Answer:
The 96th term of the arithmetic sequence is -1234.
Step-by-step explanation:
first term (a)=1
second term (t2)=-12
common difference (d)= t2-a
d=-12-1
d=-13
96th term (t96)=?
We know that,
t96=a+(n-1)d
t96=1+(96-1)(-13)
t96=1+95(-13)
t96=1-1235
t96=-1234
Step-by-step explanation:
So you add one over the other
3x-2y=7
-3x+5y=5
=
3y=12
Then you divide 3 from both sides
(3y)/3=12/3
y=4
Then you substitute the y=4 in to the equation of your choice
3x-2(4)=7
3x-8=7
3x-8=7
+8 +8
3x=15
x=5
Given:
The base of 40-foot ladder is 8 feet from the wall.
To find:
How high is the ladder on the wall (round to the nearest foot).
Solution:
Ladder makes a right angle triangle with wall and ground.
We have,
Length of ladder (hypotenuse)= 40 foot
Base = 8 foot
We need to find the perpendicular to get the height of the ladder on the wall.
Let h be the height of the ladder on the wall.
According to the Pythagoras theorem,





Taking square root on both sides.


Height cannot be negative. Round to the nearest foot.

Therefore, the height of the ladder on the wall is 39 foot.
Answer:
Points are Labeled with capital Letters, such aa P.