Answer:
2÷4 and 4÷8
Step-by-step explanation:
Multiplying 2 by 1/2 and multiplying 4 by 1/2 can all be simplified to 1/2 when divided by its multiplier
You need to subtract everything to the left side and set it equal to zero. Combine like terms.
Then, the coefficient of x^2 is a, the coefficient of x is b, and the constant term is c.
4x^2 - 5 = 3x + 4
4x^2 - 3x - 5 - 4 = 0
4x^2 - 3x - 9 = 0
a = 4; b = -3; c = -9


Answer:
The numbers are 12 and 3.
Step-by-step explanation:
We can solve this problem by working with the information we have and setting up some equations.
We know that one number is four times as large as another. So, let the smaller number be represented by the variable x and the bigger number be represented by 4x, since it is four times as large.
Now, we know that if the numbers are added together, then the result is six less than seven times the smaller number. This can also be represented by the equation 4x + x = 7x - 6.
Let's solve that equation like so:

So, the smaller number must be 3 (remember that x represented the smaller number). To find the bigger number, all we need to do is multiply 3 by 4, which gives us 12. Therefore, the numbers are 12 and 3.
Answer:
2,-1.5
Step-by-step explanation:
To find the midpoint of a line segment, take the average of the x coordinates and y coordinates of the two points that make it up.

=

=2,-1.5
Use the Pythagorean theorem. The Pythagorean Theorem uses the following formula:

Plug in the known values into the equation:



Subtract both sides by 36.

Square root both sides to get b by itself.


The value of x is 8.