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4 years ago

Subtract using the number line. −2−(−6) Select the location on the number line to plot the point.

Mathematics

2 answers:

aalyn [17]4 years ago

8 0

Answer:

you would go to the left of zero 2 spaces to -2 then go 6 to the right of -2 to number 4 because -2 -(-6) = 4

Step-by-step explanation:

docker41 [41]4 years ago

6 0

Answer:

you would go to the left of zero 2 spaces to -2 then go 6 to the right of -2 to number 4

Step-by-step explanation:

hope it helped

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Please solve and explain how. Photo attached

geniusboy [140]

Answer:

Step-by-step explanation:

$\frac{2}{k^2-2k}=1-\frac{1}{k^2-2k}$

multiply by $\frac{k^2-2k}{1}$ on each side

$2=k^2-2k-1$

add 1 on both sides $3=k^2-2k$

make it equal 0

$0=k^2-2k-3$

Factor

$(k-3)(k+1)$

answer is 3 and -1

7 0

3 years ago

Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)

viktelen [127]

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}$

The first line segment can be parameterized by $\mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle$ with $0\le t\le1$ . Denote this first segment by $C_1$ . Then

$\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt$
$=108$

The second line segment ( $C_2$ ) can be described by $\mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle$ , again with $0\le t\le1$ . Then

$\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt$
$=-\dfrac{229}3$

Finally,

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3$

5 0

3 years ago

What is the perimeter of a rectangle that has side<br>lengths 12 and 4?

Andre45 [30]

Answer:

Step-by-step explanation:

(12+4) x 2 = 32

4 0

3 years ago

Trapezoid L'M'N'P' was constructed using trapezoid LMNP. On a coordinate plane, 2 trapezoids are shown. Line segments connect ea

gregori [183]

Answer: A,B,C,E