Step-by-step explanation:
first let's get the original line in slope intercept form.
the vegetal slope intercept form is
y = ax + b
a is the slope, b is the y-intercept.
2x + y = 5
y = -2x + 5
there !
a line parallel to this line must have the same slope (-2).
but it will intersect with the y-axis at a different point.
the y-intersect is the y value when x = 0.
the given point (0, 1) is already that y-intersect (because x=0).
so, the desired parallel line function is
y = -2x + 1
if we had a different point of the line, e.g. (4, -7), we would go back to the general equation
y = ax + b
put in the slope we know (-2)
y = -2x + b
and then put in the x and y cakes if the point and calculate b
-7 = -2×4 + b
-7 = -8 + b
b = 1
and then we get again
y = -2x + 1
Answer:
The proof contains a simple direct proof, wrapped inside the unnecessary logical packaging of a proof by contradiction framework.
Step-by-step explanation:
The proof is rigourous and well written, so we discard the second answer.
This is not a fake proof by contradiction: it does not have any logical fallacies (circular arguments) or additional assumptions, like, for example, the "proof" of "All the horses are the same color". It is factually correct, but it can be rewritten as a direct proof.
A meaningful proof by contradiction depends strongly on the assumption that the statement to prove is false. In this argument, we only this assumption once, thus it is innecessary. Other proofs by contradiction, like the proof of "The square root of 2 is irrational" or Euclid's proof of the infinitude of primes, develop a longer argument based on the new assumption, but this proof doesn't.
To rewrite this without the superfluous framework, erase the parts "Suppose that the statement is false" and "The fact that the statement is true contradicts the assumption that the statement is false. Thus, the assumption that the statement was false must have been false. Thus, the statement is true."
Answer:
Clockwise
Step-by-step explanation:
Sorry I answered late
No,
although all the sides are the same length on an equilateral triangle the height is calculated by a straight perpendicular line at the mid point of the base.
The sides are not perpendicular with the base and are angled outwards
X=15degrees
The angle measurements are 30, 30, and 120 so it is an isosceles
