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What is a direct variation?
A direct variation is when the value of K in multiple proportions is all divisible by the same number for example: XY=(1)(10) K=10 XY=(2)(20) K=40 XY=(3)(30) K=90 XY=(4)(40) K=160 In this situation the constant (K) of each proportion is divisible by 10 making the multiple equations a direct variation.
What is the equation and its distance from origin that meets the line joining the points 13 17 and 19 23 at its midpoint on the Cartesian plane showing work?
Points: (13, 17) and (19, 23) Midpoint: (16, 20) Slope of required equation: 5/4 Its equation: 4y = 5x or as y = 1.25x Its distance from (0, 0) to (16, 20) = 4 times sq rt 41
Which equation is equivalent to 4t equals 20?
-2t = -10
What is the value of x in the equation 4x - 20 equals -4?
4x - 20 = -44x = 16x = 4
How do you solve step by step 2y-20?
22
Is 20 a direct variation?
No. It is a single number. For a direct variation you need a minimum of two pairs of ordered numbers.
What is the first step in solving the equation -48 -16 equals 20?
-48 -16 = 20 First add -48 and -16, which = -64, which indicates that this is not an equation, because both sides are not equal. -64 ≠20
If the quotient of two numbers is 4 and their sum is 20. What are the two numbers?
Let x the first number, y the second number. equation 1: x/y = 4 equation 2: x+y =20 equation 3: manipulate equation 1 ----> x=4y substitute equation 3 to equation 2: 4y+y=20 5y=20 y=20/5 y=4 solve for the value of x by substituting the value of y to equations 1 or 2: using equation 1: x/4=4 x=4*4 x=16 using equation 2: x+4=20 x=20-4 x=16 Therefore, the two (2) numbers are: 4 and 16.
What is a direct variation?
A direct variation is when the value of K in multiple proportions is all divisible by the same number for example: XY=(1)(10) K=10 XY=(2)(20) K=40 XY=(3)(30) K=90 XY=(4)(40) K=160 In this situation the constant (K) of each proportion is divisible by 10 making the multiple equations a direct variation.
What 2 numbers when multiplied equal -16 and when added equal 20?
Let the numbers be a and b. then :-ab = -16 therefore b = -16/aa + b = 20 : substituting for b in this equation gives :-a - 16/a = 20 : a2 - 16 = 20a : a2 - 20a - 16 = 0Solving for a quadratic equation produces a = 10 ± 10.77 (2dp)The two numbers are therefore 10 + 10.77 = 20.77 and 10 - 10.77 = -0.77
What is the algebraic equation for 16 inccreased by twice a number is - 24?
It could be: 2x+16 = -24 in which case the value of x is -20
What is the equation for 4 cubed is the difference between four time 20 and16?
(4 x 20) - 16 = 43 Check: 80 - 16 = 64 64 = 64
When you have a set of numbers inside parentheses in an algebraic equation what do you do with these numbers?
This is the part of the equation that you solve first. for example: 4x4+(6-2)= you subract 6-2=4 then 4x4=16 then 16+4=20
Solve this equation 3p - 16 is less than 20?
3p - 16 < 20Add 16 to each side:3p < 36Divide each side by 3:p < 12
Michael has a water pump that will pump water at the rate of 5 gallons per minute Use a direct variation formula to determine how many gallons of water it will remove in 20 minutes?
5 x 20 = 100
What is the first step in solving the equation -4x - 16 equals 20?
Combine the constants on one side. -4x = 36
If 16 less than four times a number is 64 what is the number?
4x - 16 = 64Add 16 to each side of the equation:4x = 80Divide each side by 4:x = 20
