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Quadratic Equations in Vertex Form have a general form: #color(red)(y=f(x)=a(x-h)^2+k#, where #color(red)((h,k)# is the #color(blue)("Vertex"#

2015年2月20日 · First, we need to find where the two functions intersect. 4x-x^2=x x^2-4x+x=0 x^2-3x=0 x(x-3)=0 x=0 and x=3 So our interval of integration is 0<=x<=3 y=4x-x^2 is a parabola that is concave down y=x is the line that passes through the origin with slope 1 The integral for the area is int4x-x^2-xdx=int3x-x^2dx integrating we have 3/2x^2-1/3x^3 ...

2017年7月31日 · If y is inversely proportional to x, and if y=6 when x=4 then underline(y=24/x). Using this formula we find that if y=8 then underline(x=3) Given, y is inversely proportional to x or y prop x^(-1) this is if and only if y prop 1/x <=> y=1/x k Also, we know that if y=6 when x=4 then 6=1/4 k <=> multiply both sides by 4 24=k this is our constant of proportionality => this gives …

2015年5月24日 · For a quadratic equation of the form y = and expression in x The x-intercepts occur at the points where y=0 Given (y=)((x+4.5)^2-6.25) We need to solve (x+4.5)^2 -6.25 = 0 (x+4.5)^2 = 6.25 x+4.5 = +- 2.5 x = -4.5 +- 2.5 The x-intercepts are (-2) and (-7)

Example . Solve: 3x + 4m - 5 = 2x - 2m + 7. First, combine x terms: -2x = - 2x

#= 6sqrt(2·5^2)# # = 30sqrt2# Now if you want to divide , then the coefficients are divided among themselves and sub-radical amounts each other, placing the latter quotient under the radical common and the result is simplified.

2014年8月9日 · The equation that relates wavelength, frequency, and speed of light is c = lambda*nu c = 3.00xx10^8 "m/s" (the speed of light in a vacuum) lambda = wavelength in meters nu = frequency in Hertz (Hz) or 1/"s" or "s"^(-1)". So basically the wavelength times the frequency of an electromagnetic wave equals the speed of light. FYI, lambda is the Greek letter lambda , …

2016年8月23日 · A ratio is a comparison between two (or more) different quantities of the same unit. A ratio does not tell us how many there are altogether, only how their numbers compare. For example if the numbers of boys and girls at a hockey match are in the ratio 2:1 , we know the following information: There are more boys than girls. There are 2 boys for every girl The …

2015年11月17日 · The parallax formula states that the distance to a star is equal to 1 divided by the parallax angle, p, where p is measured in arc-seconds, and d is parsecs. d=1/p Parallax is a method of using two points of observation to measure the distance to an object by observing how it appears to move against a background. One way to understand parallax is to look at a …