1^2 + 4^2 + 7^2 + ... + (3n - 2)^2 = n(6n^2-3n-1)/2
1 answer:
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Let's assume
x represent the number of trips that the larger truck makes
so, we are given
If the smaller truck makes 18 more trips than the larger
so,
number of trips for larger truck =x
number of trips for smaller truck =x+18
The capacities of two trucks are 3 tons and 4 tons respectively
so, capacity of smaller truck per trip =3 tons / trip
total ton carried by smaller truck = (number of trips for smaller truck)*(capacity of smaller truck per trip)
now, we can plug values
total ton carried by smaller truck =3*(x+18)
total ton carried by larger truck = (number of trips for larger truck)*(capacity of larger truck per trip)
total ton carried by larger truck =4x
it can deliver 12 more tons of freight than the larger
so, we get
we can move 4x on left side
we get
...............Answer
1.what is the length of the segment joining 3,6 and -2,-6 : 13 units
2.what is the center of the circle (x+6)^2+(y-8)^2=144 => (-6,8)
3.what is the slope of the line 3y+2x-6=0=> -2/3
Step-by-step explanation:
<u>1.what is the length of the segment joining (3,6) and (-2,-6)?</u>
Let
(x1,y1) = (3,6)
(x2,y2) = (-2,-6)
The length of a segment is given by:
<u>2.what is the center of the circle (x+6)^2+(y-8)^2=144</u>
The equation of circle is given by:
Here, h and k are the coordinates of centre of circle
x - h = x+6
-h = 6
h = -6
y - 8 = y - k
-8 = - k
k = 8
So,
The center of circle is: (-6,8)
<u>3.what is the slope of the line 3y+2x-6=0</u>
We have to convert the equation in slope-intercept form to find the slope
Slope-intercept form is:
y = mx+b
Now,
Dividing both sides by 3
In slope-intercept form, the co-efficient of x is the slope of the line so
m = -2/3
Keywords: Coordinate geometry, Slope
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