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What two numbers give you a product of 6.25 and a sum of 5?
Not two numbers- the same number twice: 2.5 and 2.5. To find this out, use simultaneous equations: xy=6.25 and x+y=5. Rearrange the second equation to y=5-x and substitute this value for y into the first equation: x(5-x)=6.25. Expand the brackets to get 5x-x2=6.25, subtract 6.25 from both sides to get -x2+5x-6.25=0. Apply the quadratic formula to find the final answer.
Volume of triangular prism?
I think first you calculate the area of the triangular face. If you forgot that's ok. The formula is A= bxh divided by 2 which is the same as the area of a triangle is base multiplyed by height and divided by two. Then you need to know the length of the prism(the length of the rectangle)and multiply them together. So your calculation should look like this: Triangular face- A=bxh divided by 2 let's say that the base of the triangle is 5 cm and the height is 12cm Length of prism- let's say the length is 25 cm A=bxh divided by 2 A=5 x 12 divided by 2 A = 20 divided by 2 A = 30 cm squared 30 x 25 = 750cm squared( little 2)
Cos series expression?
cos(x) = 1 - x2/2! + x4/4! - x6/6! + ... where x is the angle measured in radians.
How do you calculate Pythagoras theorem?
The theorem uses a side called the "hypotenuse" this is the longest side of any triangle. The formula is x= nn + mm (x is the hypotenuse and n and m are the other sides) Lets say the sides were 3 and 4. x = 3x3 + 4x4 x = 9 + 16 x = 25. This is NOT the finished result, as we still have to SQUARE ROOT this. 25 square rooted is 5. So the sides are 3, 4 and 5
A farmer leans a 12-ft ladder against a barn The base of the ladder is 3 ft from the barn To the nearest foot how high on the barn does the ladder reach?
Arthur Pythagoras rules! 12 x 12 = 3 x 3 + x2, so x2 = 144 - 9 and x = sqrt 135 = 11.62 so to the nearest foot it reaches 12 feet (actually 11.62)
What is 5-X divided by X²-25?
30
How do you factor 5x2 125?
5(x2 - 25) 5(x + 5)(x - 5)
X squared minus 25 divided x plus 5?
30
What is the solution to the inequality below x2 is less than 25?
If x2 < 25 Then: |x| < 5 -5 < x < 5
What is 3x4 plus 5x3 plus x2 - 5 divided by x 2?
3x4 plus 5x3 plus x2 - 5 divided by x 2 =[(3x4) + (5x3) + (x2 - 5)]/x2 =(12 + 15 + x2 -5)/x2 =(27 - 5 + x2)/x2 =(22 + x2)/x2
X2 10x 25?
This can be factored in multiple ways, depending on the signs. X2+10x+25 factors into (x+5)2 or (x+5)(x+5). X2-10x+25 factors into (x-5)2 or (x-5)(x-5). If 25 is being subtracted, then the trinomial is impossible to factor.
How do you answer the problem x2 plus 10x plus equals 0?
x2 + 10x = 0 x2 + 10x + 25 = 25 (x + 5)2 = 25 x + 5 = +-5 x1 = 0 x2 =10
X2 equals 5 what is the value of x?
if x2 = 5 the value of x has to be 5 divided by 2 which is 2.5 x = 2.5
X2-10x plus 25 equals 0?
x2 - 10x + 25 = 0(x - 5)(x - 5) = 0x - 5 = 0x = 5
How do you factor x2-10x 25?
(x - 5)(x - 5)
(x+5)(x-5)?
x2−25
Factorise x2 - 10x 25?
x^2 - 10 x + 25 = (x - 5)(x - 5)
