Answer:
Find the roots of x^2-13x+30=0 by solving for x
x= 10,3
Step-by-step explanation:
Answer:
(y1-y2)/(x1-x2)
Step-by-step explanation:
if you have two points from the graph then you can use them to find the slope, for example:
(2,3) and (0,5)
you would take the first point and put it in a fraction (and the second point) but the x goes on the bottom and the y goes on the top:
3/2 and 5/0
Next you put them together minusing one of the equations, but make sure that the two coordinates line up (it doesn't matter which one, in the order):
3-5/2-0
Then you solve:
-2/2
-1
which means that -1 is the slope for this
(the "/" is a fraction bar, in case you didn't already know that)
Answer:
12 inches
Step-by-step explanation:
The formula for a trapezoid is
A = 1/2(a +b)h
The formula to find the height =
h = 2A/a + b
A= 216 in²
a =14 in
b = 22 in
Hence,
h = 2 × 216/14 + 22
h = 12 inches
The height of the trapezoid = 12 inches
Answer:
Donald needs 3 days to earn 3420 dollars
Step-by-step explanation:
Donald sells 760 marbles everyday. He sells each marble for 1.5 dollars
amount collected in one day= 
In one day the amount earned is 1140 dollars
we need to find the number of days needs to earn 3420 dollars
Number of days needed is 
So its around 3 days
Donald needs 3 days to earn 3420 dollars
The velocity or speed of the kayaker going north at a speed of 3 m/s and that of the current going east at a speed of 2 m/s create a resultant speed of √13 m/s. The new distance that has to be traveled by the kayaker in order to move 100 m north is calculated through the equation,
3 / √13 = 100 / x
The value of x is 120 m. The total time it will take for the kayaker to reach the destination is,
t = 120 / √13 = 33.33 s