Answer:
5.104%
Step-by-step explanation:
Given:
The accepted value for the mass density = 4.80 g/cc
Observed values:
5.13 g/cc
4.98 g/cc
5.06 g/cc
5.01 g/cc
Total number of observed values = 4
Mean of the observed values = ( 5.13 + 4.98 + 5.06 + 5.01 ) / 4 = 5.045 g/cc
Now,
The percentage error is calculated as:
%
on substituting the values, we get
%
or
Percentage error = 5.104%
Answer:
F(x) = -3(x + 2)² - 2
Step-by-step explanation:
In the picture attached, the graph is shown.
F(x) has the form a(x - h)² + k, where (h, k) is the vertex of the parabola. We can see in the graph that the vertex is located at (-2, -2), then F(x) = a(x + 2)² - 2. If a > 0 the parabola opens upward, if a < 0 the parabola opens downward. We can see in the graph that the parabola opens downward, then the correct answer is F(x) = -3(x + 2)² - 2
Answer:
Transitive property of equality is not a justification for the proof.
Step-by-step explanation:
We draw a right angle ΔACB. CD is perpendicular to AB.
Let AC = a , BC = b , AB = c and CD = h
Now in ΔABC and ΔACD
∠C = ∠D and ∠A = ∠A
from AA similarity postulate
ΔABC similar to ΔACD.
Hence,
=
= c × x ·····················(1)
Now in ΔABC and ΔCBD
∠C = ∠D and ∠B = ∠B
from AA similarity postulates
ΔABC similar to ΔCBD
Hence,
= c × y······················(2)
Add equation (1) and (2)
+
= cx + cy
+
= c(x+y)
+
=
[because x+y=c]
Transitive property is not useful for this proof.
