For each rectangle below, write a linear equation that represents the area y of the rectangle. Solve this system of two linear e
1 answer:
(5,24)
- The two areas are the same.
- To find the area, we multiply the side lengths. Y=area
Rectangle 1: side lengths 4 and (x+1)
y=4(x+1)= 4x+4
Rectangle 2: side lengths 3 and (2x-2)
y=3(2x-2)= 6x-6
- Since the two areas are same, we can conclude that
4x+4=6x-6
- Now, simplify.
-2x=-10, x=5
- Since x is 5, we can plug it into the equations to find y.
Option 1 with rectangle 1: y=4(5)+4, y=24
Option 2 with rectangle 2: y=6(5)-5, y=24
I graphed the linear equation on desmos.
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Using translation concepts, the equation of g(x) is given as follows:
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the parent function is given by:
For a horizontal compression by a factor of 1/5, we have to find f(1/5x), hence:
For a vertical stretch by a factor of 7, we have to multiply by 7, hence:
For a reflection in the y-axis, we have to find g(-x), hence:
For a translation of 10 units left, we have to find g(x + 10), hence:
For a translation of 1 unit down, we have to subtract one, hence:
More can be learned about translation concepts at brainly.com/question/28174785
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Answer:
Check Explanation and the attached image.
Step-by-step explanation:
The histogram of the set of data presented is presented in the attached image to.this solution
The histogram represents data by indicating the frequency of distribution on the y-axis and the sets of variables indicated on the x-axis.
With the constellations named numbers 0 to 6, the frequency of each constellation, that is, the number of stars in each constellation corresponds to the height of the bar representing each constellation.
Hope this Helps!!!
