Math at eNotes
http://www.enotes.com/math
The latest questions and answers, from members following Math at eNotes.Sat, 28 Mar 2015 18:20:18 PSTen-usIf you think of it as objects, it is easier to figure out. Suppose you...
http://www.enotes.com/homework-help/what-9-10-475825
If you think of it as objects, it is easier to figure out. Suppose you have 9 pencils on a table. And you put 10 more on the table. You have added 10 to the 9 pencils already there. Now there is a total of 19. You can also see it like this: 9= 1+1+1+1+1+1+1+1+1. There are 9 ones. 10= 1+1+1+1+1+1+1+1+1+1 There are 10 ones. If you add up all the ones, you get 19.http://www.enotes.com/homework-help/what-9-10-475825Sat, 28 Mar 2015 18:20:18 PST(5x^2 + 10x - 75)/(4x^2 -24x - 28) * (2x^2 - 10x - 28)/(x^2+7x + 10) The...
http://www.enotes.com/homework-help/simplify-expression-5x-2-10x-75-4x-2-24x-28-2x-2-476017
(5x^2 + 10x - 75)/(4x^2 -24x - 28) * (2x^2 - 10x - 28)/(x^2+7x + 10) The key to this is factoring! Let do it equation by equation then re write the expression towards the end. (5x^2 + 10x - 75) This entire expression is divisible by 5 so lets take out 5 5(x^2 + 2x - 15) Now we will factor this equation. What multiples of 15 will you get that when subtract or added gives you two? Lets see 5x3=15 also 5-3=2. 5 and -3 are your answers lets plug...http://www.enotes.com/homework-help/simplify-expression-5x-2-10x-75-4x-2-24x-28-2x-2-476017Sat, 28 Mar 2015 15:45:50 PST`(-y^5z^7)/(y^2z^5)` `In this case, you must determine what bases are...
http://www.enotes.com/homework-help/simplify-y-5-z-7-y-2-z-5-475854
`(-y^5z^7)/(y^2z^5)` `In this case, you must determine what bases are alike. you have y to the 5th power, which means you have y*y*y*y*y in the numerator. You have y to the 2nd power in the denominator y*y. You can cancel these out as values of 1 (y divided by y is equal to 1), or simply subtract these exponents. ` <span class="AM"></span> ` `y^5 -y^2 = y^3` you are left with `y^3` for the numerator. You must now simplify your...http://www.enotes.com/homework-help/simplify-y-5-z-7-y-2-z-5-475854Sat, 28 Mar 2015 15:24:36 PSTThe first thing you must do is check your bases. Are these like bases?If...
http://www.enotes.com/homework-help/what-value-r-makes-y-28-y-3r-y-7-true-475855
The first thing you must do is check your bases. Are these like bases?If so, check the operation. In this case you are multiplying. If you are multiplying, you can simply add the exponents together and keep the bases the same. Because of this rule, you can simplify this question to : 28 = 3r + 7 Use inverse operations to subtract 7 from both sides. 21 = 3r Divide both sides by 3 to isolate the r variable. 21/3 = 3r/3 7 = r In this case, your...http://www.enotes.com/homework-help/what-value-r-makes-y-28-y-3r-y-7-true-475855Sat, 28 Mar 2015 15:16:49 PST` ` The quickest way that you can determine if something is a linear...
http://www.enotes.com/homework-help/problem-f-x-6x-3-what-can-help-me-detirmine-475896
` ` The quickest way that you can determine if something is a linear function is by looking at the variables given. If you do not have exponents greater than 1 for either variable, you can determine that it will be a linear function. f(x)= -6x+3 In this case, f(x) can be replaced merely with y. You have y = -6x + 3. Because both of the variable terms are in the 1st degree, this will be a linear function. Examples of non-linear functions for...http://www.enotes.com/homework-help/problem-f-x-6x-3-what-can-help-me-detirmine-475896Sat, 28 Mar 2015 15:09:47 PST2a+3b+4a in this case, you want to combine your like terms (those with...
http://www.enotes.com/homework-help/2a-3b-4a-475915
2a+3b+4a in this case, you want to combine your like terms (those with the same variable). You have 2a + 4a and 3b. Because 2a and 4a are both "a" terms, you may combine them into 6a. 6a+3b At this point, you can either leave your answer as it is, or factor out a 3. 3(2a + b) Using knowledge of the distributive property, you can factor a 3 out of the equation and simplify it for future use, although this is not necessary given the question...http://www.enotes.com/homework-help/2a-3b-4a-475915Sat, 28 Mar 2015 15:02:14 PST1) Use inverse operations to add 16 to both sides of the equation. + 16...
http://www.enotes.com/homework-help/find-all-solutions-real-imaginary-x-4-16-0-476015
1) Use inverse operations to add 16 to both sides of the equation. + 16 +16 2) Take the square root of both sides. `x^4 = 16` 3) Simplify your square roots. `sqrt(x^4)=sqrt(16)` `x^2 = 4 or -4` 4) Take the square root again of both sides. `x = 2 and x =sqrt(-4)` or 2i if simplified because it is an imaginary number.http://www.enotes.com/homework-help/find-all-solutions-real-imaginary-x-4-16-0-476015Sat, 28 Mar 2015 14:57:06 PSTThe formula for a circle is (x-h)^2 + (y-k)^2 = r^2 (h,k) is the center...
http://www.enotes.com/homework-help/circle-touches-x-axis-has-its-centre-point-4-2-476040
The formula for a circle is (x-h)^2 + (y-k)^2 = r^2 (h,k) is the center of the circle. In this example, touching the x-axis also means the x axis is tangent to the circle, where y = 0. This also means it is perpendicular to the radius. And, the perpendicular/radius runs through the center of the circle, aka where x = 4. Since y = 0 at this point, it touches at (4,0) as well as r = 2. So, the formula would be (x-4)^2 + (y-2)^2 = 2^2...http://www.enotes.com/homework-help/circle-touches-x-axis-has-its-centre-point-4-2-476040Sat, 28 Mar 2015 11:54:55 PST(a) (i) A circle touches the x-axis and has its centre at the point...
http://www.enotes.com/homework-help/circle-touches-x-axis-has-its-centre-point-4-2-476040
(a) (i) A circle touches the x-axis and has its centre at the point (4,2). Write down the equation of this circle. (ii) Confirm that the point (3 , 2 + 3) is on the circlehttp://www.enotes.com/homework-help/circle-touches-x-axis-has-its-centre-point-4-2-476040#1March 28, 2015, 11:23 am PSTTo find the vertex, you can use the formula "x = -b/2a" to find the x...
http://www.enotes.com/homework-help/find-vortex-find-zeros-sketch-graph-quadratics-476022
To find the vertex, you can use the formula "x = -b/2a" to find the x coordinate of the vertex, a, b, and c coming from the equation "y = ax^2 + bx + c". So, a = 2, b = 12, c = 10. So, for the x coordinate: x = -12/(2*2) = -3 So, to find the y, we plug that back into the equation: y = 2(-3)^2 + 12(-3) + 10 = 18 + (-36) + 10 = -8 So, the vertex = (-3,-8) To find the zeros, we plug in 0 for y. So, we solve: 0 = 2x^2 + 12x + 10...http://www.enotes.com/homework-help/find-vortex-find-zeros-sketch-graph-quadratics-476022Sat, 28 Mar 2015 01:38:24 PSTfind vortex, find zeros, and sketch graph, Quadratics,parabolas...
http://www.enotes.com/homework-help/find-vortex-find-zeros-sketch-graph-quadratics-476022
find vortex, find zeros, and sketch graph, Quadratics,parabolas Y=2x^2+12x+10http://www.enotes.com/homework-help/find-vortex-find-zeros-sketch-graph-quadratics-476022#2March 28, 2015, 12:53 am PSTThe equation of a circle is: (x – h)2 + (y – k)2 = r2 (h,k) stands...
http://www.enotes.com/homework-help/write-an-equation-circle-that-satisfies-set-476016
The equation of a circle is: (x – h)2 + (y – k)2 = r2 (h,k) stands for the center of the circle. r stands for the radius. You plug in the numbers given. (x – (-1))2 + (y – 5)2 = 22 (x +1)2 + (y – 5)2 = 22 (x +1)2 + (y – 5)2 = 4. This is the simplified form of the equation.http://www.enotes.com/homework-help/write-an-equation-circle-that-satisfies-set-476016Sat, 28 Mar 2015 00:36:10 PSTusually it is intuitive, however I believe that no one here has given an...
http://www.enotes.com/homework-help/problem-f-x-6x-3-what-can-help-me-detirmine-475896
usually it is intuitive, however I believe that no one here has given an actual method to determining if a function is linear or not. for a function to be linear it must satisfy the following properties `F(cx) = cF(x) ` where c is a constant `F(x + y) = F(x) + F(y)` where x, and y are two different variables lets prove the first once `F(x) = -6x + 3 ` `F(cx) = -6(cx) + 3 ` `cF(x) = c(-6 x + 3/c) != F(cx) ` because the function does not satisfy...http://www.enotes.com/homework-help/problem-f-x-6x-3-what-can-help-me-detirmine-475896#3Fri, 27 Mar 2015 23:20:24 PST`x^4=16` Square root both sides. `x^2=+-4` Square root both sides...
http://www.enotes.com/homework-help/find-all-solutions-real-imaginary-x-4-16-0-476015
`x^4=16` Square root both sides. `x^2=+-4` Square root both sides again. `x=2 and sqrt(-2)` Since there was a positive and negative four, square root of positive four is 2 and square root of negative four simplifies to -2 but it remains in square root since it is a imaginary number. You can also change square root -2 into 2i. This is because i= square root -1. So if you do `sqrt(2) timessqrt(-1)` You get 2i. Therfeore, the answer is x=2 and 2i.http://www.enotes.com/homework-help/find-all-solutions-real-imaginary-x-4-16-0-476015#4Fri, 27 Mar 2015 23:19:23 PSTlet x be an angle that creates a right triangle with the horizontal...
http://www.enotes.com/homework-help/how-prove-identiry-sin-2x-cos-2x-1-44233
let x be an angle that creates a right triangle with the horizontal axis, such that a and b are the legs, and c is the hypotenuse prove the identity `sin^2(x) + cos^2(x) = 1` we know that sin(x) = a/c and cos(x) = b/c `(a/c)^2 + (b/c)^2 = 1 -> (a^2/c^2 + b^2/c^2) = 1 -> (a^2 + b^2)/c^2 = 1` by pyth theorem we know that a^2 + b^2 = c^2 `c^2/c^2 = 1-> 1 = 1 `http://www.enotes.com/homework-help/how-prove-identiry-sin-2x-cos-2x-1-44233Fri, 27 Mar 2015 23:11:58 PST