Answer:
C
Step-by-step explanation:
Answer:
slope = 1/4
Step-by-step explanation:
If a equation is in form of y = mx + c
them m is the slope of line.
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Let Y(d) be the distance ran by Alexandria on dth day
Y(0) = 2
she adds 1/4 miles each day then
Y(1) = 2 + 1/4
Y(2) = 2 + 1/4 +1/4 = 2 +1/4(2)
Y(3) = 2 + 1/4 +1/4 +1/4= 2 +1/4(3)
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.
.
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similarly
in d days she can run 2 miles + 1/4*d miles
thus, we have
Y(d) = 2 + 1/4(d)
it can be also solved
Thus we see that it is a linear relationship y = 2 + 1/4(d)
which is in the form of y = mx + c
comparing mx to 1/4 d
we have m = 1/4
thus,
slope of this linear relationship is 1/4
Answer:
Step-by-step explanation:
If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant. But maybe you don't know it isn't and it's a "trick" to throw you off. Hmm...
Anyways, the half angle identity for tangent is

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.
If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5. That makes the missing side, by Pythagorean's Theorem, -3. Filling in our formula:
which simplifies a bit to
and a bit more to

Bring up the lower fraction and flip it to divide to get
which of course simplifies to
-3. Choice A.
Answer:
In a coordinate axis, the horizontal line is called the x-axis, and the vertical line is called the y-axis.
1) Then if you have a point (x, y), to graph this you go at the horizontal axis to find the value x,
2) Starting from the point you already found, now you need to move y units in the vertical axis.
Now we want to graph the point (0, 3.5).
First we need to locate the value 0 in the horizontal axis, this is the point where both axes intersect.
Now we move 3.5 units, because the number is positive, we move 3.5 units upwards.
The graph of the point is shown below.