Step 1 he had to multiply the $22.75 times 3 weeks it should have been
($22.75 x 3) + $32.75 - $14.25
$68.25 + 32.75 - $14.25
$86.75
We have been given three statements. From those statements, we have to pick the statement that can conclude that that two lines are parallel.
Statement 1:
If right angles are formed, then lines are parallel.
This is not valid because if the angle formed is right angle then lines forming right angle will be perpendicular.
Statement 2:
If two lines are perpendicular to another line, then they are parallel.
This is valid because the line on which other two lines are perpendicular will work as transversal and the alternet interior angles will be equal. Hence the two perpendicular lines on given line will be parallel to each other.
Statement 3:
If alternate interior angles are equal, then lines are parallel.
This is valid as explained above.
Hence final answer are statement 2 and statement 3 both.
Answer:
-1.92 cm³
Step-by-step explanation:
The formula for the volume of a cube in terms of side length is ...
V = s³
Then the first-order approximation of volume for a small change ∆s in side length is ...
V(s +∆s) ≈ V(s) + V'(s)·∆s
and the change in volume is ...
∆V ≈ V(s +∆s) -V(s) = V'(s)·∆s
The derivative V'(s) is ...
V'(s) = 3s²
so the change in volume for s = 8 cm and ∆s = -0.01 cm is ...
∆V ≈ 3s²·∆s = 3(8 cm)²(-0.01 cm) = -1.92 cm³
For
, we have
So for
to be continuous at
, we require that the limit as
is equal to 4.
