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Yuliya22 [10]
3 years ago
7

Y=-x+3 y = -2.x +7 = 5.​

Mathematics
1 answer:
lyudmila [28]3 years ago
5 0

Answer:

Slope: 3/5

y-intercept: 7

Step-by-step explanation:

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40 x 0.08875 = 3.55
40 + 3.55 = 43.55
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Step-by-step explanation:

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Ben started riding his bike at 10:05 A.M. He stopped
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Step-by-step explanation:

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3 years ago
An accident at an oil drilling platform is causing a circular oil slick. The slick is 0.07 foot thick, and when the radius of th
ololo11 [35]

Answer:43.54 ft^3/min

Step-by-step explanation:

Given

Thickness of oil slick=0.07 foot

radius of slick=110 ft

\frac{\mathrm{d} r}{\mathrm{d} t}=0.9 ft/s

Let V be the volume of oil slick

so, V=0.07\pi \cdot r^2

rate of oil flowing is

\frac{\mathrm{d} V}{\mathrm{d} t}=0.07\times 2\pi \cdot r\frac{\mathrm{d} r}{\mathrm{d} t}

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3 years ago
Find the work done by the force Bold Upper F equals xy Bold i plus (y minus x )Bold j over the straight line from (negative 1 co
aalyn [17]

Answer:

<h2>4/3 Joules </h2>

Step-by-step explanation:

Work is said to be done when force applied to an object causes the object to move through a distance.

Work done = Force * perpendicular distance.

\int\limits^a_b {F} \, ds

Given Force F = xy i + (y-x) j and a straight line (-1, -2) to (1, 2)

First we need to get the equation of the straight line given.

Given the slope intercept form y = mx+c

m is the slope

c is the intercept

m = y₂-y₁/x₂-x₁

m = 2-(-2)/1-(-1)

m = 4/2

m = 2

To get the slope we will substtutte any f the point and the slope into the formula y = mx+c

Using the point (1,2)

2 = 2+c

c = 0

y = 2x

Substituting y = 2x into the value of the force F = xy i + (y-x) j we will have;

F = x(2x) i + (2x - x) j

Using the coordinate (1, 2) as the value of s

W = \int\limits^a_b ({2x^2 i + x j}) \, (i+2j)\\W = \int\limits^a_b ({2x^{2}+2x }) \, dx \\W = [\frac{2x^{3} }{3} +x^{2} ]\left \ x_2=1} \atop {x_1=-1}} \right.\\W = (2(1)^3/3 + 1^2) -  (2(-1)^3/3 + (-1)^2)\\W =(2/3+1) - (-2/3+1)\\W = 2/3+2/3+1-1\\W = 4/3 Joules

8 0
3 years ago
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