(x+3)(x+5) expand and simplify that pls
1 answer:
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The intercepts of the graph are:
x-axis interception: .
y-axis interception: .
See the graph of the function in the attached image.
<h3>Constructing a graph</h3>
For constructing a graph we have the following steps:
- Determine the range of values for x of your graph.
For this exercise, for example, we can define a range -4<x<4. In others words, the values of x will be in this interval.
- Determine the points
Replace these x-values in the given equation. For example:
When x=-4, we will have: . Do this for the all x-values of your ranges.
See the results for this step in the attached table.
- Draw the graph
Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.
The attached image shows the graph for the given function.
<h3>Find the x- and y-intercepts</h3>The intercepts are points that crosses the axes of your plot. From your graph is possible to see:
x-axis interception points (y=f(x)=0) are: .
y-axis interception point (x=0) is: .
Learn more about intercepts of the graph here:
Answer:
The measure of anle MNP is
- m ∠ MNP = (x - y)/2
Explanation:
The image attached shows the figure corresponding to this question.
The <em>angle MNP</em>, wich is also the angle LNP, is formed by the intersection of a secant and a tanget to a circle.
Then, you can use the theorem:
- the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.
The major arc formed is identified with the letter x and the minor arc is identified witht he letter y. Thus, the measure of the angle MNP is half the differenc x - y:
- m ∠ MNP = (x - y)/2
