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You only need to find the vertex of a parabola, so I assume this is the equation.
Y = X^2 - 10X + 25
set to 0
X^2 - 10X + 25 = 0
now, you need to complete the square. Halve the linear term (-10), square it and add that to both sides. subtract 25 from each side to start
X^2 - 10X = - 25
X^2 - 10X + 25 = - 25 + 25
factor left; gather like terms right
(X - 5)^2 = 0
Vertex
(5,0)
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What button is a shorcut for scientific notation on a scientific calculator?
Some calculators have a "x10x" button.
The ratio of two numbers is five sixths the second number is sixteen less than twice the first number find both numbers?
Ratio is 5:6, so Let x=the first number, and then 2x-16 = the second number.5/6 = x over (2x-16) : do cross multiplication5*(2x-16) = 6*x10x-80=6x (combine like terms, in this case, the variable x, by subtracting 10x on both sides)-80 = 6x-10 =-4x-80=-4x (to get x by itself, divide negative 4 on both sides)20 = x (negative divided by a negative equals a positive #)2x-16 = 2(20)-16 = 40-16 = 24The first # is equals 20 and the second # is equals 24, 20 to 24 is equals to ratio 5:6.
The period of an ocean wave is 10 seconds what is the wave's frequency?
Period = 1/FrequencySo if we set Frequency = x THEN:10 = 1/x10x = 1x = 1/10IF Period of a Wave is 10 Seconds THEN The Frequency =1/10 or .10
How do you do scientific notation on a calculator?
The answer depends on your calculator but many have shortcut keys for "x10x" or something similar.
What button is a shorcut for scientific notation on a scientific calculator?
Some calculators have a "x10x" button.
What is the standard notation of 4.5 x 10 x 10 x10 x10 x10 x10x 10 x10?
4.5 x 108 = 450,000,000
What is the square root of x to the 11th power?
This can either be written as x5.5, or x5 times square root of x. √x11 = √x10x = x5√x
The ratio of two numbers is five sixths the second number is sixteen less than twice the first number find both numbers?
Ratio is 5:6, so Let x=the first number, and then 2x-16 = the second number.5/6 = x over (2x-16) : do cross multiplication5*(2x-16) = 6*x10x-80=6x (combine like terms, in this case, the variable x, by subtracting 10x on both sides)-80 = 6x-10 =-4x-80=-4x (to get x by itself, divide negative 4 on both sides)20 = x (negative divided by a negative equals a positive #)2x-16 = 2(20)-16 = 40-16 = 24The first # is equals 20 and the second # is equals 24, 20 to 24 is equals to ratio 5:6.
The period of an ocean wave is 10 seconds what is the wave's frequency?
Period = 1/FrequencySo if we set Frequency = x THEN:10 = 1/x10x = 1x = 1/10IF Period of a Wave is 10 Seconds THEN The Frequency =1/10 or .10
How do you do scientific notation on a calculator?
The answer depends on your calculator but many have shortcut keys for "x10x" or something similar.
What is 0.59 as a fraction while 9 beeing periodical?
54/90 Here is why: Let .59....=x10x=5.9.... 100x=59.9.... so 100x-10x=59.9...-5.999-54 90x=54 and x=54/90 This is .6 so we have shown that .59999999999... forever is in fact .6
A tree is 24 feet tall and casts a shadow of 10 feet At the same time a tower casts a shadow of 25 feet What is the height in feet of the tower?
50 ft. tall you can use a proportion.10/25=20/x10x/10=500/10x=50Improved Answer:Let the height be x:x/25 = 24/10Multiply both sides by 25:x = 600/10Height of tower = 60 feetThis problem can also be solved through trigonometry because the tangent ratio works out as 67.38013505 degrees.
