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2 years ago

דיי יוטורסם

Mathematics

1 answer:

igomit [66]2 years ago

3 0

I could be wrong but 1.5 years?

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One of the two positive integers is 5 less than the other. If the product of the two integers is 24, find the integers.

Studentka2010 [4]

Hello from MrBillDoesMath!

Answer:

3,8

Discussion:

Let "n" and "p" be the two positive integers. Then

n = p - 5 (*)

and

np = 24 (**)

Substituting (*) in (**) gives

np = 24 => as p = n+5

n(n+5) = 24 =>

n^2 + 5n - 24 = 0 => factor polynomial (n+8)(n-3)

So n = 3 or -8 but as n is positive, n = 3 Then p = n + 5 = 8

Check:

Is n (3) 5 less than p (8). Yes

Does np = 3 *8 24. Yes

Thank you,

MrB

6 0

3 years ago

The perimeter of a quadrilateral (four-sides polygon) is 50 inches. The longest side is three times as long as the shortest side

kkurt [141]

The side lengths of quadrilateral are 21 inches; 11 inches; 11 inches; 7 inches.

<u>SOLUTION:</u>

Given, the perimeter of a quadrilateral (four-side polygon) is 50 inches.

Let the length of shortest side be n inches. The longest side is three times as long as the shortest side.

That is, length of largest side = 3n inches

The other two sides are equally long and are 4 inches longer than the shortest side.

Then, length of remaining two sides = 4 + n inches

We have to find the length of all four sides.

Now, we know that, perimeter = 50 inches

$\begin{array}{l}{\rightarrow \text { Sum of all sides }=50} \\\\ {\rightarrow n+3 n+n+4+n+4=50} \\\\ {\rightarrow n+3 n+n+n=50-4-4} \\\\ {\rightarrow 6 n=42} \\\\ {\rightarrow n=7}\end{array}$

So, length of sides will be,

$7 \text { inches; } 3\times7=21 \text { inches; } 7+4=11 \text { inches; } 7+4=11 \text { inches. }$

6 0

4 years ago

A ball is thrown into the air with a speed of 32 feet per second. The function h=32t - 16t^2 models the height of the ball after

beks73 [17]

Answer:

t = 1 s

Step-by-step explanation:

The function models the height of the ball after t seconds is given by :

$h=32t - 16t^2$

We need to find how many seconds does it take for the ball to reach its maximum height.

For maximum height put dh/dt = 0

$\dfrac{dh}{dt}=\dfrac{d}{dt}(32t - 16t^2)\\=32-32t$

So,

32-32t = 0

t = 1

So, it will take 1 second to reach its maximum height.

7 0

3 years ago

Help and please explain!

UkoKoshka [18]

Answer:

a. 146

Step-by-step explanation:

{4*[72-6*(3+2)]}-22

=[4*(72-6*5)]-22

=[4*(72-30)]-22

=(4*42)-22

=168-22

=146

4 0

3 years ago

What is 2+2+9+0+8+1+2+3+4+5+6+7+8+9

pentagon [3]

2+2+9+0+8+1+2+3+4+5+6+7+8+9 is 66

6 0

2 years ago

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