First off, let's keep in mind that perpendicular lines have negative reciprocal slopes, hmmm so what's the slope of y = 2x + 5?
well, notice, that equation is in slope-intercept form, thus
.
so, we're really looking for the equation of a line whose slope is -1/2 and runs through 1,4.
Answer:
(d) The functions are not inverses because for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function.
Step-by-step explanation:
If functions are represented by a table of ordered pairs, their inverse function is the set of ordered pairs with the x- and y-values swapped.
Here, for (x, y) = (0.75, 1038.18), the pair from the other table that begins to correspond is (y, x) = (0.75, 1057.81). These reversed pairs are not the same, so the functions are not inverses of each other.
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<em>Comment on the tables</em>
Table A is for a 5-year investment; table B is for a 7.5 year investment. They cannot be inverses of each other.
71/100 because 71 cant be divided by anything
True. To solve for y you have to subtract 2 from both sides of the equation.
To Euclid, a postulate is something that is so obvious it may be accepted without proof.
A. A straightedge and compass can be used to create any figure.
That's not Euclid, that's just goofy.
B. A straight line segment can be drawn between any two points.
That's Euclid's first postulate.
C. Any straight line segment can be extended indefinitely.
That's Euclid's second postulate.
D. The angles of a triangle always add up to 180.
That's true, but a theorem not a postulate. Euclid and the Greeks didn't really use degree angle measurements like we do. They didn't really trust them, I think justifiably. Euclid called 180 degrees "two right angles."
Answer: B C
