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Neporo4naja [7]
3 years ago
10

Which equation has the same solution as

Mathematics
1 answer:
uysha [10]3 years ago
6 0

no se sabe

Step-by-step explanation:

knwiowkwkwnwkkwmwnw w w.qosmsls.w

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An island is 1 mi due north of its closest point along a straight shoreline. A visitor is staying at a cabin on the shore that i
Elanso [62]

Answer:

The visitor should run approximately 14.96 mile to minimize the time it takes to reach the island

Step-by-step explanation:

From the question, we have;

The distance of the island from the shoreline = 1 mile

The distance the person is staying from the point on the shoreline = 15 mile

The rate at which the visitor runs = 6 mph

The rate at which the visitor swims = 2.5 mph

Let 'x' represent the distance the person runs, we have;

The distance to swim = \sqrt{(15-x)^2+1^2}

The total time, 't', is given as follows;

t = \dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}

The minimum value of 't' is found by differentiating with an online tool, as follows;

\dfrac{dt}{dx}  = \dfrac{d\left(\dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}\right)}{dx} =  \dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} }

At the maximum/minimum point, we have;

\dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} } = 0

Simplifying, with a graphing calculator, we get;

-4.72·x² + 142·x - 1,070 = 0

From which we also get x ≈ 15.04 and x ≈ 0.64956

x ≈ 15.04 mile

Therefore, given that 15.04 mi is 0.04 mi after the point, the distance he should run = 15 mi - 0.04 mi ≈ 14.96 mi

t = \dfrac{14.96}{6} +\dfrac{\sqrt{(15-14.96)^2+1^2}}{2.5} \approx 2..89

Therefore, the distance to run, x ≈ 14.96 mile

6 0
3 years ago
What’s the slope for RS
Annette [7]

Answer: 4/2

Step-by-step explanation: Rise over run. From point S to R it goes up 4 and over 2.

6 0
3 years ago
if alpha and beta are the zeros of the quadratic polynomial FX = x square - 5 x + 4 find the value of one by alpha + 1 by beta-2
Kryger [21]

Answer:

suggestions use math scanner or mathaway or algebra calculator they will provide the steps and answer

5 0
3 years ago
On average, Gil reads 57 pages in a book each week.<br> How many pages des Gil read in 12 weeks?
Triss [41]

Answer:

684

Step-by-step explanation:

57 times 12

12 weeks times 57 pages= 684 pages in 12 weeks

3 0
3 years ago
A capacitor has plates of area
kumpel [21]

Answer:

6.1*10^-6

Step-by-step explanation:

Acellus

6 0
3 years ago
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