A square has 4 right angels and 4 sides with equal angels ;)
Answer:
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem,
a
2
+
b
2
=
c
2
, is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse. The relationship of sides
|
x
2
−
x
1
|
and
|
y
2
−
y
1
|
to side d is the same as that of sides a and b to side c. We use the absolute value symbol to indicate that the length is a positive number because the absolute value of any number is positive. (For example,
|
−
3
|
=
3
. ) The symbols
|
x
2
−
x
1
|
and
|
y
2
−
y
1
|
indicate that the lengths of the sides of the triangle are positive. To find the length c, take the square root of both sides of the Pythagorean Theorem.
c
2
=
a
2
+
b
2
→
c
=
√
a
2
+
b
2
It follows that the distance formula is given as
d
2
=
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
→
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
We do not have to use the absolute value symbols in this definition because any number squared is positive.
A GENERAL NOTE: THE DISTANCE FORMULA
Given endpoints
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
, the distance between two points is given by
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Step-by-step explanation:
Answer:The line that is congruent to angle 4 is angle 1
hope this helped :)
Answer:
s=8
Step-by-step explanation:
lmk if you want an in depth explanation
So here is the answer to the given equation above.
To find the answer, we can just factor this one.
<span>(2sinθ+1)(sinθ−1)=0</span><span>sinθ = <span><span>−1/</span>2</span>→θ = <span>{<span><span><span>−π/</span>6 </span>+ 2kπ, <span><span>7π/</span>6 </span>+ 2kπ</span>}</span></span><span><span>sinθ=1→θ=<span>{<span><span>π/2 </span>+ 2kπ</span>}
Hope this answers your question. Let me know if you need more help next time. Have a great day!</span></span></span>
