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What is the x and y intercepts of 5x-7y equals -35?
5x - 7y = -35At the x-intercept, y=0:5x = -35x = -7At the y-intercept, x=0:-7y = -35y = 5
Find the slope -9x-7y equals 8 the slope is?
In order to find the slope of your line, we must first get it into y=mx+b.-9x-7y = 8-9x + 9x - 7y = 8- 7y = 9x + 8-7y/7 = 9x/7 + 8/7-y = 9x/7 + 8/7(-1) -y = 9x/7 + 8/7y = -9x/7 - 8/7The slope is -9/7 and the y-intercept is -8/7
What is the straight line equation passing through points 4 and 0 when it is perpendicular to x plus 7y plus 4 equals 0?
x+7y+4 = 0 => y = -1/7x-4/7 The slope of the second equation is the reciprocal of the first equation with the minus sign changing to a plus sign. y = mx+c where m is the slope and c is the intercept on the y axis So: 7*4+c = 0 28+c = 0 c = -28 Therefore the perpendicular equation is: y = 7x-28 which can be expressed in the form of 7x-y-28 = 0
What is the area of the triangle formed by the line 3x -7y plus 4 equals 0 meeting the x and y axes?
Equation: 3x -7 +4 = 0 or 3x -7 = -4 x intercept: (-4/3, 0)) y intercept: (0, 4/7) Distance from x intercept to the origin: 4/3 Distance from y intercept to the origin: 4/7 Area of the formed right angle triangle: 1/2*4/3*4/7 = 8/21 square units
What is 27x cubed plus 343y cubed factored?
In order to factor the sum of the cubes, we need to use this form a³ + b³ = (a + b)(a² - ab + b²). Let a³ = 27x³ and b³ = 343y³. Then, a = 3x and b = 7y. Perform substitution of these terms for the form, and we obtain: 27x3 + 343y3 = (3x + 7y)(9x2 - 21xy + 49y2)
