Point a(2, 2) and point d(−4, −3) are located on the grid. which measurement is closest to the distance between point a and point d in units? a) 7.5 units b) 7.8 units c) 8.1 units d) 8.4 units

B

Step-by-step explanation:

The distance formula is

Where is the first coordinate (our case, point A(2,2)) &   is the second coordinate (our case, point D(-4,-3))

Plugging these in into the formula gives us:

Answer choice B is closest.

B)7.8 units

Step-by-step explanation:

To find the distance between 2 points

d = sqrt ( (x2-x1)^2 + (y2-y1)^2)

  =sqrt( -4-2)^2 + (-3-2)^2)

  = sqrt((-6)^2+(-5)^2)

  = sqrt(36+26)

  = sqrt(61)

   =7.810249676

answer: the answer is 40.82

step-by-step explanation: 3.14 x 13(or half of 26) to the power of 2

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2