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I am Lyosha [343]
3 years ago
5

One side of a triangle is half the longest side. The third side is 8 meters less than the longest side. The perimeter is 47 mete

rs. Find all three sides.
Mathematics
1 answer:
Alik [6]3 years ago
8 0
<span>One side of a triangle is half the longest side. The third side is 8 m less than the longest side
Let x,x/2 and (x-8m) represent these sides
</span>

x + x/2 + (x-8m) = 42m
Solving for x
5/2x = 50m
x = 20m, the longest side. The other two are 10m and 12m
Three sides are: 10m,12m and 20m

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What is the solution x+2y=7 and x-2y=-1
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2 years ago
Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be
Travka [436]

Answer:

D = L/k

Step-by-step explanation:

Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is

dA/dt = in flow - out flow

Since litter falls at a constant rate of L  grams per square meter per year, in flow = L

Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow

So,

dA/dt = in flow - out flow

dA/dt = L - Ak

Separating the variables, we have

dA/(L - Ak) = dt

Integrating, we have

∫-kdA/-k(L - Ak) = ∫dt

1/k∫-kdA/(L - Ak) = ∫dt

1/k㏑(L - Ak) = t + C

㏑(L - Ak) = kt + kC

㏑(L - Ak) = kt + C'      (C' = kC)

taking exponents of both sides, we have

L - Ak = e^{kt + C'} \\L - Ak = e^{kt}e^{C'}\\L - Ak = C"e^{kt}      (C" = e^{C'} )\\Ak = L - C"e^{kt}\\A = \frac{L}{k}  - \frac{C"}{k} e^{kt}

When t = 0, A(0) = 0 (since the forest floor is initially clear)

A = \frac{L}{k}  - \frac{C"}{k} e^{kt}\\0 = \frac{L}{k}  - \frac{C"}{k} e^{k0}\\0 = \frac{L}{k}  - \frac{C"}{k} e^{0}\\\frac{L}{k}  = \frac{C"}{k} \\C" = L

A = \frac{L}{k}  - \frac{L}{k} e^{kt}

So, D = R - A =

D = \frac{L}{k} - \frac{L}{k}  - \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{kt}

when t = 0(at initial time), the initial value of D =

D = \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{k0}\\D = \frac{L}{k} e^{0}\\D = \frac{L}{k}

4 0
2 years ago
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Zepler [3.9K]

C. Reflected over the y-axis and translated up 1 unit

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3 years ago
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Which function is represented by the graph?
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Answer:

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Step-by-step explanation:

ok i got your numbers just find the equation for them your first number is -4,-1 try to find equation for those numbers x is -4 and y is -1

x=-4

y=-1

6 0
2 years ago
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