Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4−x and y = 2x + 3 intersect are the s
olutions of the equation 4−x = 2x + 3. (4 points) Part B: Make tables to find the solution to 4−x = 2x + 3. Take the integer values of x between −3 and 3. (4 points) Part C: How can you solve the equation 4−x = 2x + 3 graphically? (2 points)
1 answer:
Try this explanation:
A: The property of intersection point is: on the graphs it belongs to the first line and to the second line, in another word, it belongs to the <u>both</u> lines. 'To the both lines; means, for the both equations, this value of 'x' converts the left side and the right side to the same value (one value 'x' ⇒ one value on the left part and the same value on the right part of the equation 4-x=2x+3).
B: see the attachment, based on 4 steps.
C: see the attached graph. The intersection point is marked with green colour.
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The poverty level cutoff in 1987 to the nearest dollar was $10787.
<h3>How to find a midpoint?</h3>The midpoint as the point that divides the line segment exactly in half having two equal segments. Therefore, the midpoint presents the same distance between the endpoints for the line segment. The midpoint formula is: .
For solving this exercise, first you need plot the points in a chart. See the image.
Your question asks to approximate the poverty level cutoff in 1987 to the nearest dollar using the midpoint formula. Note that the year 1987 is between 1980 and 1990, thus you should apply the midpoint formula from data for this year (1987).
The answer for your question will be the value that you calculated for the y-coordinate. Then, the poverty level cutoff in 1987 to the nearest dollar was $10787.
Read more about the midpoint segment here:
Answer:
Step-by-step explanation:
Alright, lets get started.
The surface area of the figure given is : The area of all shapes together
The figure has 2 similar triangles and 3 similar rectangles.
The area of 1 triangle =
The area of 1 triangle =
So, the area of both triangles =
The area of 1 rectangle =
The of 1 rectangle =
So, the area of all 3 rectangles =
So, total area of figure =
hence the surface area is 536.6 square centimeters : Answer
Hope it will help :)