Option A:
The length of BE is 4.
Solution:
Given data:
AE = 6, EC = 12 and DE = 18
To find the length of BE:
<em>If two chords intersect in a circle, then the product of lengths of one segment is equal to the product of lengths of other segment.</em>
⇒ AE × EC = DE × BE
⇒ 6 × 12 = 18 × BE
⇒ 72 = 18 × BE
Divide by 18 on both sides of the equation.
⇒ 4 = BE
Switch the sides.
⇒ BE = 4
The length of BE is 4.
Option A is the correct answer.
Well V= 5•7•5
Therefore V= 175
-6y + 14 + 4y = 32 Combine like terms (-6y and 4y)
-2y + 14 = 32 Subtract 14 from both sides
-2y = 18 Divide both sides by -2
y = -9
Answer:
d
Step-by-step explanation:
Solution by substitution method
y=7x+8
∴y-7x=8
and y=x+20
∴y-x=20
Suppose,
-7x+y=8→(1)
and -x+y=20→(2)
Taking equation (1), we have
-7x+y=8
⇒y=7x+8→(3)
Putting y=7x+8 in equation (2), we get
-x + 7x + 8 = 20
6x = 20-8
6x = 12
x= 12 / 6
x = 2
substitute for x in equation (3)
y = 7(x) + 8
y = 7(2) + 8
y = 22