The value of the expression 11,982^0, is actually 1! Any number to the power of zero is said to just be one.
NOAH BECK WHAT THE HECK NOAH BECK
Answer:
x = −3
Step-by-step explanation:
The equation is
log(2x + 6) + 8 = 3
We combine first subtract 8 on both sides
log(2x + 6) + 8-8 = 3 -8
log(2x + 6) = -5
The log is to base 10
Thus;
10 ⁻⁵ = 2x + 6
0.00001 = 2x + 6
2x = 0.00001 -6
2x = -5.99999
Dividing both sides by 2
x = - 2.999995
<u> ≈ - 3</u>
Answer:
1) x = 40° & y = 50°
2) x = 100° & y = 80°
Step-by-step explanation:
1)
ABCD is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are touching on the circle). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.
⇒ ∠ADC + ∠ABC = 180°
⇒ 130° + y = 180°
⇒ y = 180 - 130 = 50°
In ΔABC ,
∠ACB = 90° (∵ AB is the diameter of the circle and a diameter subtends an angle of 90° on any point on circle.)
Using angle sum property of triangle ,
∠ABC + ∠ACB + ∠CAB = 180°
⇒ y + 90° + x = 180°
⇒ x + 50° + 90° = 180°
⇒ x + 140° = 180°
⇒ x = 180 - 140 = 40°
2)
ΔABC is an isosceles triangle (∵AB = AC). As it is an isosceles triangle , it's base angles will be equal. So , ∠ABC = ∠ACB = 50°
Using angle sum property of triangle ,
∠ABC + ∠ACB + ∠BAC = 180°
⇒ 50° + 50° + y = 180°
⇒ y + 100° = 180°
⇒ y = 180 - 100 = 80°
ABEC is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are on the circle.). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.
⇒ ∠BAC + ∠BEC = 180°
⇒ y + x = 180°
⇒ x + 80° = 180°
⇒ x = 180 - 80 = 100°
Answer:
its 72y
Step-by-step explanation:
12 *6=72
Add the y = 72y
