Answer:
-4/3
Step-by-step explanation:
Answer: a: -2, b: 0
Step-by-step explanation:
f(2) means that x=2, and we need to solve for y.
On the graph, it has a point of (2, -2) and since it's a function that is the only possible output. Therefore, f(2)=-2.
f(x)=-4 means that y=-4, and we need to solve for x.
On the graph, the point (0,-4) exists, and since the function contains only one output, it must be correct. Therefore, x=0.
The measure of angle A is 144.3 degrees and the angle to cut the molding is 54.3 degrees
<h3>How to solve for angle A?</h3>
Start by solving the acute part of angle A using the following sine function
sin(Ax) = (30 - 4)/32
Evaluate the quotient
sin(Ax) = 0.8125
Take the arc sin of both sides
Ax = 54.3
The measure of angle A is then calculated as:
A = 90 + Ax
This gives
A = 90 + 54.3
Evaluate
A = 144.3
Hence, the measure of angle A is 144.3 degrees
<h3>The angle to cut the molding</h3>
In (a), we have:
Ax = 54.3
This represents the angle where the molding would be cut
Hence, the angle to cut the molding is 54.3 degrees
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The table with greater proportionality is table 3.
<h3>What is constant proportionality?</h3>
The constant of proportionality is the ratio between two directly proportional quantities.
As, the constant proportionality is
k= y/x
For table 1,
k = 1/1 = 2/2 =1
For table 2,
k = 6/1= 12/2 = 2
For table 3,
k = 5/1 = 10/2 = 5
For table 4,
k = 4/1 = 8/2 = 4
Hence, table 3 is with greater proportionality.
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