Answer:

Step-by-step explanation:
Recall that a horizontal translation (shift) in 3 units to the right involves directly subtracting 3 from the variable x (horizontal axis variable) , and that moving the function up 5 units involves adding to the whole function 5 units. That is:

Answer:
64 × pi m²
Step-by-step explanation:
the formulas needed for the surface area of a cone are :
base area plus the "mantle", the lateral "wall" around it.
the base area is a circle.
so, that formula is Ac = pi×r²
the "wall" formula is Aw = pi×r×s
r = radius
s = slant height = 12
the formula for the surface area of a sphere is
As = 4×pi×r²
we know now, that both surface areas are the same, and also the radius is the same for both objects.
Ac + Aw = As
pi×r² + 12×pi×r = 4×pi×r²
=>
12×pi×r = 3×pi×r²
12×pi = 3×pi×r
12 = 3×r
r = 4 m
now, we only need to use this value of r in our formulas for surface areas, like for the sphere :
4×pi×r² = 4×pi×4² = 4³×pi = 64×pi
Answer:
no
Step-by-step explanation:
linear functions have straight lines
so this is not a linear function
Answer:
<h2> <em><u>x = 2.82 (approx.)</u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>, </u></em>
- 356 = -77 - 99x
=> -77 - 99x = -356
=> -99x = -356 + 77
=> -99x = -279

=> x = 2.8181....
=> <em><u>x = 2.82 (approx.) (Ans)</u></em>