A 7 m rope is attached to the wall of a garage. A dog’s collar is attached to the rope, allowing the dog to safely roam the yard. What is the area that the dog has to roam outside?

Well, if you think about it, its a half circle. We know that if the dog pulls straight then the radius if this were a full circle would be 7. So the Area of a circle is A=Pi Radius Square. For us it will be divided by 2 since its a half circle. So were going to round pi to 3.14 and now..

3.14(49)=153.86. So that is an area of the full circle. DIvided by 2 we get 76.93.

I am pretty sure its correct so your answer is 76.93 m

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f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form