Answer:
all work is pictured and shown
Answer:
Sry its long but if your to lazy to look thru it here is the answer= z = {-7, 8}
Step-by-step explanation:
Simplifying
z2 + -1z + -56 = 0
Reorder the terms:
-56 + -1z + z2 = 0
Solving:
-56 + -1z + z2 = 0
Solving for variable 'z'.
Factor a trinomial.
(-7 + -1z)(8 + -1z) = 0
Subproblem 1
Set the factor '(-7 + -1z)' equal to zero and attempt to solve:
Simplifying:
-7 + -1z = 0
Solving:
-7 + -1z = 0
Move all terms containing z to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1z = 0 + 7
Combine like terms: -7 + 7 = 0
0 + -1z = 0 + 7
-1z = 0 + 7
Combine like terms: 0 + 7 = 7
-1z = 7
Divide each side by '-1'.
z = -7
Simplifying:
z = -7
Subproblem 2
Set the factor '(8 + -1z)' equal to zero and attempt to solve:
Simplifying:
8 + -1z = 0
Solving:
8 + -1z = 0
Move all terms containing z to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + -1z = 0 + -8
Combine like terms: 8 + -8 = 0
0 + -1z = 0 + -8
-1z = 0 + -8
Combine like terms: 0 + -8 = -8
-1z = -8
Divide each side by '-1'.
z = 8
Simplifying:
z = 8
Solution
z = {-7, 8}
Answer:
0.5 m³
Step-by-step explanation:
You have a rectangular prism and a cube. Find the volume of each separately. After solving, add the two volumes together to find the total volume.
<em>Cube</em>
The side length is 0.5 m.
V = a³
V = (0.5 m)³
V = 0.125 m³
<em>Rectangular Prism</em>
The height is 0.75 m, the width is 0.5 m, the length is 1 m.
V = lwh
V = (0.75 m)(0.5 m)(1 m)
V = 0.375 m³
0.125 m³ + 0.375 m³ = 0.5 m³
Answer:
3,000
Step-by-step explanation:
Find the number in the thousand place 2 and look one place to the right for the rounding digit 9
. Round up if this number is greater than or equal to 5 and round down if it is less than 5
.
