Answer:
FIRST ONE
Step-by-step explanation:
HDHDEHDBDBRBDB
1/(4p) (x−h)^2+k = 0 ... step 1 multiply by 4p
<span>(x−h)^2 + 4pk = 0 (assuming p is positive) </span>
<span>(x−h)^2 = -4pk </span>
<span>x - h = +/- sq rt (-4pk) </span>
<span>case 1 ... k is pos. then -4pk is neg ... sq rt gives 2 complex roots </span>
<span>case 2 ... k is neg. then -4pk is positive ... sq rt gives 2 real roots </span>
<span>case 3 ... k = 0 then -4pk = 0 ... sq rt = 0 ... 1 real root .. x = h </span>
<span>Actually, since p can be neg. the directions should say --- 3 values of (-4pk) verifies the number of zeros of the polynomial.</span>
Answer:
That is the sort of question an 8-year-old might be asked to solve because it is so simple. time= 3 1/3 hrs to travel 100km, 1/3 of an hour is 20 minutes.
Answer:
a. (0,5) and (4,0)
b. -5/4
c. y = -5/4x + 5
Step-by-step explanation:
The intercepts are where the line crosses the axis. It crosses at (0,5) and (4,0).
The slope of the line is how much it rises over how much it runs. It rises -5/4 from each intercept to the other.
The linear equation should be written as y = mx+b where b = 5 and the slope -5/4.
So the equation is y = -5/4x + 5.
Check the picture below.
the idea being that sides of 2.5 andd 8 are fixed, what's are the possible lengths of "x"?
well, if we open the fixed sides, we'll end up with a 3rd side of 2.5 + 8 = 10.5, however if "x" is ever 10.5, the figure will become a flat-line and we'd be losing the triangle.
and if we close the fixed sizes, the longest "x" could be is 8 - 2.5 = 5.5, but the same, it can't be 5.5 exactly otherwise the figure will turn to a flat-line.
5.5 < x < 10.5.