Answer:
point(3.5 , 7.25)
Step-by-step explanation:
Given in the question,
pointA(2,8)
pointB(8,5)
To find,
A point which partition AB into 1:3
x1 = 2
x2 = 8
y1 = 8
y2 = 5
a = 1
b = 3
Formula to use
<h3>x' = x1 + (a/a+b)(x2-x1)</h3><h3>y' = y1 + (a/a+b)(y2-y1)</h3>
Plug in the values
x' = 2 + (1/1+3)(8-2)
= 3.5
y' = 8 + (1/1+3)(5-8)
= 7.25
So, point(3.5 , 7.25) partitions the directed line segment AB into a 1:3 ratio
Answer:
complementary angles sum to 90° 90° - 70° = 20° complementary of 70° is 20°
Triangle area formula= bh/2
Blue triangle:
10*12/2= 60
Orange triangle:
8*10/2= 40
Add the values: 40+60= 100 in^2
Final answer: 100 in^2
This problem could be set up algebraically or you could use trial and error.
a) 9 and 4 (9 + 4 = 13, 9 * 4 = 36 and 36 - 23 = 13)
I won't give you the rest of the answers, but the second and third ones have to add together to equal a negative number and multiply to equal a positive number. I hope this helps some.