First, you replace x with -3.
It will look like -3/3.
Then you divide and get -1.
Answer:
D) x = 3 , x= 10.
Step-by-step explanation:
Given : x²-13x+30=0
To find : Use the zero product property to find the solutions to the equation.
Solution : We have given
x²-13x+30=0
On factoring
x²-10x -3x +30=0
On taking x common from first two terms and -3 from last two terms .
x ( x - 10 ) - 3( x - 10 ) = 0
On grouping
(x -3) ( x -10) = 0.
By the zero product property
x -3 = 0
x = 3 ,
For x - 10 = 0.
x = 10.
Therefore,D) x = 3 , x= 10.
24=3r/4
multiply 4 on both sides
96=3r
divide 3r and 96 by 3
r=32
<u>Answer:</u>
37th term of given arithmetic sequence
= 2.3; d = -2.3 is -80.5.
<u>Solution:</u>
Given that
Need to determine 37th term, when
= 2.3, d = -2.3
Means first term of arithmetic sequence =
= 2.3 and common difference d = -2.3
<u><em>Formula for nth term of arithmetic sequence is </em></u>
--- equation 1

We need to determine 37th term so n = 37.
On substituting given values in equation (1) we get


Hence 37th term of given arithmetic sequence is -80.5
The angle will be 22 degrees since anything bigger that 90 degrees wont work.