Answer:
(4, 1)
Step-by-step explanation:
Since the first reflection is over the vertical line x=-3, the y-coordinate remains the same. The x-coordinate of A' will make the point (-3, 4) on the line of reflection be the midpoint between A and A':
(-3, 4) = (A +A')/2
2(-3, 4) -A = A' = (-6-(-7), 8 -4) = (1, 4)
The reflection over the line y=x simply interchanges the two coordinate values:
A'' = (4, 1)
Answer:
36
Step-by-step explanation:
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.
Answer:
17148.59 in^3
Step-by-step explanation:
This volume is calculated as follows: V = (4/3)(3.14)(16 in)^3 = 17148.95 in^3
The volume of the cone is
one-third of the volume of the cylinder which is equal to the product of area
of the base and the height. The equation is,
<span> V = (1/3)(pi)(r^2)h </span>
Dividing both sides of the
equation by (1/3)(pi)(h) will give us,
<span> 3V/(pi)(h) = r^2</span>
Taking the square-root of
both sides,
<span> r = sqrt(3V/(pi)(h))</span>
