Questions on Algebra: Coordinate systems, graph plotting, etc answered by real tutors!

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Question 1043269: Find f(x + 1) when f(x) = (x^2 -4) / (x+4)
Click here to see answer by rothauserc(4718) About Me 

Question 1043946: -1 + (-3)

Click here to see answer by Alan3354(69443) About Me 

Question 1044688: The slope of the line below is 3. Write the equation of the line in point-slope form, using the coordinates of the labeled point. Do not use parenthesis on the y side.
Click here to see answer by Alan3354(69443) About Me 

Question 1044840: What is a next/now rule and can you please help me find it for the pttern y=2x-1
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1045185: A(2,-4) B(3,-2) C(5, k). If A, B and C lie on a straight line, find the value of k.
Any help is greatly appreciated!

Click here to see answer by Alan3354(69443) About Me 

Question 1045277: The points (3,2), (5,k) and (-k,4) are collinear. Find the possible values of k.
Any help appreciated!

Click here to see answer by josgarithmetic(39613) About Me 

Question 1045501: Show that the triangle formed by the points (-2,5), (1,3) and (5,9) is right angled
Click here to see answer by MathLover1(20849) About Me 

Question 1045560: Which points are more than 5 units away from the point P(-2,-2)
Click here to see answer by ewatrrr(24785) About Me 

Question 1045706: I need the answer to this question:
Since Pure gold is very soft, other metals are often added to gold to make an alloy that is stronger and more durable. the relative amount of gold in a piece of jewelry is measured in karats. The formula is +g=+25k%2F6 , where k represents karats and g is the percent of gold in the piece.
a) Determine the domain and range values for which this function makes sense.
b) Graph the function and describe the graph.
c) How many karats are in a ring made of pure gold

Click here to see answer by solver91311(24713) About Me 

Question 1045902: Hi! What are the equivalent "y"s in this quadratic function -2x^2+12x-19
using this given: x|1|2|3|4|5|
i tried and get a y|-19|-3||-1|-3|-19|
some said that i must have a y-intercept of
(0,19) but i dont have it.I think im wrong:(.

Click here to see answer by MathLover1(20849) About Me 

Question 1045896: 1.QUIZ PROBLEM. Find limx→1− f(x), limx→1+ f(x), limx→1 f(x) of the
following graph.

For the next three problems, make a table of average velocities with three
columns: time, position, and average velocity from time t0. From the table,
guess the instataneous velocity.
2. s(t) = 6t + 7, t0=1.
3. s(t) = t^2 + 4t, t0=0.
4. s(t) = 10cost, t0 = π/2
Does anyone know how to post pictures on here?

Click here to see answer by solver91311(24713) About Me 

Question 1045937: find the center and radius of the circle defined by x^2-6x+1=8y-y^2
Click here to see answer by Fombitz(32388) About Me 
Question 1045937: find the center and radius of the circle defined by x^2-6x+1=8y-y^2
Click here to see answer by ikleyn(52747) About Me 

Question 1045944: you bought a car for $10,000 four years ago, since then it has lost 20% of its original value. Assuming depreciation is linear, how many years after your initial purchase will it be when the car is only worth $1,000?
Click here to see answer by ewatrrr(24785) About Me 

Question 1045941: find the standard equation of the line which passes through (1,-3) and is perpendicular to the line defined by 2y=3x-1
Click here to see answer by ewatrrr(24785) About Me 

Question 1046400: X4-227=398
Y2 +321=346

Click here to see answer by Alan3354(69443) About Me 

Question 1046704: https://gyazo.com/02296bc5c9975e9c2ef05d59070bb7ba
Thats a screen shot to my problem. I thought the answer would be (-1.2,-2.6) but its not an option. Am i doing something wrong? Thanks

Click here to see answer by josgarithmetic(39613) About Me 

Question 1046742: what is the answer to the answer?
a cricket ball is hit directly upwards. its height above ground, h meters, after t seconds, is given by +h=-4t%5E2%2B40t+
I have to determine the coordinates for the axis intercepts.
so i got
+let+h=0+
+0=-4t%5E2%2B40t+
my teacher got this, but i don't know how and i need it for my exam tomorrow
+h=4t%28-t%2B10%29+

Click here to see answer by josgarithmetic(39613) About Me 

Question 1046874: the distance between the following two points : (-12,4) and (-6,3)
Click here to see answer by MathLover1(20849) About Me 

Question 1047307: Shade the region(s) in the XY-plane indicated by the inequality y>=x^2-2x
Please explain clearly! Thank you so much.

Click here to see answer by josgarithmetic(39613) About Me 

Question 1048145: Slope and y intercept of -6x+y=-9
Click here to see answer by josgarithmetic(39613) About Me 

Question 1048174: The curve for which dy/dx = 2*x+k, where k is a constant, is such that the tangent at (0,3) passes through (-1.5,0). Find the gradient of this tangent and hence determine the value of k and the equation of the curve.
Thanks

Click here to see answer by Alan3354(69443) About Me 

Question 1048355: The graph shows the total number of alcohol-related car crashes in Ohio at a particular time of day for the years 1991-2000. Time is measured in hours after midnight.
(a) During what interval is the number of crashes below 15,000? (Enter the interval that contains smaller numbers first.)
( , )
(b) During what interval is the number of crashes above 15,000? (Enter the interval that contains smaller numbers first.)
( , ) ∪ ( , )

Click here to see answer by solver91311(24713) About Me 

Question 1048374: Given that l: 3x+4y-5=0, the x intercept is A and the y-intercept is B, find the perpendicular distance of (0,0) from line l (ie. the length of CO)
Click here to see answer by josgarithmetic(39613) About Me 

Question 1048874: - 2( 6 - 7 m ) + 1
Click here to see answer by Alan3354(69443) About Me 

Question 1049012: Graph the following equation and identify the​ y-intercept.
y=x+8

Click here to see answer by Alan3354(69443) About Me 

Question 1049286: I need help graphing y=-4/x
And also x^2 -1

Click here to see answer by stanbon(75887) About Me 

Question 1049375: Let the points (-1, -2) and (-1, 3) be the endpoints of a circle. Find the length of the diameter of the circle.
Click here to see answer by MathLover1(20849) About Me 

Question 1049392: Given the points (-1, -5) and (-1, 3) find the length of the radius of a circle.
Click here to see answer by Fombitz(32388) About Me 

Question 1049430: Let the points and be the endpoints of a circle. Find the equation of a circle.
What I have currently is:
r= 5/2
center point = (-1, 1/2)
d = 5

Click here to see answer by stanbon(75887) About Me 

Question 1049844: 12. Find the slope of the graph of the equation y = 3x - 4
13. Find the slope of the graph of the equation -4x + 2y = -10
14. Find the x and y intercepts of the graph of the equation -3x + 2y = 78. Find the intercepts algebraically and show your work on your work paper.
15. Find the x and y intercepts of the given graph in number 7.

Click here to see answer by josgarithmetic(39613) About Me 

Question 1049845: 12. Find the slope of the graph of the equation y = 3x - 4
13. Find the slope of the graph of the equation -4x + 2y = -10
14. Find the x and y intercepts of the graph of the equation -3x + 2y = 78. Find the intercepts algebraically and show your work on your work paper.
15. Find the x and y intercepts of the given graph in number 7.

Click here to see answer by ikleyn(52747) About Me 

Question 1049883: the center of a circle is (x,3x). Find x if the circle passes
through the origin and the diameter is 10 units

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1050264: parallel to the y-axis and passing through the point (14,8)
Click here to see answer by ewatrrr(24785) About Me 

Question 1050263: perpendicular to the x-axis and passing through the point (9,0)
Click here to see answer by ewatrrr(24785) About Me 

Question 1050276: passing through the midpoint of the line joining the points (4,0) and (5,3) and parallel to the line y = (5/7)x + 14
Click here to see answer by ewatrrr(24785) About Me 

Question 1050962: find the equation for the line that is perpendicular to the line y=-2 and passes through -4,1
Click here to see answer by josgarithmetic(39613) About Me 

Question 1050964: find the equation that passes through the point -2,-4 and is perpendicular to the line with the equation -3x-4y=8
Click here to see answer by josgarithmetic(39613) About Me 

Question 1050970: find the equation that passes through the point (-2,-4) and is perpendicular to the line with the equation -3x-4y=8
Click here to see answer by josgarithmetic(39613) About Me 

Question 1051244: Suppose the X-coordinate of point K is greater than its Y-coordinate. Which is the only quadrant where point K could not be located?
Click here to see answer by Fombitz(32388) About Me 

Question 1051354: find the equation in slope intercept form of the lines passing through the points with the giving coordinates (2,-1) (0,3)
Click here to see answer by josgarithmetic(39613) About Me 

Question 1051356: find the equation for the line that is parallel to the line with the equation x=5 passing through the points (2,-4)
Click here to see answer by ikleyn(52747) About Me 

Question 1051604: Find all points on y-axis which are 5 units from point (-5,3)
Click here to see answer by stanbon(75887) About Me 

Question 1052098: Please Help Me!
I have a solution that I have been diligently working on but cannot come up with a solution! It is due on the 11 of October and I am in grave need of assistance!
Problem: A 1-meter wide border must be placed around the triangle in the given picture. Find the equations of the three lines that define the outer edge of this border.
Picture of problem and video (for hint) is Here:
Picture link: https://www.scribd.com/document/327019766/Challenge-Problem-2
Video link (hint): http://screencast.com/t/1f75AMBDW

Click here to see answer by josgarithmetic(39613) About Me