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jim_thompson5910 answered: 28583 problems
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Length-and-distance/356942: find cd and ef then determine if cd is congruent to ef d is (-2,4) c is (-5,0) e is (2,2) f is (5,-2 1 solutions Answer 254888 by jim_thompson5910(28595)   on 2010-10-15 20:12:48 (Show Source): You can put this solution on YOUR website! First, we need to find the length of cd. So we need to find the distance between (-5,0) and (-2,4). Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the distance formula. Plug in , , , and . Subtract from to get . Subtract from to get . Square to get . Square to get . Add to to get . Take the square root of to get . So our answer is So the distance between the two points is 5 units. So the length of cd is 5 units. ------------------------------------- Now we need to find the length of ef. So we need to find the distance between the points (2,2) and (5,-2) Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the distance formula. Plug in , , , and . Subtract from to get . Subtract from to get . Square to get . Square to get . Add to to get . Take the square root of to get . So our answer is So the distance between the two points is also 5 units. So the length of ef is also 5 units. This means that cd and ef are congruent (since they are the same length). If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Rational-functions/356943: how do you find the slope of x=8? 1 solutions Answer 254887 by jim_thompson5910(28595)   on 2010-10-15 20:05:11 (Show Source): You can put this solution on YOUR website! Any equation in the form (where k is some number) has an undefined slope. So the slope of is undefined.

Rational-functions/356944: how do you find the slope of y=-10 1 solutions Answer 254885 by jim_thompson5910(28595)   on 2010-10-15 20:04:21 (Show Source): You can put this solution on YOUR website! The equation is in the form where and . So the slope is

Length-and-distance/356946: use the distance formula and the Pythagorean theorem to find the distance, to the nearest tenth, from s(3,-5) to u(-5,1) 1 solutions Answer 254884 by jim_thompson5910(28595)   on 2010-10-15 20:03:02 (Show Source): You can put this solution on YOUR website! Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the distance formula. Plug in , , , and . Subtract from to get . Subtract from to get . Square to get . Square to get . Add to to get . Take the square root of to get . So our answer is So the distance between the two points is 10 units. If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Permutations/356947: How many different ways are there to arrange 5 people in 5 seats? 1 solutions Answer 254883 by jim_thompson5910(28595)   on 2010-10-15 20:02:12 (Show Source): You can put this solution on YOUR website! There are different ways to arrange 5 people in 5 seats (assuming that order does matter).

Permutations/356928: a test consists of seven questions. any four questions may be selected for answering. in how many ways can this selection be made? 1 solutions Answer 254875 by jim_thompson5910(28595)   on 2010-10-15 18:57:03 (Show Source): You can put this solution on YOUR website! Assuming that order matters, there are different ways to select 4 questions from 7 possible.

Graphs/356931: I have a couple questions I have no idea how to answer. I hope this gets to you today, I'm already late with the assignment. I'm taking Elementary Algebra with The Art Institute of Pittsburgh, I'm going for a Bachelor's degree in digital photography; I really doubt that I will have to use these skills in my career choice but nonetheless I still have to answer them and understand them. The questions I'm having trouble with are graphing these equations, 1. Y = 2x – 8 2. 5x – 5 = 3x – y 3. Y = IxI – 5 4. 3x + 4 = 4x – 6 The number's of order are not accurate for the assignment, but the equations themselves are. I don't understand what it is I should do to find the answer. Please help! 1 solutions Answer 254873 by jim_thompson5910(28595)   on 2010-10-15 18:55:28 (Show Source): You can put this solution on YOUR website! The truth is that you never know what you're going to need in the future (otherwise, you'd probably just stick to making money as a psychic). So it helps to learn everything you can. You don't have to know everything, but it helps to get that exposure. I'll do the first two to get you started. Please post these one at a time next time. # 1 Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 2 and the run is 1. This means that to go from point to point, we can go up 2 and over 1 So starting at , go up 2 units and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and ================================================ # 2 Start with the given equation. Subtract 3x from both sides. Combine like terms. Multiply every term by -1 to isolate y. Rearrange the equation. Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is -2 and the run is 1. This means that to go from point to point, we can go down 2 and over 1 So starting at , go down 2 units and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and

Functions/356592: -2k = -24 find the value of the variable 1 solutions Answer 254532 by jim_thompson5910(28595)   on 2010-10-14 20:16:18 (Show Source): You can put this solution on YOUR website! Start with the given equation. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Equations/356575: Ok, I am taking a high school algebra class and am really struggling with this lesson. One of the problems is: Solve if possible:12p-7=-3p+8 1 solutions Answer 254518 by jim_thompson5910(28595)   on 2010-10-14 19:49:36 (Show Source): You can put this solution on YOUR website! Start with the given equation. Add to both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Triangles/356568: What are the 2 other sides of a right isoceles triangle if the hypotenuse is 1? 1 solutions Answer 254515 by jim_thompson5910(28595)   on 2010-10-14 19:46:18 (Show Source): You can put this solution on YOUR website! Hint: Let x = length of the unknown sides. So this means that (using the pythagorean theorem).

Linear-equations/356566: I am graphing equations using y-intercepts and slopes. I need to know the y-intercept and slope for 3x + y = -6 1 solutions Answer 254513 by jim_thompson5910(28595)   on 2010-10-14 19:41:17 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Rearrange the terms. So the equation is now in slope intercept form where the slope is and the y-intercept is note: the y-intercept is the point If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Exponents/356562: 1 solutions Answer 254512 by jim_thompson5910(28595)   on 2010-10-14 19:40:03 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor to get . Factor to get . Highlight the common terms. Cancel out the common terms. Simplify. So simplifies to . In other words, If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Triangles/356561: how do I turn 0.75 degrees in minutes and seconds 1 solutions Answer 254511 by jim_thompson5910(28595)   on 2010-10-14 19:37:40 (Show Source): You can put this solution on YOUR website! Converting from degrees to minutes: Multiply 0.75 by 60 to get minutes. Since the decimal portion of 45 minutes is 0, this means that the amount of seconds is 0. So 0.75 degrees is equal to 45 minutes 0 seconds

Rectangles/356554: give the dimensions of two different rectangles that have the same area 1 solutions Answer 254506 by jim_thompson5910(28595)   on 2010-10-14 19:28:36 (Show Source): You can put this solution on YOUR website! A rectangle with length 3 and width 2 has an area of square units while a rectangle with length 6 and width 1 has an area of square units.

Linear_Equations_And_Systems_Word_Problems/356485: At Linear High School, there are n lockers all located along a very long hall numbered consecutively from 1 to n . One day, n students, who have been likewise numbered from 1 to n did this: Student 1 opened all lockers Student 2 closed every second locker Student 3 changed the position of every third locker starting with the third locker (the student opened any locker that was closed and closed any locker open) student 4 changed the position of lcokers 4,8,12..... This process continues until each person had walked the length pf corridor. Of course, the last student, student n strolled to the end of the corridor where they changed the position of locker n. Which lockers were open and which were closed at the end. ( I know it has to do with factors of a number, I tried a general formula nx+n but did not give me enough info) 1 solutions Answer 254496 by jim_thompson5910(28595)   on 2010-10-14 19:13:45 (Show Source): You can put this solution on YOUR website! See this page for an idea on how to do this problem (scroll down to find my post). If you need more help, let me know.

Equations/356463: 25-x=13+2 and 17+x=7+25 1 solutions Answer 254473 by jim_thompson5910(28595)   on 2010-10-14 18:21:02 (Show Source): You can put this solution on YOUR website! # 1 Start with the given equation. Combine like terms on the right side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------- Answer: So the solution is ============================================= # 2 Start with the given equation. Combine like terms on the right side. Subtract from both sides. Combine like terms on the right side. --------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Average/356391: Writing expressions for these: 12 and y more Is it 12+y 155 more than q Is it q+155 1 solutions Answer 254413 by jim_thompson5910(28595)   on 2010-10-14 15:30:18 (Show Source): You can put this solution on YOUR website! You are correct. Good job.

absolute-value/356295: Assume f(x) = x^2 + 1 * - What is the domain of f(x)? i put all real not equal to 0. it was wrong * - What is the range of f(x)? i put all real #'s, wrong. 1 solutions Answer 254388 by jim_thompson5910(28595)   on 2010-10-14 14:34:28 (Show Source): You can put this solution on YOUR website! Since you can plug in ANY number you want for x (including zero), this means that the domain is the set of all real numbers. It turns out that is NEVER negative. So the range of is . So just add 1 to get the range of f(x) which is So summarize: Domain: The set of all real numbers. Written as in interval notation. Range: . In other words, the range is the set of numbers such that they are greater than or equal to 1. Written as [) in interval notation.

Inequalities/356093: -3(5A-2)+11A<30 1 solutions Answer 254182 by jim_thompson5910(28595)   on 2010-10-13 21:33:52 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Distribute. Combine like terms on the left side. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number. Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Equations/356054: what's the solution to a + 5 = -5a + 5 1 solutions Answer 254145 by jim_thompson5910(28595)   on 2010-10-13 20:09:54 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Geometry_proofs/356007: What property is If A=B and B=C, then A=C? 1 solutions Answer 254143 by jim_thompson5910(28595)   on 2010-10-13 20:07:43 (Show Source): You can put this solution on YOUR website! This is the transitive property of equality.

Rational-functions/356042: Consider the function j(x)=(square root of x)squared. (a) What is the natural domain of j? (b) Find the range of j using the natural domain. The textbook has no examples and the teacher didn't explain it well. 1 solutions Answer 254138 by jim_thompson5910(28595)   on 2010-10-13 20:00:50 (Show Source): You can put this solution on YOUR website! a) The domain of is since you can't take the square root of a negative number. So the domain of is also b) To find the range, you can either graph and note the possible y values, or you can find the inverse function and find the domain of that inverse function. Either way, you'll find that the range is

test/355862: Please help me solve this equation: Evaluate the following integrals using trigonometric substitutions. a) b) 1 solutions Answer 254083 by jim_thompson5910(28595)   on 2010-10-13 15:14:59 (Show Source): You can put this solution on YOUR website! a) Hint: Draw a triangle with legs of , and with a hypotenuse of . So ('x' is the leg opposite the angle ). So because , So the integral then transforms to But we know that , so... and then the cosine terms cancel to leave you with Let me know if this is enough to get you started.

Graphs/355824: -5(2x+6) < -15x-20 1 solutions Answer 254077 by jim_thompson5910(28595)   on 2010-10-13 14:56:34 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Distribute. Add to both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the answer is

real-numbers/355856: Consider the system y = a and x = b where a and b are real numbers. Is this system dependent or independent? Is it consistent or inconsistent? Describe the system. If it is consistent, what is the solution? 1 solutions Answer 254071 by jim_thompson5910(28595)   on 2010-10-13 14:51:33 (Show Source): You can put this solution on YOUR website! The system is consistent and independent since the solutions are y = a and x = b which gives us the ordered pair (b,a) These equations draw lines that intersect at the point (b,a)

Probability-and-statistics/355594: Let A and B be events in a sample space S such that P(A) = 0.6, P(B) = 0.4, and P(A intersection B) = 0.3. Find the probabilities below. (a) P(A|B) (b) P(B|A) 1 solutions Answer 253914 by jim_thompson5910(28595)   on 2010-10-12 23:25:40 (Show Source): You can put this solution on YOUR website! Hint: and

Graphs/355575: Look at Graph B to the right. What is the slope-intercept form of the equation of the line shown in the graph? http://img823.imageshack.us/i/55725729.jpg/ 1 solutions Answer 253906 by jim_thompson5910(28595)   on 2010-10-12 22:48:05 (Show Source): You can put this solution on YOUR website! Looking at the graph below The graph of the line passes through the points and . So let's find the equation of the line through these points. First let's find the slope of the line through the points and Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the slope formula. Plug in , , , and Subtract from to get Subtract from to get So the slope of the line that goes through the points and is Now let's use the point slope formula: Start with the point slope formula Plug in , , and Rewrite as Distribute Multiply Subtract 4 from both sides. Combine like terms. So the equation that goes through the points and is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Equations/355559: solve 3x+7=5x-11 1 solutions Answer 253900 by jim_thompson5910(28595)   on 2010-10-12 22:25:54 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Inequalities/355540: Please show steps to solve: 5(4+x)<3(2+x) 1 solutions Answer 253898 by jim_thompson5910(28595)   on 2010-10-12 22:06:05 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Distribute. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Quadratic_Equations/355547: Can you please help me with this problem and the steps I need to take to resolve x^2-6x-10=0 THanks 1 solutions Answer 253897 by jim_thompson5910(28595)   on 2010-10-12 22:03:39 (Show Source): You can put this solution on YOUR website! Start with the given equation. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "x": Start with the quadratic formula Plug in , , and Negate to get . Square to get . Multiply to get Rewrite as Add to to get Multiply and to get . Simplify the square root (note: If you need help with simplifying square roots, check out this solver) Break up the fraction. Reduce. or Break up the expression. So the solutions are or If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim

Inequalities/355541: Please show steps to solve -3 (n + 4) < 6 (1 - n) 1 solutions Answer 253896 by jim_thompson5910(28595)   on 2010-10-12 22:02:20 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Distribute. Add to both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is If you need more help, email me at jim_thompson5910@hotmail.com Also, feel free to check out my tutoring website Jim