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3 years ago

13. Show that 500 is not a prefect square

Mathematics

1 answer:

avanturin [10]3 years ago

3 0

Answer:

when we take the square root of 500 we get number with decimal value so its not a perfect square

Step-by-step explanation:

x^2=500

x=square root of 500

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2, 6, 10, 14, ...

8090 [49]

The sequence can be represented by $2 + 4x$ , where $x$ is a whole number( $x \geq 0$ and $x$ is an integer). By this, we should be able to plug in some whole number x and be able to get these values if they are in the sequence. To test this, let's set these numbers equal to $2 + 4x$ and confirm that there is a whole number x which equals the values selected.

$2 + 4x = 90 \Rightarrow 4x = 88 \Rightarrow x = 22 \, \checkmark$

$2 + 4x = 150 \Rightarrow 4x = 148 \Rightarrow x = 37 \, \checkmark$

$2 + 4x = 160 \Rightarrow 4x = 158 \Rightarrow x = 39.5$

When trying 160 with our equation, we find that x doesn't equal a whole number, thus our answer is C, or 160. To confirm our answer, we can test 170 and 210 and confirm that they both give us a value for x which is a whole number.

$2 + 4x = 170 \Rightarrow 4x = 168 \Rightarrow x = 42 \, \checkmark$

$2 + 4x = 210 \Rightarrow 4x = 208 \Rightarrow x = 52 \, \checkmark$

6 0

3 years ago

PLZ HELP if you dont know just dont answer i will give brainliest if you answer right

marta [7]

Answer: The answer for 1. is 216

The answer for 2. is 224

The answer for 3. is 90

The answer for 4. is 40

The answer for 5. should be 80

Step-by-step explanation:

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3 years ago

Based on the information in the diagram, what is the length of side b?

Keith_Richards [23]

Answer:

Step-by-step explanation:

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3 years ago

Eric has a job transporting softdrinks by truck. His truck is filled with cans that weigh 14 oz each involves that way 70 oz eac

Verizon [17]

Answer:

Total no. of cans and bottles = 920. One can weigh 14 ounce

Step-by-step explanation:

56x + 800

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2 years ago

Simplify the expression: 4a - 3(4 - a)

Lorico [155]

Answer:

Step-by-step explanation:

$4a-3\left(4-a\right)\\\\\mathrm{Expand}\:-3\left(4-a\right):\quad -12+3a\\\\=4a-12+3a\\\\\mathrm{Simplify}\:4a-12+3a:\quad 7a-12\\\\\mathrm{Simplify}\:4a-12+3a:\quad 7a-12\\\\=7a-12$

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3 years ago

13. Show that 500 is not a prefect square​

13. Show that 500 is not a prefect square