You have to add the $51 to $13 and find the answer then divide the sum by $28,500
Answer:
x=-1
Step-by-step explanation:
hello :
3x+9-7x=2(x+6)
3x+9-7x=2x+12
3x-2x-7x=12-9
-6x = 6
x=6/-6 = -1
Answer:
The two numbers are -5 and -4
Explanation:
Assume that the first number is x and that the second number is x+1.
We know that the sum of their squares is 41. This means that:
x² + (x+1)² = 41
We will expand the brackets and factorize to get the value of x as follows:
x² + (x+1)² = 41
x² + x² + 2x + 1 = 41
2x² + 2x + 1 - 41 = 0
2x² + 2x - 40 = 0
We can divide all terms by 2 to simplify the equation:
x² + x - 20 = 0 ..........> equation required in part II
Now, we can factorize this equation to get the values of x:
x² + x - 20 = 0
(x-4)(x+5) = 0
either x = 4 .........> rejected because we know that x should be negative
or x = -5 ...........> accepted
Based on the above calculations, the two numbers are -5 and -4
Hope this helps :)
Answer:
X = 16 cm
Step-by-step explanation:
Pythagoras law is :
20^2 = X^2 + 12^2
400 = X^2 +144
400 - 144 = x^2
256 = x^2
x = ( 256 ) ^1/2
X=16
Get into form y=a(x-h)²+k where (h,k) is vertex
some terms:
quadratic coefient: number in front of the x² term
linear coefient: number in front of the x term
basically complete the square
so
y=x²+ax
first factor out the quadratic coefient (1),
y=1(x²+ax)
take 1/2 of the linear coefient and square it

,

add positive and negative of it inside the parentesees

factor perfect square

distribute

so invertex form, it is

or
the vertex is