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:
10%= 40$ 30%=120$
Step-by-step explanation:
ok so u earn 400$ at a yard sale. you divide it by 100 400/100=4. ok so then you multiply four by 10=40 and that is 10% multiply it by 30 u get 120 or 30%
sorry for the bad spelling
Answer: The mass of the object is 10 kg
Step-by-step explanation:
According to Newton's second law of motion, the force
applied to an object with mass
is directly proportional to its acceleration
:
(1)
If we isolate
:
(2) This means the acceleration of the object varies inversely with its mass
Now, we are given the following data to calculate a constant force using (1):

(3)
(4)
(5)
If we apply this same force calulated in (4) in another object with an acceleration of
, its mass
will be:
(6)
(7)
Finding
:
This is the mass of the object
Answer:
make all the numbers have the same denominator, then simply see what multiplies to equal both fractions. your answer should be -3/10(1/5k+1)
Step-by-step explanation: