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ELEN [110]
3 years ago
11

Write an equation in point slope form for the line through the given point with the given slope (4,-6); m=3/5

Mathematics
2 answers:
sashaice [31]3 years ago
5 0
Y - y₁ = m(x - x₁)
y - (-6) = 3/5(x - 4)
y + 6 = 3/5(x) - 3/5(4)
y + 6 = 3/5x - 2 2/5
<u>     -6              -6      </u>
      y = 3/5x - 8 2/5
77julia77 [94]3 years ago
4 0
The\ point-slope\ form:y-y_1=m(x-x_1)\\---------------------\\m=\frac{3}{5}\\\\(4;-6)\to x_1=4\ and\ y_1=-6\\\\subtitute:\\\\y-(-6)=\frac{3}{5}(x-4)\\\\\boxed{y+6=\frac{3}{5}(x-4)}
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sveta [45]

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Step-by-step explanation:

Its less than 90 because its and acute, meaning its smaller, so you can already knock off C.

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vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

F =450N

x_1 = 30cm

x_2 = 60cm

Required

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First, we calculate the spring constant (k)

F = kx_1

450N = k *30cm

k = \frac{450N}{30cm}

k =15N/cm

So:

F = kx_1

F(x) = 15x

The work done using Hooke's law is:

W =\int\limits^a_b {F(x)} \, dx

This gives:

W =\int\limits^{60}_{30} {15x} \, dx

Rewrite as:

W =15\int\limits^{60}_{30} {x} \, dx

Integrate

W =15 \frac{x^2}{2}|\limits^{60}_{30}

This gives:

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W =15 *\frac{2700}{2}

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3 years ago
70=(4x+36)/2 figure this out please
adell [148]

Answer:

\boxed{\bold{\huge{\boxed{x = 26}}}}

Step-by-step explanation:

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<u>Multiplying both sides by 2</u>

70 * 2 = 4x+36

140 = 4x+36

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3 years ago
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Ivahew [28]

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so the final price of the watch is 280$

hope this helps

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