Answer:

Step-by-step explanation:
Given


Required
The equation of the perpendicular bisector.
First, calculate the midpoint of the given endpoints



Open bracket


Next, determine the slope of the given endpoints.




Next, calculate the slope of the perpendicular bisector.
When two lines are perpendicular, the relationship between them is:

In this case:

So:


Since the slope is
, the equation is:

Where:

Recall that:

So:

Hence, the equation is:

Answer: √7 is between 2 and 3
Step-by-step explanation:
The next lower number that is a perfect square is 4, the next higher perfect square is 9. Take the roots of those two numbers to find the integers you are looking for.
Answer:
2.45c + 1.65c = 4.12 + 0.75
Step-by-step explanation:
To write an equation to find the value for c, we need to declare what c is first.
c = price of fruit
2.45c + 1.65c = 4.12 + 0.75
Now we multiplied c to 2.45 and 1.65 and added them together, because whatever the value of c is will give us the equivalence of the sum of 4.12 + 0.75.
Now to check if the equation is right, let's solve for c.
2.45c + 1.65c = 4.12 + 0.75
4.1c = 4.87
Now to get the value of c, we divide both sides of the equation by 4.1.

c = 1.19
Now let's substitute the value of c in the equation to see if we got it right.
2.45(1.19) + 1.65(1.19) = 4.12 + 0.75
2.92 + 1.96 = 4.87
4.87 = 4.87
Therefore concluding that the value of c is 1.19.