20 Most Recent SoftMath Algebrator - Algebra Homework Solver (689076614429) - Page 7 Questions & Answers

-60-45x-8x=26-6x+54-60-53x=80-6x-53x+6x=140-47x=140x=-140/47

1. Combine like terms on the left side of =4x-2x =2xNew left side is 2x + 12. Combine like terms on right side of =5 - 7 = -2New right side is x - 23. New problem is 2x + 1 = x - 24. Now get all x terms on left side of =and all constants on right side of = by adding the opposites of the corresponding terms as you move them across the =2x - x = -2 - 15. Combine the like terms on each side of the =Left side: 2x - x = x and Right side: -2 -1 = -3So x = -36. Now check your solution by substituting your answer back in to the original problem.4(-3) - 2(-3) + 1 = 5 + (-3) -77. Now do the arithmatic and hopefully the left and right sides are equal.-12 + 6 +1 = 5 -3 -7-5 = -5Since this is a true statement I know my answer of x = -3 is the correct solution to this problem.

Look at the buildings around you, the streets and roads. Isn't that practical enough?

Use the definitions of the intercepts.x-intercepts (or zeros or roots) are the values of the independent variables that make the function equal to zero. To obtain an intercept set y=0 in equation : 5x=-10, mean x=-10/5=-2y-intercept: value of y when x=0. Just set x=0 in equaltion and solve for y-4y=-10, gives y=5/2And Sorry, I cannot enter the answer in the drop box.

The equation of a straight line can be cast into several forms: functional form, general form, symmetrical form. The functional form is the one usually known as slope intercept form. In the functional form, y=ax+b or sometimes y=mx+b, the factor of the x-variable (a or m as the case may be) is the slope of the straight line, and the value b, is the ordinate (y-value) of the point where the straight line cuts (intercepts) the y-axis.Since you say nothing about the particulars of the line that interests you, there is not much more that anybody can help you with.

Use the fact that cos(pi/4)=sin(pi/4)= 1/square root(2). Trigonometric identity cos(a+b)=cos(a)cos(b)-sin(a)sin(b).

Learn to live with the particularities of the software you are using. If you do not like what it does, use another one more likable to you, or better still create your own.As to mathematics, the best way to learn it is with pen and pencil, leaving the pain of repetitive tasks to the electronic brain of a calculator. The question is why do you persist in trying to remove the multiplication symbol after you found out that the software requires it.? It is perfectly correct to have it there if you mean to multiply. Yes!! It is not absolutely necessary, but if the software wants it leave it, and spare yourself some grief.

Try casting the equation of the circle into the form (x-h)^2+(y-k)^2=R^2. Here (h,k) would be the center and R the radius.To do that complete the two squares.x^2-2x=x^2-2x+1-1=(x^2-2x+1)-1=(x-1)^2 -1.Do the same for the y terms.y^2-2y=(y-1)^2 -1.Substitute these two expressions in your original equation.(x-1)^2+(y-1)^2 -1-1=14 or (x-1)^2+(y-1)^2=14+2=16The radius is square root of 16 or 4, and the center is C(1,1).

I believe some minimal amount of knowledge of the concept will go a long way to teach you any subject.When you say solve in Math, you mean solve an equation. An equation is a mathematical expression (with some unknown) that is equal to some other expression, usually a known value. That requires an = sign. However you do not have one.All you can do is write the expression in as compact a form as possible. In this case, you combine the two like-terms that have the variable n to get 3n.You expression is therefore 3n-3000. Period.

By definition, the y-intercept is the value of y when x=0. Just set x=0 in the equation and solve for y.Hence 3(0)+6y=90 or 6y=90. This gives y=90/6=15. The point of intercept of the y-axis is (0,15).To get the x-intercept, set y= 0 in the equation and solve for x.3x+6(0)=90 or 3x=90. This gives x=90/3=30.The point of intercept of the x-axis is (30,0).

Let's start with a little background. The cot(x) is also known as the cotangent(x) and it equals 1/tan(x) which equals cos(x)/sin(x). I'm showing these formulas because your calculator may not have a cot button but it will probably have buttons for tan, cos, and sin.Your calculator may also have buttons for tan-1, cos-1 and sin-1. These are the inverse functions for tan, cos, and sin. If you enter a number and then push the tan-1 button, the result is the angle whose tangent is the entered number. For example, it you enter 1 and push the tan-1 button the answer will be 45 deg because tan (45 deg) = 1.Now let's look at the problem, cot(x) = -0.6.The first thing we need to know is do you want the answer in degrees or radians? Your calculator will have both modes. The default mode when you first turn it on is probably degrees. If this problem is in radians you will need to change the mode of your calculator over to radians before we start.If cot(x) = -0.6, then tan(x) = 1/-0.6 from the formula I showed in the background section.This means tan(x) = -1.6666666...Now we just enter -1.66666667 and hit the tan-1 button to get the answer.If we're operating in radians the answer is -1.0307 radians.If we're operating in degrees the answer is -59.036 deg.I hope this helps you out.

This equation doesn't have whole number factors so you have to solve it by completing the square or using the quadratic equation. I used the quadratic equation and got the following answers.[3 + sqrt(209)]/10 and [3 - sqrt(209)]/10 I hope this helps you out.

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If we assume the width of the frame is X. Then the one dimension of the framed picture will be 2X + 20 and the other dimension of the picture will be 2X + 34. We know the total area of the framed picture should be 640 in^2. Therefore:
(2X + 10) * (2X + 34) = 640
If you multiply this out you get:
4X^2 + 88X + 340 = 640
Subtract 640 from both sides:
4X^2 + 88X - 300 = 0
Divide both sides by 4:
X^2 + 22X - 75 = 0
Use the quadratic equation to solve for X, with A=1, B=22, C=75
X = [-22 +/- sqr(22^2-4*(-75)] /2
This reduces to:
(-22 +/- 48) / 2
The negative solution doesn't make sense in this case. Therefore: X = (-22 + 28) /2 = 6/3 = 3

Therefore the width of the frame should be 3 inches.

I going to use the following trig identies:
cotx = 1/tanx, and tanx = 1/cotx

Therefore:
(tanx+coty)/(tanx*coty) = (tanx + 1/tany)/(tanx/tany)
multiplying the top and bottom by tany yields:
(tany*tanx + 1) / tanx
This reduces to:
tany + 1/tanx
Which equals to:
tany + cotx

Hello,
You are supposed to thank everybody who helped you in any capacity, with you project :You are expected to give the names of the people.You can specify the type of help you received from each one. No need to thank the cat, though.
Hope it helps.

I'm assumeing the problem is 2x^2 - 19x+22 = 0, solve for x.

I don't see any easy to factor this so I'll either need to complete the square or use the quadratic equation.
Using the quadratic equation, where A = 2, B = -19, and C = 22

x = [-(-19) +/- squareroot( 19^2 - 4*2*22)] / (2*2) =
(19 +/- squareroot(185))/4 =
8.150367 or 1.349632

Let X be the lowest of the 3 integers
The sum of the 3 integers can be represented as X + (X+1) + (X+2).
Set this sum equal to 378 and solve for X.
X + (X+1) + (X+2) = 378
3X + 3 = 378
3X = 375
X = 125
Since X is the lowest of the 3 integers the other 2 will be X+1 and X+2 or 126 and 127.

Therefore, the answer is 125, 126 and 127