Answer: 8 and 9 or -9 and -8
Step-by-step explanation:
Let 
be the first of the two integers. Then, since the numbers are consecutive, 
is the other integer. We then know that the sum of the squares of 
and is equal to 145. So, now we have the equation
which can be expanded and simplified to
which then gives us the quadratic equation
This can then be factored into
Which can be simplified further into
So either 
or 
. This gives us two solutions: 8 and 9 or -9 and -8.
Hope this helps! CHEERS!
Answer:
y = -2x + 1
Step-by-step explanation:
The y-intercept is given by the point that is on the y-axis. (1)
This means that the answer contains a +1
Then you must find if the slope is positive or negative
In this case the slope is negative because the line goes "downhill" from left to right
Since the slope is negative it means that there will be a negative sign in the beginning of the equation
Next, to find the slope you need to find the rise over run
Since it is a negative slope the rise will be negative and the run will be positive.
To find the slope find two clear points on the graph such as (0,1) and (2,0)
To find the slope, use the slope formula
This would look like: (0-2)/(1-0)
Your slope will be -2x
Piece it all together and you get a final answer of y= -2x+1
1) Given
2) Midpoint of segment AC is given as B. Therefore, AB~= BC
3) Given
4) Knowing that AC~=BC, AC~= DE
Hope I helped :)
Answer:
Step-by-step explanation:
For the first term you have to multiply 2x(-4) and add 1, for the second term you have to multiply 3x5 and add 2.
Now you need to find the lowest common multiple between the denominators, just cross multiply as it is shown:
finally you get the result by doing a substraction = 7/6, or 1
Answer:
A. The expression of "40 times the sum of 24 and 36" would be 40 x (24+36), and the value would be 2400.
B. for the words portion it would be "20 times the sum of 650 and 350", and the value of that expression is 20,000.
C. The expression of "divide the difference between 1,600 and 400 by 4" should be 1200 / 4, and if that is the correct way to format the expression then the value would be 300.
D. for the words portion it would be "100 times the sum of 78 and 12", and the value of that expression is 10,000.
Step-by-step explanation:
