To solve this problem you must apply a theorem called: Intersecting secant theorem. The proccedure is shown below:
1) For the figure shown on the left:
(5)(x+5)=(6)(4+6)
5x+25=60
5x=60-25
x=35/5
x=7
2) For the figure shown on the right:
(3)(3+5)=(4)(x+4)
24=4x+16
24-16=4x
8=4x
8/4=x
x=2
Answer:
Step-by-step explanation:
Given:
The quadratic function is given as:
The standard form of a quadratic function is given as:
, where, 'a', 'h' and 'k' are real numbers.
Now, in order to convert the given function to standard form, we use completing by square method.
![-x^2+2x=-(x^2-2x)=-[(x-2)^2-2^2]=-[(x-2)^2-4]=-(x-2)^2+4](https://tex.z-dn.net/?f=-x%5E2%2B2x%3D-%28x%5E2-2x%29%3D-%5B%28x-2%29%5E2-2%5E2%5D%3D-%5B%28x-2%29%5E2-4%5D%3D-%28x-2%29%5E2%2B4)
Now, can be rewritten as:
Therefore, the standard form of the function is:
Answer:
The Possibilies is given below.
Step-by-step explanation:
Given Amber's bank statement shows a closing balance of $224.13. There are no outstanding checks or deposits. Her checkbook shows a balance of $221.38.
The difference in amount i.e $224.13-$221.38=$2.75
One possibility that is due to the previous month account balance and the another
The interest is certainly a possibility since interest would add additional money to her account and if the interest was $2.75 and she added that to her balance.
Answer:
104
Step-by-step explanation:
Let's say that the numbers are x and y. So, we know that....
x+y=186
y-x=22
Now we can use the substitution method to find the numbers. y-x=22 turns into y=22+x. And now we can substitute to the second equation into the first equation.
x+22+x=186
2x=164
x=82
y=22+82
y=104
Our numbers are 82 and 104 and the larger integer is 104, so that's the answer.
