Answer:
the graph is in the attachment.
the coordinates of the centroid : (2/3,2/3)
Step-by-step explanation:
- y=0 represents x-axis ( you can easily mark it on the graph)
- now draw x=1 line.( It is a line parallel to y axis and passing through the point (1,0) )
- y=2x is a line which passes through origin and has a slope "2"
by using these sketch the region.
I have uploaded the region bounded in the attachment. You may refer it. The region shaded with grey is the required region.
it can be easily identified that the formed region is a triangle
- the coordinates of three vertices of the triangle are
(1,2) , (0,0) , (1,0)
( See the graph. the three intersection points of the lines are the three vertices of the triangle)
- for general FORMULA, let the coordinates of three vertices of a triangle PQR be P(a,b) , Q(c,d) , R(e,f)
- then the coordinates of the centroid( let say , G) of the triangle is given by
G = 
- therefore , the exact coordinates of the centroid =
this point is marked as G in the graph uploaded.
Answer:
x = 35
Step-by-step explanation:
5(x + 20) = 7x + 30
Distribute the 5 on the left side by multiplying 5 by the two terms, x and 20.
5x + 100 = 7x + 30
Subtract 7x from both sides.
-2x + 100 = 30
Subtract 100 from both sides.
-2x = -70
Divide both sides by -2.
x = 35
That number is impossible to round... It is probably already been rounded to the Highest form.
400,000 has not other numbers to round up or down (Unless you say 4 but then it would stay as it is)
The answer to this question should be -2x
Answer:
6 23/24
Step-by-step explanation:
First, find the least common factor of 8 and 12, the denominators.
8 16 24
12 24
24, is now the current denominnator,
8x 3 = 24
Now you go do it to the numerator, 3 x 3 = 9
9/24 + ?
Now, 12 x 2 = 24, do it to the numerator, 7 x 2 = 14
4 9/24 + 2 14/24
Now add the front numbers to make 6, than add the numerators and keep the denominator.
6 23/24, since you can not simplify this fraction, this is the answer.