Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. A research lab has developed a new chemical to increase the efficiency of electric car batteries. The lab conducts an experiment in which three batches of the same brand of electric cars are chosen. The cars in batch 1 do not receive the new chemical, the cars in batch 2 receive a normal amount of the chemical, and the cars in batch 3 receive an excessive amount of the chemical. The cars then undergo a test run on a fully charged battery, and the mileage of each car is recorded. Match the terms with the correct descriptions in the context of this scenario. Tiles new chemical recorded mileage of each car the vehicles no control group batch 1 batch 2 batch 3 Pairs control group arrowBoth response variable arrowBoth explanatory variable arrowBoth

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

(x) - (y) = (1 + 4i)