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What is the slope of the line that is parallel to the line represented by the equation 3x - 4y equals 12?
Lines parallel to the line would have the same slope, which is 3/4. (0.75) 3x-4y = 12 3x-12 = 4y y = 3/4 x - 3 The y-intercept is -3 and the slope is 3/4.
What is the equation parallel to 3x -4y plus 7 equals 0 and passing through a point 5 4 on the line?
The parallel equation works out as: 4y = 3x+1 which can be expressed in the form of 3x-4y+1 = 0
What is the tangent line equation of the circle x2 plus y2 -6x plus 4y -7 equals 0 passing through the point 1 2?
Differentiate the circle equation to find the slope at any given point. x^2 + y^2 -6x + 4y -7 = 0 2x + 2y(dy/dx) - 6 + 4dy/dx =0 2x - 6 + (2y + 4) dy/dx =0 dy/dx = (6 - 2x) / (2y + +4) At the point ( 1,2) dy/dx = (6 - 2(1)) / (2(2) + 4) dy/dx = 3 / 8 The slope /gradient of the tangent line. At the point ( 1,2) y - 2 = (3/8)(x - 1) y - 2 = 3x/8 - 3/8 y = 3x/8 + 13/8 or 8y = 3x + 13 or 8y - 3x = 13 or 8y - 3x - 13 = 0 8
If the length of a rectangle is 4yards longer than the width and the perimeter is 40 yards what is the area?
let x=length of rectangle let y=width of rectangle x=y+5 2x+2y=40 2(y+5)+2y=40 2y+10+2y=40 4y+10=40 4y=30 4y=7.5 x=7.5+5 x=12.5 AREA: 12.5 x 7.5 = 93.75 YARDS
What is the point of intersection of the straight lines of 4y -2x equals 7 and 5y -3x equals 6?
Lines: 4y-2x = 7 and 5y-3x = 6 Multiply the 1st line by 5 and the 2nd line by 4 So: 20y-10x = 35 and 20y-12x = 24 Subtract the 1st line from the 2nd line: 2x = 11 => x = 11/2 Through substitution both lines intersect at: (11/2, 9/2)
What type of lines are these 3x-2y equals -2 and 6x-4y equals 0?
parallel
What type of lines are these 3x - 2y equals -2 and 6x - 4y equals 0?
They are parallel straight lines,
What type of lines are these 3x-2y equals -2 and 6x-4y-0?
They are straight lines. They are positively inclined. They have the same gradient.
Simplifly 3x - 2y plus 7x plus 4y?
3x - 2y + 7x + 4y = 3x + 7x - 2y +4y = (3+7)x + (-2+4)y = 10x + 2y
Which type of lines are these 3x-2y equals -2 and 6x-4y equals 0?
3x - 2y = -2 and 6x - 4y = 0Solving both equations for y, we havey = (3/2)x + 1 and y = (3/2)xSince both lines have the same slope, they are parallel lines.
Simplify 3x plus 2y plus 2 equals 4y plus 4?
The equation can be simplified to show a value of Y in terms of X. 3X + 2Y +2 = 4Y + 4 3X + 2 = 2Y + 4 3X -2 = 2Y and 2Y = 3X - 2 means that Y = (3/2 X) -1
3x - 2y -2 and 6x - 4y 0?
-2
Solve this equation using subtitution x equals 4y and 3x-2y equals 20?
3x - 2y = 20 Substitute x = 4y into this equation: 3(4y) - 2y = 20 ie 12y - 2y = 20 10y = 20 so that y = 2 and then x = 4y gives x = 2*4 = 8
Describes the graph of the equations 2y equals 3x plus 2 and 4y equals 6x plus 1?
The lines are parallel.
How to find elimination method for 3x - 4y equals 30 and 3x plus 2y equals 6?
Subtract: 3x - 3x - 4y - 2y = 30 - 6 ie -6y = 24 so y = -4 and x = 14/3
What is the answer for -3x-2x plus 4y-2y?
The answer is -5x + 2y. The terms with the same variable are combined by adding or subtracting their coefficients, and then the result is written with the corresponding variable. In this case, -3x and -2x combine to give -5x, and 4y and -2y combine to give 2y.
What are the solutions for the equations x equals 4y and 3x-2y equals 20?
x = 4y 3x - 2y = 20 Substituting the value of x into the second equation, 3*(4y) - 2y = 20 ie 12y - 2y = 20 or 10y = 20 so that y = 2 Then x = 4y = 4*2 = 8. So (x , y) = (8 , 2)
