Answer:
a) Function:Yes
b) Domain: 
c) Range: 
Step-by-step explanation:
The given graph passes vertical line test hence it is a function
The given function has x-intercepts at 
We can therefore write this function in factored form as 
There is a y-intercept at (0,-2)
The required function is
b) The domain refers to all values of x for which this function is defined.
The domain from the graph is because there are holes at the end of the graph.
c) The range is the value of y for which x is defined or the graph exists.
From the graph the range is
The nurse is using Deductive reasoning.
Deductive reasoning is a valid form of proof. Here, a person makes conclusions based on previously known facts. It is process of reasoning from one or more statements to reach a logically certain conclusion. If all the parameters are true and the terms are clear then the conclusion reached is necessarily true.
The slope of the line is the gradient, which you can find through rise over run
m (gradient) = (y1 - y2) / (x1 - x2)
where (x1, y1) is the coordinate of the first point, and (x2, x2) is the coordinate of the second point
in your question:
x1 = -4
x2 = 19
y1 = -13
y2 = 11
m = (-13 -11) / (-4 -19) = -24 / -23 = 24/23 or 1.04 (2d.p.)
hope that helps :)
Answer:
The correct option is;
DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC)
Step-by-step explanation:
Given that we have;
1) The side AD of the angle m∠ADE corresponds to the side AB of the angle m∠ABC
2) The side DE of the angle m∠ADE corresponds to the side BC of the angle m∠ABC
3) The side AE of the angle m∠ADE corresponds to the side AC of the angle m∠ABC
Then when we have DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC), we have by sin rule;
AE/(sin(m∠ADE)) = 2·(AC)/(sin(m∠ABC)) = AE/(sin(m∠ABC))
∴ (sin(m∠ADE)) = (sin(m∠ABC))
m∠ADE) = m∠ABC).
