Answer:
point is (13/4 , 17/2)
Step-by-step explanation:
Let (x1,y1) and (x2,y2) be the end points of a line segment, 'A' is the point on the line segment such that A divides the line segment in the ratio p : q then the coordinates of A (x,y) is given by,
x = x1 + p/w(x2 - x1) and y= y1 + p/w(y2 - y1) where w = p+q
It is given that,
Point A is located at (4, 8) and point B is located at (14, 10) .
Let P be the point on AB such that P divides AB in the ratio 1:3
<u>Find the coordinates of P(x,y)</u>
w = 1+3 = 4
x = x1 + p/w(x2 - x1) = 4 + 1/4(14 -4) = 4 + 10/4 =13/4
y= y1 + p/w(y2 - y1) = 8 + 1/4(10 - 8) = 8 + 1/2 = 17/2
point is (13/4 , 17/2)
Answer:
1.14017438
Step-by-step explanation:
Answer:
<u>The two numbers are 25 and 15.</u>
Step-by-step explanation:
Let's find out the two numbers, this way:
x = first number
y = second number
This is the equations system:
x + y = 40
x - y = 10
Solving for x in the first equation:
x + y = 40
x = 40 - y
Solving for y in the second equation:
40 - y - y = 10
40 - 2y = 10
-2y = 10 - 40
-2y = - 30
<u>y = -30/-2 = 15</u>
Solving for x:
x + y = 40
x + 15 = 40
x = 40 - 15
<u>x = 25</u>
<u>The two numbers are 25 and 15.</u>
The answer is the second one
Answer:
57°
Step-by-step explanation:
According to theorem, "any two angles in the same segment of the circle are equal"
So,
m<BED = 57°
