<h2>Answer:
</h2>
The coordinates of the point that makes the division in the given ratio is (0,3)
Step-by-step explanation:
Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2
We simply use the internal division formula
That would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
m = 1 and n = 2
(x1,y1) = (4,9)
(x2,y2) = (-8,-9)
Substituting these values into the formula, we have;
2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)
= (8-8)/3 , (18-9)/3
= (0,3)
Answer:
Step-by-step explanation:
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Hope this helps
Answer:
length: 12m
width: 2m
Step-by-step explanation:
24 = a*w
a = w+10
then:
24 = (w+10)w
24 = w*w + 10*w
24 = w² + 10w
0 = w² + 10 - 24
w = {-10±√((10²)-(4*1*-24))} / (2*1)
w = {-10±√(100+96)} / 2
w = {-10±√196} / 2
w = {-10±14} / 2
only positive numbers:
w = {-10+14}/2
w = 4/2
w = 2m
a = w+10
a = 2 + 10
a = 12m
Check:
24 = 12*2
Alright, we know that we have to spend 499 dollars on a computer as a base cost. Next, we have to buy 49.99 * x dollars worth of games (since games are 49.99 each), adding up to 499+49.99*x
Alright, so plugging 5 in for x, we get 499+49.99*5=744.95
Since one controller is 24.99, the money for buying a y amount of controllers would be 24.99*y., making the expression 499+49.99x+24.99y
Since in part D, there are no games, we plug these in to get
499+49.99*0++24.99*3=573.97 dollars
