1) If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

It is true (See explanation)

Step-by-step explanation:

You did not specify what you need, so I will assume that you need to know if the statement given in the exercise is true or false.

First, it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees .

By definition, an angle that measures 90 degress is also known as "Right angle".

There is a Theorem called "Pythagorean Theorem". This theorem states the following: "In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs".

The theorem represented as an equation is the shown below:

Where "a" is the hypotenuse (which is the length of the longest side of the triangle) and "b" and "c" are the legs ot the triangle (To see it clearly, you can observe the Right triangle attached)

Therefore, the statement given is correct.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

answer:

some responsibilities that come with having a checking account -

1. we have to maintain check register with exactness to avoid checks being returned for insufficient funds which is called bouncing a check.

2. we need to update our check register each time we make a transaction using a convenience card. updating check register will   save   us from   overdrawing of checking account.

3. read the agreement the bank gave you when you signed up for our checking account. this includes all the fees and the minimum balance we need to keep in our account to avoid maintenance charges.  

explanation:

note : -   checking account is a transactional deposit account. we can use it to deposit and withdraw funds. money in a checking account is very liquid. it   can be withdrawn using electronic debits, automated cash machines, or checks among other methods.