The midpoint of the line segment from P1 to P2 is (-7, 1). If P1=(-5, 9), what is P2?

Therefore the coordinate of  P₂ is (-3,1)

Step-by-step explanation:

Mid point: The mid-point is a point from where the distance of the end points of a line segment is equal.

The co-ordinate of mid point of (x₁,y₁)  and (x₂,y₂) is

Here x₁= -5  and y₁= 9

And the coordinate of the mid point is (-7,1).

Let the coordinate of P₂ be (x,y)

Therefore the coordinate of midpoint of P₁ and P₂ is

According to the problem,

and          

Therefore the coordinate of  P₂ is (-3,1)

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.