Answer:
(a - b)^2 = 49 - 4b^2 +2ab
Step-by-step explanation:
Given: a^2 + b^2 = 7b (assuming A is really “a”)
b^2 + (2b - a)^2 = 7^2
Find; (a - b)^2
Plan: Use Algebraic Manipulation
Start with b^2 + (2b - a)^2 = 7^2 =>
b^2 + 4b^2 - 4ab + a^2 = 49 by expanding the binomial.
a^2 + b^2 + 4b^2 - 4ab = 49 rearranging terms
a^2 + b^2 -2ab - 2ab + 4b^2 = 49 =>
a^2 - 2ab + b^2 = 49 - 4b^2 +2ab rearranging and subtracting 4b^2 and adding 2ab to both sides of the equation and by factoring a^2 - 2ab + b^2
(a - b)^2 = 49 - 4b^2 +2ab
Double Check: recalculated ✅ ✅
(a - b)^2 = 49 - 4b^2 +2ab
Answer:
I have the same question
Step-by-step explanation:
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Answer:
The radius of the circle is 25m
Step-by-step explanation:
Here, we are to calculate the radius of the circle.
The distance from the circle center, the half the length of the chord and the radius forms a right triangle with the radius being the hypotenuse.
We can then use Pythagoras’s theorem to approximate the value of the radius
Mathematically, the Pythagorean theorem establishes that the square of the hypotenuse = the sum of the squares of the other two sides
r^2 = 7^2 + 24^2
r^2 = 49 + 576
r^2 = 625
r = √(625)
r = 25m
Reflection acrossed the y axis