Here are six cards arrange the card into three pairs with the same total -4 -2 -1 5 6 8

(-4,8),(-2,6),(-1,5)

Step-by-step explanation:

There are six cards numbered -4,-2,-1,5,6,8

The cards need to be arranged into 3 pairs such that the sum of each pair is the same.

Note that the numbers are arranged in ascending order and include equal number of positive and negative integers. For the required property to be satisfied, largest positive card needs to be paired with largest negative card ; smallest positive card needs to be paired with smallest negative card and the middle positive card needs to be paired with middle negative card.

So the pairing will be as follows:

(-4,8),(-2,6),(-1,5)

Note that the sum of each of these pairs is 4.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system