Hey there! I'm happy to help!
To find the distance between two points, you square the difference of the x-values and square the difference of the y-values, add them, and then you square root it!
First, we'll add our two x-values.
-6-0= -6
We square it, which means to multiply it by itself.
-6(-6)=36 (If you multiply an even number of negative numbers, your answer is positive. Since we have two negative numbers, we get positive 36)
Now, we do the same with the y-values.
-2-(-1)=-1 (two negatives make it a plus, as in minus minus 1 is plus one.)
We square it.
-1(-1)=1
Now, we add these x and y value differences.
36+1=37
Now, we find the square root using a calculator.
√37≈6.08
Have a wonderful day!
We have been given that Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount 1.03.
We are asked to write an expression for the amount of money Clare would have after 30 years if she never withdraws money from her account.
We will use exponential growth function to solve our given problem.
An exponential growth function is in form
, where
y = Final value,
a = Initial value,
r = Growth rate in decimal form,
x = Time.

We can see that initial value is $160. Upon substituting our given values in above formula, we will get:


To find amount of money in Clare's account after 30 years, we need to substitute
in our equation.

Therefore, the expression
represents the amount of money that Clare would have after 30 years.
Answer:
= 6
Step-by-step explanation:
in the third step, they did 2 x -12 and got 24. It should’ve been -24 since it was a positive times a negative. It shouldve been
-24 - (-30)
-24 + 30
= 6