3 years ago

Can you help me on problem 1 of Three-Dimensional Figures

Mathematics

1 answer:

svlad2 [7]3 years ago

4 0

The answer is D) isosceles and equilateral triangle

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3 years ago

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Please help me simplify 9x-3(2+4x)=

denis23 [38]

solution

1) Expand
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2) Gather like terms
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Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)

Dima020 [189]

Split $C$ into two component segments, $C_1$ and $C_2$ , parameterized by

$\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)$

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respectively, with $0\le t\le1$ , where $\mathbf r_i(t)=(x(t),y(t))$ .

We have

$\mathrm d\mathbf r_1=(6,1)\,\mathrm dt$

$\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt$

where $\mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt$

so the line integral becomes

$\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)$

$=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt$

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3 years ago

Kedwin has $150 and wants to buy a new pair of headphones that cost $175 + 10% shipping he decides wait until the headphones guy

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Answer:

23%

Step-by-step explanation:

175 x 0.23 = 40.25

175-40.25 = 134.75

134.75 x 10% shipping = 13.48

134.75+13.48=148.23

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3 years ago