In which quadrant or axis will the poit lie if...
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The sides of a square have the same lengths, so the diagonal and two sides form a 45-45-90 right triangle. In a 45-45-90 triangle, the hypotenuse has a length with is 
longer than the legs.
Therefore, the sides of the square would be
.
Rationalize the fraction be multiplying the numerator and denominator by root 2.
The 14 and 2 will reduce to 7, and the answer is A.
Therefore, the sides of the square would be
Rationalize the fraction be multiplying the numerator and denominator by root 2.
The 14 and 2 will reduce to 7, and the answer is A.
Answer:
see explanation
Step-by-step explanation:
The 2 angles form a right angle, thus their sum is 90°, hence
4x + 7 + 35 = 90
4x + 42 = 90 ( subtract 42 from both sides )
4x = 48 ( divide both sides by 4 )
x = 12
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To calculate the slope m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 4) ← 2 points on the line
m = =
= 4