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Alex
3 years ago
10

What is the determinant of k=[6 8]

Mathematics
1 answer:
Digiron [165]3 years ago
3 0
It’s 18 for sure it’s pretty simple
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Santos is a lifeguard and spots a drowning child 50 meters along the shore and 60 meters from the shore to the child. Santos run
Amanda [17]

Answer:

Santos should run approximately 36.145 meters along the shore

Step-by-step explanation:

The given parameters are;

The distance along the shore of the child = 50 meters

The distance from the shore of the child = 60 meters

The rate at which Santos can run = 4 m/s

The rate he can swim = 0.9 m/s

Let 'x' represent the distance he runs along the shore

We have;

The time he spends running on the shore, t₁ = x/4

The time he spends swimming, t₂ = (√(60² + (50 - x)²)/0.9

The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9

To find the maximum, we have;

dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

Simplifying using a graphing calculator gives;

\dfrac{x - 2000}{9} = \sqrt{x^2-100\cdot x+6,100}

1519·x² - 151900·x + 3505900 = 0

x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)

x ≈ 63.86 m or x ≈ 36.145 m

We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same

Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child

7 0
2 years ago
What 4c=12<br> 4c/4=12.4
stiks02 [169]

Answer:

c =3

Step-by-step explanation:

4c = 12

Divide each side by 4

4c/4 =12/4

c = 3

5 0
3 years ago
Anyone knows the answer for this question asap
morpeh [17]

Answer:

10.37

Step-by-step explanation:

find the area of the whole rectangle which is 30 then find the area of the circle which is 19.63 then subtract 30-19.63

7 0
3 years ago
Use the distributive property to find a equivalent expression for 6(x+4)
MArishka [77]

Answer:

6x +24

Step-by-step explanation:

you factor out the 6 so 6x and 6*4 is 24

5 0
3 years ago
Solving simultaneous equations by algebraic methods <br> 3a+4x=29<br> 2a-3x=-9
kogti [31]
<span>3a+4x=29 (1st)
2a-3x=-9 (2nd)

multiply (1st) by 3 and (2nd) by 4

</span>9a + 12x = 87 (1st)
8a - 12x = -36 (2nd)
---------------------add
17a = 51
   a = 3

<span>2a-3x=-9
</span><span>2(3)-3x=-9
6 - 3x = -9
-3x = -15
   x = 5

answer
x = 5 and a = 3</span>
4 0
3 years ago
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