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The reciprocal of a number plus the reciprocal of twice the number equals one half?
Let the number be x.Reciprocal of x = 1/xReciprocal of x + Reciprocal of 2x = 1/x + 1/(2x) = (3/2)x = 1.5xIf the value of x = 1/3 then answer is one half.If the value of x = 2 then answer is 3.So, the statement is true only for x = 1/3.___________1/x + 1/2x = 1/2Multiplying both sides of the equation by 2x gives:2x/x + 2x/2x = 2x/2This simplifies to:2 + 1 = xx = 3 (i.e. the reciprocal is 1/3)
What is the slope of a line that is peroendicular to the line y equals 2x plus 5?
Perpendicular lines have a negative reciprocal slope. Slope of y=2x+5 is 2/1 negative reciprocal is (-1/2)
Is y equals 2x subtract 3 and 2x subtract 4y equals 8 parallel perpendicular or neither?
y=2x-3 2x-4y=8-4y=-2x+8y=-2/-4x+8/-4y=1/2x-2the equation for slope intercept form is y=mx+bm being the slopeparallel equations would have the same slope (m) andperpendicular equations have opposite reciprocal slopesthe opposite reciprocal of 2 is -1/2the equations are neither parallel or perpendicular.
What is the reciprocal of a number plus the reciprocal of twice the number equals three over ten?
Let the number be x: 1/x+1/2x = 3/10 Multiply all terms by x: 1+1/2 = 3x/10 Multiply all terms by 10: 10+5 = 3x 15 = 3x Divide both sides by 3 to find the value of x: x = 5
How do I write an equation in slope-intercept form for a line perpendicular to the graph of the equation that passes through the x-intercept of that line?
As for example the perpendicular equation to line y = 2x+6 could be y = -1/2x+6 because the negative reciprocal of 2x is -1/2x
Give the slope of a line perpendicular to y equals -2x plus 5?
The slope of a line perpindicular to y=-2x+5 is 1/2 because a perpindicular slope is the negative reciprocal of the slope.
What is the slope of a line perpendicular to the line with equation y equals -2x plus 1?
It will be the positive reciprocal of -2 which is 1/2
A number three times its reciprocal is two?
Let's call the number x, then the reciprocal is 1/x 3/x is three times the reciprocal and that equals two. So 3/x=2 or3=2x and means x=3/2 Check it x=3/2 reciprocal is 2/3 and 3x 2/3=2.
What is the reciprocal of 5 less than a number is 4 times the reciprocal of twice the number what's the number?
Suppose the number is x. Then 1/(x-5) = 4*(1/2x) Multiply both sides by x*(x-5) to give: x = 4*(x-5)/2 = 2*(x-5) = 2x - 10 and so x = 10
What does slopes of parallel and perpendicular mean?
When two lines are parallel, they have the same slope. For example:y=5x-3 andy=5x+9These lines are parallel, because they have the same slope.When two lines are perpendicular they have negative reciprocal slopes. For example:y=2x-6 andy=-1/2x+2These lines are parallel, because they have negative or opposite reciprocal slopes.
What is the slope of a line perpendicular to line -2x 9y-8?
Without an equality sign and not knowing the plus or minus value of 9y it can't be considered to be a straight line equation. But in general the perpendicular slope is the reciprocal of the slope of the equation. As for example if the slope was 3 then its reciprocal is -1/3. And if its slope was -3 then its reciprocal would be +1/3
The reciprocal of an integer plus the reciprocal of two times the integer plus two equals two-thirds Find the integer?
1/x + 1/2x + 2 = 2/3; 3/2x = -4/3; -8x = 9 (2 + 1)/2x + 2 = 2/3 3 + 4x = 4x/3 9 + 12x = 4x 8x = -9 x = -1 1/8 which isn't an integer but fits the stated conditions If you're doing A+ the answer is 2.
