Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

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Question 127639: 1. An altitude of a triangle is a line segment from a vertex perpendicular to the opposite side. Find the equations of the altitudes of the triangle with vertices (4, 5),(-4, 1) and (2, -5). Do this by solving a system of two of two of the altitude equations and showing that the intersection point also belongs to the third line.
Click here to see answer by jim_thompson5910(35256)

Question 127642: 2. Prove that the points (-2, 9), (-4, -2), (1, -12) and (3, -1) are vertices of a rhombus (a parallelogram with all sides equal length). Show that the diagonals are perpendicular.
Click here to see answer by jim_thompson5910(35256)

Question 127643: 3. Show that the composition of two linear functions is also a linear function.
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Question 127632:
well it says solve by elimination, so could i have the slope of
6x-8y=40 5x+8y=48
Click here to see answer by checkley71(8403)

Question 127647: 5. Position a triangle ABC on a graph so the point A is at (0, 0), point B is at (a, 0) and point C is at (b, c). Compute the midpoints of sides AC and BC. Show that the length of the line segment connecting these midpoints is one half of the length of side AB and show that this line segment is parallel to side AB.

Click here to see answer by jim_thompson5910(35256)

Question 127651: 4. If f and g are linear functions with graphs that are perpendicular, show that the slopes of the graphs of f-g and g-f are both -1.
Click here to see answer by jim_thompson5910(35256)

Question 127772: y=3/2x-4
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Question 127814: Hi This problem is under the section called graphing squsre root and other radical functions.
Heres the problem
Graph. Find domain and range of each function.
y=1/2sqrt of x +3
Thanks so much for helping me out.. i appreciate it
Click here to see answer by solver91311(24713)

Question 127905: I hope I have this in the right place. I need help please! Graph the inequality on a plane. 2x+3y < or equal to 6. Thanks for any help at all.
Click here to see answer by jim_thompson5910(35256)

Question 127998: x-4>3
Click here to see answer by Ganesha(13)

Question 128025: I am supposed to write an equation in standard form of the line passing through these points. (1,-1) and (5,6). PLEASE HELP!!!!!! The answer is -7x+4y=-11, but I don't know how to get there. HELP MUCH APPRECIATED!!!!
Click here to see answer by solver91311(24713)

Question 128034: I have two questions, having to write an equation in standard form for each line described:
29) The line that passes through the point (-1,3) and is parallel to the graph of 3x-y=4.
31) The line that passes through the point (-4,-5) and has the same y-intercept as the graph x+3y=-9.
I PLEASE HELP!!!!!! The answers are 3x-y=-6 and -x+2y=-6, but I don't know how to get there. HELP MUCH APPRECIATED!!!!
Click here to see answer by solver91311(24713)

Question 128042: Factor.3a^2(a-b)-6a(a-b)+21(a-b)
Please assist me with the proper way to do this problem.
Possible answers: A: (3a � b)(a^2 � 2a + 7), B:3(a � b)(a^2 � 6a + 21),
C:(a � b)(3a^2 � 6a + 21)D:3(a � b)(a^2 � 2a + 7).
Thanks
Click here to see answer by solver91311(24713)

Question 128160: -6<3+x<4
Click here to see answer by marcsam823(57)

Question 128198: Sketch the graph of f(x) = x^2-6x +8. Label all x-intercept, y-intercepts
and the vertex.
Click here to see answer by jim_thompson5910(35256)

Question 128216: How would you do this problem, it has to be graphed
y= -1/3x + 3 ?
Click here to see answer by checkley71(8403)

Question 128234:
Find the slope of the line passing through the points (7,-1) and (10,-1)
Click here to see answer by checkley71(8403)

Question 128270:
help me to solve this problem 2x + y = -6 x-3y=-6

Click here to see answer by checkley71(8403)

Question 128315: What is the relationship between the slopes of perpendicular lines?

Click here to see answer by stanbon(75887)

Question 128322: What is a linear equation in two variables?

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Question 128332: I need help with this homework problem
how do you solve the equation
y=3x+9:(0,),(, 24)(2,)
Click here to see answer by stanbon(75887)

Question 128320: How do you determine whether to draw the boundary line of the graph of a linear inequality dashed or solid
Click here to see answer by scott8148(6628)

Question 128351: Given the parabola y=x^2-6x-7, answer the following questions:
what is its x-intercept? Find its y-intercept. Graph the parabola.
Click here to see answer by jim_thompson5910(35256)

Question 128351: Given the parabola y=x^2-6x-7, answer the following questions:
what is its x-intercept? Find its y-intercept. Graph the parabola.
Click here to see answer by chitra(359)

Question 128385: Dear Tutors,
I was just wondering if there are still people there helping with homework questions? The reason I asked is because I submitted a question yesterday,and never got a reply.I sure hope you do,because I need all the help I can get.We don't have to turn our homework in ,but if I don't do it I'm lost on the test.Thanks for all the help you have given me.
Sincerely,LH
Click here to see answer by stanbon(75887)

Question 128428: Biologists at the Long Beach aquarium would like to know if conditions at aquariums reduce the life span of dolphins. Dolphins live an average of 21 years in the wild with a standard deviation of 3 years. Furthermore, the lifespan of dolphins forms a normal distribution.
Because dolphins are exchanged with other aquariums and because some dolphins� ages are unknown, the biologists were able to randomly select only 4 dolphins for the study. The four lived to the following ages: 17, 19, 20, 21. At a .05 significance level, can the biologists claim that dolphins living in captivity have a shorter life span than dolphins at sea?
Question 1: What is the null hypothesis?
Ho: mu = 21 yrs.
Q2: What is the alternate hypothesis?
Ha: mu < 21 yrs
Q3: Which is the correct hypothesis test (e.g., Z-, t-, or F-test)?
t
Q4: Is this a directional or nondirectional test?
If by directional you mean the same as "one-tail" the answer is directional.
Q5: What is the test statistic?
The sample mean is 19.25, so
t(19.25) = (19.25-21)/[3/sqrt(4)] = -1.1667
------------------------------
Q6: What is the p-value?
P(-10 < t < -1.1667) with df = 3 is 0.0960
------------------------------------
Q7: What is your conclusion?
Fail to reject Ho because the p-value is greater than alpha = 5%
------------------------------------
Q8: Is it possible that an error was committed? If so, which kind?
With such a small sample we may have failed to detect a real change
in the average life-span of dolphins. That is a Type II error of
failing to reject Ho when it fact it is false.
=========================
Cheers,
Stan H.

How does this problem work?

Click here to see answer by stanbon(75887)

Question 128485: Graph and label x-intercepts, y-intercepts, and the vertex

Click here to see answer by jim_thompson5910(35256)

Question 128598: I am stumped. HOw do I go about solving and graphing 4raised to the x power = 25
4^x=25
Click here to see answer by checkley71(8403)

Question 128757: Can you please help me graph this equation?
y=-x^2+6x+5
Click here to see answer by jim_thompson5910(35256)

Question 128779: Can you help me graph this inequality? I think I have it, but I want to make sure. I know the parabola is right side up and the y-intercept is -4, But I don't know what to shde. Thanks.
The inequality is:
y>x^2-4
Click here to see answer by edjones(8007)

Question 128787: Use any strategy to solve the problem.
jessica added 120 to one-third of a number for a result of 200. what is the number?
Click here to see answer by checkley71(8403)

Question 128848: i need help with graphing inequalities using my ti-84.
Click here to see answer by Edwin McCravy(20054)

Question 128882: Please help me graph these equationss 3x-y=9 3x+2y=12
y=2/3x+4 y=-3/2x-6 Thank You!!!!
Click here to see answer by solver91311(24713)

Question 128883: please help me graph this equation 3x-y=9 thank you
Click here to see answer by jim_thompson5910(35256)

Question 128876: 2x+3y=8
Click here to see answer by jim_thompson5910(35256)

Question 128948: Could you please explain this one to me. Instructions are:
Determine th slope and the y-intercept of the garph of each equation.
x + 7y = 6
7y = -x + 6 I know that I need to divide by 7
but I come out with y = -1/7 + 6/7 is this correct?
Carolyn
Click here to see answer by tutorcecilia(2152)

Question 128947: 28. Slope 1/2; y intercept (o, -6)
Can you please help me with this one?
Thanks
Carolyn

Click here to see answer by tutorcecilia(2152)

Question 129061: How do i write the equation of a line,in slope-intercept form, with slope 1/2 and y-intercept -9.
Click here to see answer by checkley71(8403)

Question 129061: How do i write the equation of a line,in slope-intercept form, with slope 1/2 and y-intercept -9.
Click here to see answer by ilana(307)

Question 129069:
1/2x-2/3=-6 i need to kno how to solve this problem & others like it
Click here to see answer by checkley71(8403)

Question 129065:
how to solve for y 4y-16=8x
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Question 129079: solve the system of equations by graphing. Then classify the system as independent, inconsistent, or dependent
x+y=4 x-y=2
Click here to see answer by checkley71(8403)

Question 129071: hello i am trying to understand and figure out how to solve graphing.. example.
3x - 6y = 12
2x - 4y = 8 can you please help me .. i am lost don't know how or where to begin very confused ... I hope to here from you thank you for your time... i really wanna know and understand how to figure problems like this out and then solve each problem out by graphing. also I am asked to write no solution or infinitely many. please help... sorry but my problem is not from a text book it is from a mixed exercise sheet practice 6-1 solving systems by graphing algebra .
thanks: Robert Tisdale
8th grade math
but I am in 9th grade and still cant understand
Click here to see answer by Earlsdon(6294)

Question 129086: I need to describe the change in y values as i move along the line from left to right across the coorinate plane, and find the slope and y intercept. the problem is -5y=-25x+35.
Click here to see answer by checkley71(8403)

Question 129304:

I would like some help i do not understand -3x+2y=2. I need to show how to graph it also can you please help me.
Thanks for your time
Zack Brooks
9th grade
Click here to see answer by checkley71(8403)

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