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strojnjashka [21]
3 years ago
10

What is the equation of the line that has a slope of -6 and passes through the point (-1,3)

Mathematics
1 answer:
tangare [24]3 years ago
8 0

Answer:

-2,9

Step-by-step explanation:

Dont want to explain too long

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Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. x = 5 sin2 t, y = 5 cos2 t
rodikova [14]
\begin{cases}x(t)=5\sin2t\\y(t)=5\cos2t\end{cases}\implies\begin{cases}\frac{\mathrm dx}{\mathrm dt}=10\cos2t\\\frac{\mathrm dy}{\mathrm dt}=-10\sin2t\end{cases}

The distance traveled by the particle is given by the definite integral

\displaystyle\int_C\mathrm dS=\int_0^{3\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt

where C is the path of the particle. The distance is then

\displaystyle\int_0^{3\pi}\sqrt{100\cos^22t+100\sin^22t}\,\mathrm dt=10\int_0^{3\pi}\mathrm dt=30\pi
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Answer:

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Step-by-step explanation:

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Carina spent a total of $5.27 buying a pineapple for $3.40 and several pounds of tomatoes that were on sale for $0.85 per pound.
gulaghasi [49]
Okay so I'm going to set up a equation:

5.27= 3.40+ 0.85x, we have our total our price of one pineapple and our variable

next I isolate the variable:

5.27-3.40=0.85x

next:

1.87=0.85x

x= 2.2

she bought 2.2 pounds of tomatoes
7 0
3 years ago
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Can someone help me with the questions in the picture?
OverLord2011 [107]

Answer:

y = 8

Step-by-step explanation:

Equation of the line that passes through (-2, 8) with a slope of 0, can be written in point-slope form, y - y_1 = m(x - x_1) and also in slope-intercept form, y = mx + b.

Using a point, (-2, 8) and the slope (m), 0, substitute x1 = -2, y1 = 8 and m = 0 in y - y_1 = m(x - x_1).

Thus:

y - 8 = 0(x - (-2))

y - 8 = 0

Rewrite in slope-intercept form

y - 8 + 8 = 0 + 8 (addition property of equality)

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3 years ago
Tell whether the figure is a polygon. If it is a polygon, name it by the number of its sides.
never [62]

it is a polygon and it would be a decagon since there are 10 sides

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2 years ago
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