All categories

3 years ago

the sum of two consecutive even integers is greater than or equal to 34 what are the smallest possible integers?

Mathematics

1 answer:

DedPeter [7]3 years ago

3 0

n, n + 2 - two consecutive even integers

the sum of two consecutive even integers is greater than or equal to 34

n + (n + 2) ≥ 34

n + n + 2 ≥ 34

2n + 2 ≥ 34 subtract 2 from both sides

2n ≥ 32 divide both sides by 2

n ≥ 16

<h3>Answer: The smallest possible integers is equal 16.</h3>

You might be interested in

The art museum had a total of 224 visitors on Tuesday. Visitors older than 18 paid $12 for admission. Visitors 18 years or young

Oksana_A [137]

Answer:

A.42 my dude

Step-by-step explanation:

224-42=182

182x12=2,184

42x8=336

2184+336=2,520

It matches the total so the answer would be 42 hope this helps :D

6 0

3 years ago

How do I simplify (tanx/1+secx) + (1+secx/tanx)

Ket [755]

Tan x /(1 +sec x) + (1+sec x) /tan x

Tan x=sin x / cos x
1+ sec x=1 +1/cos x=(cos x+1)/cos x

Therefore:
tan x /(1 +sec x) =(sin x/cos x)/(cos x+1)/cos x=
=(sin x * cos x) / [cos x* (cos x+1)]=sin x /(Cos x+1)

(1+sec x) /tan x=[(cos x+1)/cos x] / (sin x/cos x)=
=[cos x(cos x+1)]/(sin x *cos x)=(cos x+1)/sin x

tan x /(1 +sec x) + (1+sec x) /tan x=
=sin x /(Cos x+1) + (cos x+1)/sin x=
=(sin²x+cos²x+2 cos x+1) / [sin x(cos x+1)]=

Remember: sin²x+cos²x=1⇒ sin²x=1-cos²x

=(1-cos²x+cos²x+2 cos x+1) / [sin x(cos x+1)]=
=2 cos x+2 / [sin x(cos x+1)]=
=2(cos x+1) / [sin x(cos x+1)]=
=2 /sin x

Answer : tan x /(1 +sec x) + (1+sec x) /tan x= 2/sin x

8 0

3 years ago

Jon said, “m-1 is always greater than 1-m. Do you agree with Jon? LIURE DOMPE DI EL דים כר LECCE RE: A. Agree, because m is a po

Trava [24]

Given that Jon said,

"m-1 is always greater than 1-m"

we want to find how true the statement is;

$\begin{gathered} \text{for m = positive integer.} \\ m=5 \\ m-1=5-1=4 \\ 1-m=1-5=-4 \\ So,\text{ } \\ m-1>1-m \\ \text{for m equals positive integer } \end{gathered}$

secondly for negative values of m;

$\begin{gathered} m=-5 \\ m-1=-5-1=-6 \\ 1-m=1-(-5)=1+5=6 \\ So, \\ m-1$

So, the statement "m-1 is always greater than 1-m" is false.

Because 1- m is greater than m-1 when m is a negative integer.

Therefore, I Disagree, because 1- m is greater than m-1 when m is a negative integer

3 0

1 year ago

Please help worth a lot of points !!! Find the measure of show your work

VashaNatasha [74]

Answer:

∠AEB = 72°

Step-by-step explanation:

Finding x

∠AEB = ∠DEC (Vertically opposite angles)
7x - 5 = 2(4x - 8)
7x - 5 = 8x - 16
8x - 7x = -5 + 16
x = 11

Finding ∠AEB

7x - 5
7(11) - 5
77 - 5
∠AEB = 72°

6 0

2 years ago

A rectangle has an area of 3/2 square yards. If the width of the rectangle is 1/2 yard, which statement is true?

dezoksy [38]

The answer is in your heart

7 0

3 years ago