The longest straight line that can be drawn between any two points of a square is the one that includes the points on the opposite corners of the squares. To determine the length of this straight line, we must first determine the length of the square's side. Since the area of the square can be calculated by taking the square of the side, then
s^2 = 72
s = 6 sqrt(2)
Then, using the Pythagorean theorem, we will find c (the longest side of straight line of the square)
c^2 = a^2 + b^2
Upon substitution of the length of the square's side, we have
c^2 = (6 sqrt(2))^2 + (6 sqrt(2))^2
c^2 = 72+72
c = 72
The length of the longest line is 72.
Answer:
The correct answer is x = -8.
Step-by-step explanation:
To solve this equation, we want to get the variable x alone on the left side of the equation. To do this, we should first add 2 to both sides of the equation.
x/8 - 2 = -3
x/8 -2 + 2 = -3 + 2
x/8 = - 1
Next, we should multiply both sides of the equation by 8 to isolate the variable x.
x = -8
Therefore, the correct answer is x = -8.
If we want to check our answer, we can plug -8 back into the original equation.
-8/8 - 2 = -3
-1 -2 = -3
-3 = -3
Since the two sides match, we know that we got the correct answer.
Hope this helps!
Answer:
169
Step-by-step explanation:
Add: 9 + 4 = 13
Exponentiation: the result of step No. 1 ^ 2 = 13 ^ 2 = 169
Divide: 15 / 3 = 5
Subtract: 5 - the result of step No. 3 = 5 - 5 = 0
Add: the result of step No. 2 + the result of step No. 4 = 169 + 0 = 169
Answer: B
y=(x+2)^2
Step-by-step explanation:
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