Answer:
change in neither size nor shape
Answer:
-3
Step-by-step explanation:
Simplifying
4(4m + -3) + -1(m + -5) = -52
Reorder the terms:
4(-3 + 4m) + -1(m + -5) = -52
(-3 * 4 + 4m * 4) + -1(m + -5) = -52
(-12 + 16m) + -1(m + -5) = -52
Reorder the terms:
-12 + 16m + -1(-5 + m) = -52
-12 + 16m + (-5 * -1 + m * -1) = -52
-12 + 16m + (5 + -1m) = -52
Reorder the terms:
-12 + 5 + 16m + -1m = -52
Combine like terms: -12 + 5 = -7
-7 + 16m + -1m = -52
Combine like terms: 16m + -1m = 15m
-7 + 15m = -52
Solving
-7 + 15m = -52
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 15m = -52 + 7
Combine like terms: -7 + 7 = 0
0 + 15m = -52 + 7
15m = -52 + 7
Combine like terms: -52 + 7 = -45
15m = -45
Divide each side by '15'.
m = -3
Simplifying
m = -3
Hope this helped :)
Answer:
-2,-6,-18
Step-by-step explanation:
let g1,g2,g3 be three G.M.s between -2/3 and -54
now -2/3,g1,g2,g3,-54 are geometric
n=5
an=a1 r^{n-1}
-54=-2/3 r^{5-1}
r^{4}=-54×-3/2=81=3^4
r=3
g1=a1×r=-2/3×3=-2
g2=a1×r²=-2/3×3²=-6
g3=a1×r³=-2/3×3³=-18
Step-by-step explanation:
curved surface area =
perimeter of triangular base × length
= 3×8 + 12
= 24 + 12
= 36mm^2
total surface area
= curved surface area + 2× area of triangular base
= 36 + 2 × root3 ×8^2 ÷ 4
= 36 + 2 × root3 × 16
= 36 + 2× 27.71
= 36 + 55. 425
= 91.425 mm^2