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What are the points of intersection when the line y equals 10x -12 crosses the curve y equals x squared plus 20x plus 12?
If: y = 10x -12 and y = x^2 +20x +12 Then: x^2 +20x +12 = 10x -12 Transposing terms: x^2 +10x +24 = 0 Factorizing: (x+6)(x+4) = 0 => x = -6 or x = -4 Points of intersection by substitution are at: (-6, -72) and (-4, -52)
If x equals 5 and y equals 2 then 5x plus 9y equals?
I x=5 and y=2, then (5x5)=25 plus (9x2)=18. 25+18=43
3y plus 5 equals y-25?
3y+5=y-25 2y=-30 y= -15
2x plus y equals 25 x plus y equals 14?
2x + y = 25 x + y = 14 Subtract second equation from the first: x = 11 Substitute this value of x in the second equation: 11 + y = 14 ie y = 3
What are the solutions to the simultaneous equation of 2x plus y equals 5 and x squared -y squared equals 3 showing work?
2x + y = 5 . . . thus y = 5 - 2x x2 - y2= 3 . . . . now substitute for y in this equation. x2 - (5 - 2x)2 = 3 . . . and after expansion this becomes, x2 - 25 + 20x - 4x2 = 3 -3x2 + 20x - 28 = 0 . . . and this factors as, (-3x + 14)(x - 2) = 0 Then, x = 2 , x = 14/3 When x = 2, then 2x + y = 5 gives the result y = 1. When x = 14/3 then 2x + y = 5 gives the result y = -13/3.
What is the point of intersection of the parabolas y equals x2 plus 20x plus 100 and y equals x2 -20x plus 100 showing work?
If: y = x2+20x+100 and x2-20x+100 Then: x2+20x+100 = x2-20x+100 So: 40x = 0 => x = 0 When x = 0 then y = 100 Therefore point of intersection: (0, 100)
How do you solve 20x plus 5y equals 15?
If: 20x+5y = 15 Then: y = -4x+3
Where do the parabolas of y equals x squared plus 20x plus 100 and y equals x squared minus 20x plus 100 meet on the x and y axis?
They touch each other at (0, 100) on the x and y axis.
What is the slope if the equation is y equals 20x plus 40?
20
What is 20x plus 80y equals 0 in y equals mx plus b?
20x + 80y = 0Subtract 20x from each side of the equation:80y = -20xDivide each side by 80:y = -1/4 xm = -1/4b = 0
What is the point of contact between the curves of y equals x squared plus 20x plus 100 and y equals x squared -20x plus 100?
The graphs of the two equations will intersect when x² + 20x + 100 = y = x² - 20x + 100 Subtracting x² +100 from both sides you get 20x = -20x that will only be true when x = 0. At x = 0, y = 100 for both equations - so the point of contact would be (0,100)
What is the x intercept of -20x plus y equals 35?
x = -1.75
How do you turn 20x plus 80y equals 0 into slope intercept form?
If: 20x+80y = 0 Then: 80y = -20x And: y = -0.25x So the slope is -0.25 and it has no y intercept
-20x 5y equals 40 changed to slope-intercept form?
If the equation is -20x-5y=40 then the answer is -5y=20x+40 which equals y=-4x-8 If the equation is -20x+5y=40 then the answer is 5y=20x+40 which equals y=4x+8
What is the value of x and y if y plus y equals 25 to the power of 25?
Well you can find what it equals in terms of x. If you know that y plus y equals 25 to the power of 25 then you know that 2y=25^25 which means that y=(25^25)/2 - this is a huge number. To find x+y you just add x to what y equals so you get x+(25^25)/2
What is y plus 7 equals -18?
y= -25
Y plus x equals 9 10y plus 20x equals 100?
y + x = 9 10y + 20x = 100 This is a basic linear system of equalities. We can start by rewriting the first equation as: -10y - 10x = -90 by multiplying the equation by -10, from here we can eliminate y and solve for x (-10y - 10x = -90) + (10y + 20x = 100) = (10x = 10) This yields x = 1, and by plugging x into the first equation y = 8
