A basketball is thrown upward from a height of 6 feet at an initial speed of 15 feet per second. As the basketball travels, Earth's gravity slows it down. The height of an object dropped from a height of 6 feet is given by h(t)=−16t2+6.

The distance in feet traveled by an object at a constant speed of 15 feet per second is given by d(t)=15t.

These two functions can be combined to build a new function, f, that models the height of the basketball as a function of time in t seconds.

Which choice shows how to combine h and d to build f

f(t)=h(t)+d(t)

f(t)=-16t^2+15t+6

Step-by-step explanation:

I just got this question right

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation:

< 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)