Answer:
Option A is correct
A. Neither
Step-by-step explanation:
Given:
Two points are given (2, 15) and (0, 5)
Let and
The slope of the line
Put all known value in above equation.
So the slope of the line .
The equation of the is
-------------------(1)
Where m is the slope of the line and b is y-intercept of the line.
Take point (0, 5) to compute the value of b.
Put in equation 1.
Take point (2, 15) to compute the value of b.
Put in equation 1.
So the equation of the line is.
Put m and b value in above equation.
------------(2)
add 10 both side in equation 2.
So the equation of line that passes through the point (2,15) and (0,5) is.
or or
Therefore, Neither the following equations represents a line that passes through the points (2,15) and (0,5).
We can bring the ratios to a similar form, because 2:5 is the same as 4:10 (we can mupltiply rations by the same number)
so one ratio is 4:10 and the other is 4:15 and the difference is is 75 beads
in this ratio, we can see each number corresponding to a "unit" of beads: that means that what changed is that Patricia now has 5 more such groups (15-10=5), and since she has 75 beads more each unit must be 75/5=15.
so afterwards (and before) Karen had 4 such units, that is 60, and Patricia before had 10 such units, that is 150.
Answer: I think Value of x is 8 I’m not sure
Answer:
Equality
Step-by-step explanation:
x = 6
7x = 42
7 * 6 = 42
42 = 42
For question number 1:The plot H = H(t) is the parabola and it reaches its maximum in the moment when exactly at midpoint between the roots t = 0 and t = 23. At that moment t = 23/2 or 11.5 seconds.
For question number 2:To find the maximal height, just simply substitute t = 11.5 into the quadratic equation. The answer would be 22.9.
For question number 3:H(t) = 0, or, which is the same as -16t^2 + 368t = 0.Factor the left side to get -16*t*(t - 23) = 0.t = 0, relates to the very start of the process, when the ash started its way up.The other root is t = 23 seconds, and it is precisely the time moment when the bit of ash will go back to the ground.