Answer:
r = 16 units
Step-by-step explanation:
From the figure attached,
AB is the tangent drawn from a point A to the circle C.
BC = r [Radius of the circle]
Length of AC = (18 + r)
AB = 30
By the property of a tangent drawn to a circle,
"Radius of a circle and tangent are perpendicular to each other"
AB ⊥ BC
By applying Pythagoras theorem in ΔABC,
AB² + BC² = AC²
(30)² + r² = (r + 18)²
900 + r² = r² + 36r + 324
36r = 900 - 324
r = 
r = 16 units
Answer:
no solutions
Step-by-step explanation:
5 -2 sqrt(x) = 11
Subtract 5 from each side
5- 5 -2 sqrt(x) = 11-5
-2 sqrt (x) = 6
Divide each side by -2
-2/-2 sqrt(x) = 6/-2
sqrt(x) = -3
The sqrt(x) must be 0 or positive
no solutions
Answer:
x = -5
Explanation:
4(2x + 10) = 0
[ Simplify both sides of the equation ]
4(2x + 10) = 0
(4)(2x) + (4)(10) = 0 [Distribute]
8x + 40 = 0
[ Subtract 40 from both sides ]
8x + 40 − 40 = 0 − 40
8x = −40
[ Divide both sides by 8 ]
8x / 8 = −40 / 8
x = -5
It is a reflection across the y axis, then a translation to the right 2 units.
I hope this helps! If you have more you want help with I can help.
Answer:
84.32
therefore the answer is A