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
Stanley the skunk will save about 15.5 feet.
This problem can be solve with the Pythagorean Theorem. The possible paths that Stanley can take make a right triangle. The legs of the triangle are 25 and 28, and the hypotenuse would be 37.5.
If Stanley went the long way, he would travel 25 + 28 = 53 feet. Taking the short way (hypotenuse) is 53 - 37.5 = 15.5 feet shorter.
The first quadrant ..........
Answer:
They are parallel lines
Step-by-step explanation:
Firsr you have to put both of the equations in slope intercept form which is y=mx+b and line 1 that would be 4y=3x+12 then you divide the slope and the y-intercept by 4 to get ride of the 4 in front of the y and it would equal y=3/4x+3 and for line 2 you do the same and that put into slope intercept form would be 2y=1.5x-14 so you do the same and divide the slope and the y-intercept by 2 which would equal y=0.75x-7 and 3/4 in decimal form would be 0.75. since the slopes are the same the lines would be parallel
Answer:
The answer to your question is h (g(n)) = 3n² - 12n + 1
Step-by-step explanation:
h(n) = 3n + 1
g(n) = n² - 4n
Find (hg)(n)
h(g(n)) = 3( n² - 4n) + 1 substitution
h (g(n)) = 3n² - 12n + 1 expand
