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Fynjy0 [20]
3 years ago
6

Choose any four consecutive even numbers. (For example: 6, 8, 10, 12). Multiply the two middle numbers together. (e.g. 8 x 10 =

80) Multiply the first and last numbers. (e.g. 6 x 12 = 72) Now subtract your second answer from the first. (e.g. 80 - 72 = 8) Try it with your own numbers. Why is the answer always 8?
Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

Step-by-step explanation:

let the consecutive even numbers be  2n-2,2n,2n+2,2n+4 where n>0 and n is an integer.

2n(2n+2)-(2n-2)(2n+4)

=4n²+4n-(4n²+8n-4n-8)

=4n²+4n-4n²-8n+4n+8

=8

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Pythagorean theorem help meeeeee!!
agasfer [191]

Answer:

25

Step-by-step explanation:

remember that the pythagorean theorem is a²+b²=c²

so this equation would be:

7²+24²=c²

solve the exponents

49 + 576 = c²

combine like terms

625 = c²

take the radical of each number

√625 = √c²

25 = c

have a lovely day <3

3 0
2 years ago
Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).
sdas [7]

There asking for the equation, and the possible answers are 

y = 2x + 6 y = −one halfx + 3 y = −one halfx + 6 y = 2x + 3


4 0
2 years ago
Your food bill comes to $68.26. If the tax rate is 7%, calculate the amount of tax your family will pay.
romanna [79]
Food bill = $68.26
Tax rate = 7 %
Tax that will be payed = 7/100 × 68.26
= $4.78
Hope u get the answer
6 0
3 years ago
Read 2 more answers
Answer for 14+3y &lt; 65
ivanzaharov [21]
Hey there!

14 + 3y < 65

SOME people replace “<”, “>”, “≥”, or “≤” as an equal sign (=) to make it easier to solve

14 + 3y < 65
14 + 3y = 65

SUBTRACT by 14 on both of your sides
3y + 14 - 14 = 65 - 14
CANCEL out: 14 - 14 because that gives you 0
KEEP: 65 - 14 because it helps you solve for “y”

**65 - 14 = 51**

NEW EQUATION: 3y = 51

DIVIDE by 3 both of your sides
3y/3 = 51/3
CANCEL out: 3/3 because that gives you 1
KEEP: 51/3 because it gives you the value of “y”



NEW EQUATION: y = 51/3

**51/3 = 17**

Answer: y = 17 ☑️

☑️ OVERALL ANSWER FOR YOU: y < 17 ☑️
NOTE: it’s an OPEN circle SHADED to the LEFT

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

5 0
3 years ago
Read 2 more answers
Determine if the two lines with the given slope are parallel, perpendicular, or neither. Circle your
Sati [7]

Answer:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

Step-by-step explanation:

Given

m₁ = 3/2

m₂ = -3/2

We know that when two lines are parallel, they have equal slopes

But

m₁ ≠ m₂

3/2 ≠ -3/2

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × -3/2

              = -9/4

              = -2.25

As

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

8 0
2 years ago
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