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aksik [14]
3 years ago
12

What is the slope of the line below?

Mathematics
2 answers:
Vlad1618 [11]3 years ago
5 0

Answer:

3/2

Step-by-step explanation:

do rise over run.

pogonyaev3 years ago
3 0
3/2 rise over run....
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A right triangle has leg lengths of 3 centimeters and 4 centimeters. What is cos e where is the smallest angle of the triangle?
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First, you could assume that the 3rd side (not given) is the hypotenuse of the triangle. In that case the pythagorean theorem would give you 32+42=x2 which simplifies to 9+16=x2, which again simplifies to 25=x2 or x=5, and you would have {3,4,5} as the lengths of the sides of your triangle.

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<em>answer =  \\ triangle \: b \: and \: d \: does \: not \: seems \: to \\ be \: congruent \: to \: each \: other. \:  \\ explanation \\ congruent \: triangles \: are \: those \:  \\ which \: are \: exactly \: same \: copy \\ of \: each \: other.they \: have \: same \: side  \\ lengths \: shape \: size \: and \: angles. \\ triangle \: a \: and \:  e \: seems \: to \: be \: \\ congruent. \: triangle \: c \: and \: f \: seems \:  \\ to \: be \: congruent.triangle \: b \: and \: d \:  \\ doesnot \: match \: with \: any \: other \: triangles. \\ hope \: it \: helps</em>

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F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector pa
DerKrebs [107]

a. Parameterize C by

\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath

with 0\le t\le1.

b/c. The line integral of \vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath over C is

\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt

=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt

=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt

=\displaystyle10\int_0^1\mathrm dt=\boxed{10}

d. Notice that we can write the line integral as

\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)

By Green's theorem, the line integral is equivalent to

\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy

where D is the triangle bounded by C, and this integral is simply twice the area of D. D is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.

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3 years ago
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