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3 years ago

Which equation represents the line that passes through the point (1,5) with a slope of-2

Mathematics

1 answer:

svlad2 [7]3 years ago

3 0

Answer:

The equation of the line would be y = -2x + 7

Step-by-step explanation:

In order to solve this, use the point and the slope in point-slope form. Then solve for y.

y - y1 = m(x - x1)

y - 5 = -2(x - 1)

y - 5 = -2x + 2

y = -2x + 7

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Use Green's Theorem to evaluate the line integral along the given positively oriented curve.

Vlad [161]

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

$\displaystyle\int_C(3y+7e^{\sqrt x})\,\mathrm dx+(8x+9\cos(y^2))\,\mathrm dy=\int_0^1\int_{x^2}^{\sqrt x}\frac{\partial(8x+9\cos(y^2))}{\partial x}-\frac{\partial(3y+7e^{\sqrt x})}{\partial y}\,\mathrm dy\,\mathrm dx$

$=\displaystyle5\int_0^1\int_{x^2}^{\sqrt x}\mathrm dy\,\mathrm dx=\boxed{\frac53}$

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3 years ago

Write the first five terms of the sequence described by the recursive formula f(1)=2,f(x)=f(x-1)*4

VladimirAG [237]

Answer:

2,8,32,128,512

Step-by-step explanation:

f(x)=f(x-1)*4

f(1)=2

f(2)=f(2-1)*4=f(1)*4=2*4=8

f(3)=f(3-1)*4=f(2)*4=8*4=32

f(4)=f(4-1)*4=f(3)*4=32*4=128

f(5)=f(5-1)*4=f(4)*4=128*4=512

5 0

3 years ago

Calculeaza a-b+c stiind ca a-1538=b+718=2000-c=1074

snow_tiger [21]

A-1538=1074
a=1538+1074
a=2612

b+718=1074
b=1074-718
b=356

2000-c=1074
c=2000-1074
c=926

2612-356+926=3182

8 0

3 years ago

Sarah and her friends laid down two beach blankets. The blankets are the same length but of different widths. The distributive p

Masja [62]

Answer:The width of the orange blanket is 23 inches.

Step-by-step explanation:

The total of both lengths is 75.We know that the green blanket is 52 so 75-52 = 23 which is the width of the orange blanket

7 0

3 years ago

the function of y= x^2 - 4x + 8 approximates the height y, of a bird and its horizontal distance, x as it flies from one fence p

Vika [28.1K]

Rewrite the given equation as
$y=x^2-4x+8=x^2-4x+4+4=(x-2)^2+4$ .
Since $(x-2)^2\ge 0$ , you can conclude that the imimum value of y will be gained for the minimum value of $(x-2)^2$ . The minimum value of $(x-2)^2$ is 0 for x=2.
So, y(2)=0+4=4.
Answer: minimum value of y is 4, when x=2.

7 0

3 years ago

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