Answer:
FG = 18
Step-by-step explanation:
FD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
=
( cross- multiply )
54x = 24(x + 10)
54x = 24x + 240 ( subtract 24x from both sides )
30x = 240 ( divide both sides by 30 )
x = 8
Then
FG = x + 10 = 8 + 10 = 18
Answer:
420
Step-by-step explanation:
Answer:
Graph number 1
Step-by-step explanation:
According to the equation the y-intercept is 2. The only graph with the y-intercept of (0,2) is the first graph. So, graph number 1 represents the function.
The equation that must be true regarding the function is a. f(–3) = –5
<h3>
How to explain the information?</h3>
The point (–3, –5) is on the graph of a function. Which equation must be true regarding the function?
a. f(–3) = –5
b. f(–3, –5) = –8
c. f(–5) = –3
d. f(–5, –3) = –2
The question is what does the point (-3, -5) correspond to on the graph of the function.
If we have a point on a graph in the Cartesian coordinate system then that point consists of coordinates (x, y). In other words, y=f(x) and x so (x, f(x)) where x is a x-coordinate and y=f(x) is y-coordinate.
Hence if we have a point (-3, -5) the corresponding coordinates are x=-3 and y=f(x)=-5.
Therefore the correct answer is f(-3)=-5.
Learn more about equation on:
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Answer:
<em>True
</em>
Step-by-step explanation:
<em>Rate Of Change Of Functions
</em>
Given a function y=f(x), the rate of change of f can be computed as the slope of the tangent line in a specific point (by using derivatives), or an approximation by computing the slope of a secant line between two points (a,b) (c,d) that belong to the function. The slope can be calculated with the formula

If this value is calculated with any pair of points and it always results in the same, then the function is linear. If they are different, the function is non-linear.
Let's take the first two points from the table (1,1)(2,4)

Now, we use the second and the third point (2,4) (3,9)

This difference in values of the slope is enough to state the function is non-linear
Answer: True