<h2><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u><u>-</u></h2>
Find the coordinates of the point which divides the join of (-1,7) and (4,-3) in the ratio 2:3 ?
<h2><u>Solution</u>:-</h2>
Let the given points be A(-1,7) and B(4,-3)
Now,
Let the point be P(x, y) which divides AB in the ratio 2:3
Here,
<h3>
</h3>
Where,
= 2 , 
= 3
= -1 , 
= 4
Putting values we get,
x = 
x = 
x = 
x = 1
Now,
Finding y
<h3>
</h3>
Where,
= 2 , = 3
= 7 , = -3
Putting values we get,
y = 
y = 
y = 
y = 3
Hence x = 1, y = 3
So, the required point is P(x, y)
= P(1, 3)
<h3>The coordinates of the point is P(1, 3). [Answer]</h3>
_______________________________________
<u>N</u><u>o</u><u>t</u><u>e</u>:- Refer the attachment.
_______________________________________
Answer:
C. 
Step-by-step explanation:
We have been given a triangle. We are asked to find the measure of angle Z using Law of cosines.
Law of cosines: 
, where, a, b and c are sides opposite to angles A, B and C respectively.
Upon substituting our given values in law of cosines, we will get:
Now, we will use inverse cosine or arc-cos to solve for angle Z as:
Therefore, the measure of angle Z is approximately 51 degrees.
Answer:
630 ft^3
Step-by-step explanation:
Answer:
12+(9+20)
(20+9)+12
9+(20+12)
(9+12)+20
Explanation:
The associative property of addition is saying that if three or more numbers are added, the answer won’t change if you add or move parentheses.
So if the question is 1+2+3, the answer will be the same even if you write it as (1+2)+3 or 1+(2+3) or 2+(1+3) and so on.
F(-1) is the inverses of an equation so plug in y for x.
