The points (-3,-1) and (-3,5) are adjacent vertices of a rectangle. Two of the sides of the rectangle have a length of 8 units.
1 answer:
Answer:
The answer to your question is 10 units
Step-by-step explanation:
Data
A (-3, -1)
B (-3 , 5)
length of a side = 8 units
Process
1.- Calculate the distance between A and B
dAB =
x1 = -3 y1 = -1
x2 = -3 y2 = 5
-Substitution
dAB =
dAB =
dAB =
dAB = 6 u
2.- Calculate the diagonal using the Pythagorean theorem.
c² = a² + b²
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = 10 units
- Conclusion
The diagonal of the rectangle measures 10 units
You might be interested in
Answer:
Among the four choices, is the only one that is not a linear factor of this polynomial function.
Step-by-step explanation:
Let denote some constant. A linear factor of the form
is a factor of a polynomial
if and only if
(that is: replacing all
in the polynomial
with the constant
would give this polynomial a value of
.)
For example, in the second linear factor , the value of the constant is
. Verify that the value of
is indeed
. (In other words, replacing all
in the polynomial
with the constant
should give this polynomial a value of
.)
.
Hence, is indeed a linear factor of polynomial
.
Similarly, it could be verified that and
are also linear factors of this polynomial function.
Rewrite the first linear factor in the form
for some constant
:
, where
.
Calculate the value of .
.
implies that
(which is equivalent to
) isn't a linear factor of this polynomial function.