Answer: B.pi/2
ABCD is a square
=> Δ ABD is a isosceles right triangle at A
using pythago theorem, we have:
AB² + AD² = BD²
=> 2AD² = 4
⇔ AD² = 2
⇒ AD = √2
through O, draw EF parallel to AD and BC
=> EF is diameter
because EF//AD => EF = AD = √2 (because circle O is inscribed the square ABCD)
=> the area of the circle is 
Step-by-step explanation:
J + -2 = -22
Adding a negative number changes the equation to subtract ruin:
J - 2 = -22
Now add 2 to both sides to get the answer:
J = -20
Answer:
infinite solutions
Step-by-step explanation:
Given
- 6(n - 8) = 4(12 - 5n) + 14n ← distribute parenthesis on both sides
- 6n + 48 = 48 - 20n + 14n, that is
- 6n + 48 = 48 - 6n ( add 6n to both sides )
48 = 48 ← True
This indicates that the equation is true for any value of n
Answer:
$8.40 is the amount to be subtracted from the $42.00. If you multiply 20% (.20) by $42.00 you get $8.40. To get your final price subtract $8.40 from $42.00 to get you final answer. I hope that helps.
Step-by-step explanation:
Answer:
y=-2x + 8 which is the required equation
Which is option C
Step-by-step explanation:
Given:
Slope = m = -2
Given points are ( -2,12)
Which is
x = -2 and y =12
TO find:
Equation of line passing through these points = ?
Solution:
The point slope form of a line is
y = mx + c
Here we don't know the value of c
To find it
Putting y = 12 , x= -2 and y = -2 in the given equation
y = mx + c
Putting values it becomes
12 = (-2)*(-2) + c
12 = 4 + c
Subtracting 4 from both sides
12-4 = 4 -4 + c
8 = c
Now we have
m = -2 and c= 8
So equation of a line is given by
y = mx + c
Putting value of m and c
y = -2*x + 8
y=-2x + 8 which is the required equation
