Answer:
x = -2
Step-by-step explanation:
you can fist distribute -5 into the parenthesis
25x - 15 - 5x + 5 = -50
then combine like terms
20x - 10 = -50
add 10 to both sides
20x = -40
lastly divide both sides by 20
x = -2
that is your answer
Answer:
Step-by-step explanation:
We can equate the expression x^2+4x to f(x) and specify the variable of integration , the integrand and the symbol simply like this ,
Let,
Where the integrand is f(x) , x is the variable of integration , c is the constant of integration , and ∫ is the symbol of integration.
The derivate of what function is x^2 + 4x?
To find that out we integrate the function because Integrating a differentiate is the process of obtaining the original process because Integrals are also called as Anti-derivatives.
So,
This is an indefinite integral which would result in an addition of a constant later on because it does not have limits. The variable of integration is x because there is only one variable present in this expression so naturally the variable of concern is x
so now we solve,
Where K is the constant of the indefinite integral.
Step-by-step explanation:
something is missing here.
it is not clear, what exactly is 27 km. only the side of the orange triangle ? or the whole distance to the 90 degree angle ?
but in both cases that is not enough. we need some information about the split ratio of the orange side and the white side. it some angles in the graphic.
otherwise I can simply keep the given sides with their lengths but freely move the line between the orange and white triangles. there are infinite many solutions.
is it meant to be an isoceles triangle (2 equal sides) ? it certainly does not look like it, but that would be the only case where the given information can lead to a solution.
under that assumption the baseline of the white triangle is also 27 km.
the first side is 9km.
the second side we get via Pythagoras :
27² = 9² + x²
729 = 81 + x²
648 = x²
x = 25.46 km
now, since this is a right-angled triangle we can (especially to calculate the area) also consider the two sides enclosing the 90 degree angle as baseline and height.
the area of a triangle is baseline×height/2
area = 9×25.46/2 = 114.55 km²