<span>Use the distance formula to find the length of each side and then add the lengths.
Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
Use the distance formula to find the length of the sides, and then multiply two of the side lengths.</span>
Answer:
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
Step-by-step explanation:
we know that
The equation of the line into point slope form is equal to

we have


substitute

Answer:
a. $60
Step-by-step explanation:
We will use simple interest formula to solve our given problem.
, where
A= Amount after t years.
P= Principal amount.
r= Interest rate in decimal form.
t= Time in years.
Let us find amount of loans repayable after 12 months for taking two amounts of $2000 and $1000.
As $2000 and $1000 are less than 2500, so the rate of loan will be 10%.

12 months = 1 year.




Now let us find amount repayable after 12 months for borrowing $1000.




Adding these amounts we will get total repayable amount after 12 months for borrowing $2000 and $1000 separately.

Now let us find repayable amount after 12 months for taking 1 loan. As $3000 is between $2501 and $7500, so rate of loan will be 8%.





Now let us find difference between both repayable loan amounts.


Therefore, the customer should have saved $60, if he had taken out one loan for $3000 and option a is the correct choice.
Answer:
The value of P(z<1.00)=0.8413
Step-by-step explanation:
Using a standard normal table, the area under the standard normal curve below the given value of z=1 is:
z <u> .00</u> .01
0.9 0.81594 0.81859
<u>1.0</u> <u>0.84134</u> 0.84375
1.1 0.86433 0.86650
P(z<1.00)=0.84134
Rounded to 4 decimal paces
P(z<1.00)=0.8413