Answer:
y = - 2x + 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (5, 3) and (x₂, y₂ ) = (4, 5)
m = 
= 
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 5), then
5 = - 8 + c ⇒ c = 5 + 8 = 13
y = - 2x + 13 ← equation of line
Answer:
5x maybe dont take my word
Answer:
It is an acute triangle because all the angles are less than 90 degrees.
Answer: 
This is 17 to the 1/2 power
The rule is
![\sqrt[n]{x} = x^{1/n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B1%2Fn%7D)
the n is the index of the root. For square roots, n = 2, so,
![\sqrt[n]{x} = x^{1/n}\\\\\sqrt[2]{17} = 17^{1/2}\\\\\sqrt{17} = 17^{1/2}\\](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%20%3D%20x%5E%7B1%2Fn%7D%5C%5C%5C%5C%5Csqrt%5B2%5D%7B17%7D%20%3D%2017%5E%7B1%2F2%7D%5C%5C%5C%5C%5Csqrt%7B17%7D%20%3D%2017%5E%7B1%2F2%7D%5C%5C)
Answer:
m∠A ≈ 103°
Step-by-step explanation:
Enough information is shown for us to be able to use the Law of Sines to find the angle. That tells us ...
sin(A)/a = sin(C)/c
A = arcsin(a/c·sin(C)) = arcsin(26/6·sin(13°)) = arcsin(0.974788)
A = 77.1° or 102.9°
The claim is that the figure is drawn to scale, so we can assume that A is an obtuse angle:
m∠A ≈ 103°
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<em>Additional comment</em>
The sum of angles A and B must be 180° -13° = 167°. Since angle A is the largest, it must be more than half this value, or more than 83.5°. That means, we must choose the obtuse angle for A, rather than the acute angle.
