Answer:
(5x+2)(3x-2)
Step-by-step explanation:
We are given the height of Joe which is 1.6 meters, the length of his shadow is 2 meters when he stands 3 meters from the base of the floodlight.
First, we have to illustrate the problem. Then we can observe two right triangles formed, one is using Joe and the length of the shadow, the other is the floodlight and the sum of the distance from the base plus the length of the shadow. To determine the height of the floodlight, use ratio and proportion:
1.6 / 2 = x / (2 +3)
where x is the height of the flood light
solve for x, x = 4. Therefore, the height of the floodlight is 4 meters.
Answer: ? = x + 1
Step-by-step explanation:
The perimeter of the garden is x + 3x + 1 + x + ?
The perimeter of the garden is also (6x + 2)
Therfore:
x + 3x + 1 + x + ? = 6x + 2
<em>Collect like terms: </em>
5x + 1 + ? = 6x + 2
<em>Subtract 5x from both sides:</em>
1 + ? = x + 2
<em>Subtract 1 from both sides:</em>
? = x + 1
You cannot find ? as a number, only in terms of x.
By solving the inequality we get ![y\leq -3](https://tex.z-dn.net/?f=y%5Cleq%20-3)
What is graphing the inequality?
The act of illustrating which area of the number line contains values that will "satisfy" the specified inequality is known as graphing the inequality. Take a look at the first inequality, "x > -5." The numbers that can be used to substitute x in our inequality to produce a true statement can be shown on a graph of our inequality.
![3y\leq -9](https://tex.z-dn.net/?f=3y%5Cleq%20-9)
Dividing above equation by 3 we get,
![\frac{3y}{3}\leq \frac{-9}{3}\\y\leq -3](https://tex.z-dn.net/?f=%5Cfrac%7B3y%7D%7B3%7D%5Cleq%20%5Cfrac%7B-9%7D%7B3%7D%5C%5Cy%5Cleq%20-3)
Graph of
is
Therefore by solving the inequality we get ![y\leq -3](https://tex.z-dn.net/?f=y%5Cleq%20-3)
To learn more about graphing the inequality from the given link
brainly.com/question/24372553
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