote by [ABC]) of triangle ABC is:



The coordinates are all lattice points, so the areas are easy to evaluate.

(square units)

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For positive c,



Hence, . It helps to simplify to .

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That's not even a complete sentence, let alone a solvable math question.

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I don't know, I don't have a diagram in front of me so all I see is some random statement that may or may not be true.

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First determine whether the function is a hyperbola or ellipse or step value function or whatever it could be. Then, find any distinguishing points on the function (for a polynomial it could be max. or min values, for a rational function it could be asymptotes, for an ellipse it could be points on the major/minor axes, etc.). If you are graphing a rational function with multiple asymptotes, it helps to know whether the asymptote is reached from the bottom or top (it might help to know how to find limits first). For an ellipse or circle, know the center and radius or axes.

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Difference of two squares on the top:



I think I have already answered this question yesterday or the day before...

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Just substitute x = 1, y = 8.

2(1) + 6(8) = 50 (true)

10(1) + 8(0) = 50 (true)

So (1,8) is a solution to the system (also, the only solution).

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Radical expressions are pretty self-explanatory, expressions with radicals in them. The process is quite similar to adding other things, but you have to make sure you add like terms and know when to simplify such an expression. For example,



(I picked an example that would use all four arithmetic operations and would simplify easily).

We multiply to get which is equal to . The quantity is equal to . Thus the entire expression is equal to

(all terms are like so we add their coefficients).

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Sounds like fun.

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Need a diagram, or a complete description of the diagram. After all, I could draw some completely random diagram that obeys the conditions but yet doesn't make sense.

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-sqrt(81) is rational, it is equal to -9.

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Area = length*width = (x-4y)(x+4y). This resembles the difference of two squares so we conclude that the area is x^2 - 16y^2 square cm.

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You're a little unclear, is your year-to-date average a C- or a D+?

Regardless, if the test accounts for 70% of your final grade, that's a huge chunk. Even a grade of 80% should raise your overall grade to a 75%. Aim for a higher percentage grade to be safe.

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I am not entirely familiar with the vocabulary since I never learned what dependent, consistent meant in my algebra class (nor did we ever use them in pre-calculus or calculus classes) even though I knew exactly how to solve such systems and identify which ones had solutions. I'll leave it up to you to classify the system.

However, we know that the two lines must intersect at exactly one point. The line y = a is horizontal, x = b is vertical, and they will intersect at the point x = b, y = a, or (b,a) as an ordered pair.

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If "3 times" is taken to mean "reduced by a factor of 3", then by Boyle's law (pressure and volume are inversely proportional), the volume would be increased by a factor of 3.

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I presume you mean "weight" instead of "height" because I don't think it's possible to find the height. Also, the weight, not the height, has units N.

Assuming is the coefficient of kinetic friction, we can find the force of friction:

(F_n is the normal force).

However, we know that the frictional force must be 26 newtons; this is because "constant velocity" implies zero net force, so a 26 N pushing force must be counteracted by a 26 N frictional force. Also, if we were to label the components of the normal force, we will see that the normal force is equal to the weight times the cosine of the angle of the ramp. Hence,

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Because it is a standard, convenient way to represent a linear equation.

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Pretty cheap school dance, even for 600 students.

1 + 2 + ... + 150 = 150(151)/2 = 11325. This is the number of cents, so the dollar amount is $113.25.

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I'll assume that the card can be an 8, a black, or both.

There are 26 black cards and four 8's in a standard deck. Using Inclusion-Exclusion principle, the number of cards that are black and/or an 8 is 26 + 4 - 2 (2 being the number of black 8's) = 28. Hence the probability is 28/52 = 7/13.

If we do not want black 8's, we simply subtract off the two black 8's, leaving 26 cards out of 52. The probability in this case would be 26/52 = 1/2.

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Denote the square root by sqrt(x), "check" is too ambiguous.

To simplify square roots, you have to factor perfect squares out. To factor

,

we see that the largest perfect square divisor of 20 is 4, and for 18, it is 9. So,



Now we split the 4 and the 5, as well as the 9 and the 2.

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(-12m + 40) + (13m - 39) = 4

m + 1 = 4

m = 3