Answer
Find out the length of OP .
To prove
As given
In △JKL, JO=44 in.
Now as shown in the diagram.
JP , MK, NL be the median of the △JKL and intresection of the JP , MK, NL be O .
Thus O be the centroid of the △JKL .
The centroid divides each median in a ratio of 2:1 .
Let us assume x be the scalar multiple of the OP and JO .
As given
JO = 44 in
2x = 44
x = 22 in
Thus the length of the OP IS 22 in .
There are 10,254 toy trucks
and 10,254 * 3 = 30,762 toy cars.
In total, there are 10,254+30,762= 41,016 toys
when we divide 41,016 by 35, the quotient is the number of the full boxes, and the remainder is the number of toys left.
41,016=35*1171+31
Answer: 1171 full boxes, 31 toys left for the last box
Answer:
<h2>S.A. = 234 mm²</h2>
Step-by-step explanation:
The formula of a surface area of a rectangular prism:
l - length
w - width
h - height
We have l = 15 mm, w = 3 mm, h = 4 mm. Substitute:
The easiest way is to graph it based upon the slope (m) and y-intercept (b), in the standard slope-intercept form: y = m (x) + b.
The line above intercepts the y-axis at y = -2, which is b. The slope (m) = rise/run = (y2-y1)/(x2-x1 ); so for the point (-4, 2) to (-6, 4) is:
(4-2)/(-6--4) = 2/(-6+4) = 2/-2 = -1.
So one form of the equation would be:
y = -1x - 2
Now the other form of an equation is point-slope: y-k = m (x-h), where the point is at (h, k)
and if we pick -5 for x (bc 5 it listed in 3 of the answers), the y at x=-5 looks like around +3
so we get: y-k = -1 (x--5)...
y-3 = -(x+5)... therefore D) is the correct answer:
