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:
36°
Step-by-step explanation:
< EAB = 180 - (360/5) = 180-72=108°
so, < AEB = (180-108)/2 = 72/2 = 36°
According to research, the public views children and teens with mental health disorders as over 1,300 U.S. adults believe children with depression are prone to violence
Answer: Option B
<u>Explanation:</u>
Most Americans trust that the people count has increased with mental health disorders in the last 20 years (69 %) and that is a major health issue in the US (89 %) according to the results of survey. They believe that mental health disorders are caused by physical disorders (like brain’s chemical imbalance or due to environmental criteria (daily stress or alcoholism / abuse of drugs).
Over nine out of ten respondents cited those factors as typical causes for mental health disorders. When asked about the most common causes of this, nearly 27 % reported chemical brain imbalances and stress in their daily lives, and 20 % reported alcohol or drug abuse.
6,9,8 hope you have a great day :D
Million, Billion, Trillion, and Quadrillion
