The Required ratio between the speed of the boat and speed of the water current is 8:3.
<h3>What is ratio?</h3>
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.
Given:
Upstream time= 8 hr 48 = 8 4/5 hour
Downstream time= 4 hour
Let the man's rate upstream be x kmph and that downstream be y kmph.
Then,
distance covered upstream in 8 hrs 48 min = Distance covered downstream in 4 hrs.
x* 8 hr 48 min = y* 4 hours
x* 8 4/5= 4y
y= 11/5 x
Now,
Required ratio
(y+x)/2:(y-x)/2
= (16x/5 * 1/2): ( 6x/5 *1/2)
=8/5:3/5
=8:3
Hence, the required ratio is 8:3.
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The length of side x is a, .6
Answer:
Changing g(x) to this form: a(x-h) + k, we have:
g(x) = 4 (x+3)^2 - 6
Comparing this to the original equation, f(x) = x^2, we have the following transformations:
The graph is widened.
The graph is shifted left 3 units.
Step-by-step explanation:
perimeter=(L+W)2
L=x^2+2x-3
W=2x^2+3x+5
(x^2+2x-3+2x^2+3x+5)2
(x^2+2x^2+2x+3x-3+5)2
(3x^2+5x+2)2
p=(6x^2+10x+4)units