All categories

2 years ago

. Find two consecutive odd integers whose product is 99. (Note: There are two different pairs of consecutive odd

Mathematics

1 answer:

Tom [10]2 years ago

4 0

Answer:

9 and 11

Step-by-step explanation:Let the 2 consecutive odd integers be n and n+2.

n(n + 2) = 99

Solve for n.

n2 + 2n - 99 = 0

(n + 11)(n - 9) = 0 ⇒

Two solutions:

n = -11

n + 2 = -9

and

n = 9

n + 2 = 11

Test the answers.

You might be interested in

The general form of the equation of a circle is x2 + y2 + 42x + 38y − 47 = 0. The equation of this circle in standard form is .

Readme [11.4K]

Answer:

(-21,-19)

$\sqrt{849}$

Standard form

Step-by-step explanation:

We are given the equation of circle

$x^2+y^2+42x+38y-47=0$

General equation of circle:

$x^2+y^2+2gx+2fy+c=0$

Centre: (-g,-f)

Radius: $\sqrt{g^2+f^2-c}$

Compare the equation to find f, g and c from the equation

$g\rightarrow 21$

$f\rightarrow 19$

$c\rightarrow -47$

Centre: (-21,-19)

Radius (r) $=\sqrt{21^2+19^2+47}=\sqrt{849}$

Standard form of circle:

$(x+21)^2+(y+19)^2=849$

The centre of circle at the point (-21,-19) and its radius is $\sqrt{849}$ .

The general form of the equation of a circle that has the same radius as the above circle is standard form.

4 0

3 years ago

Read 2 more answers

To make concrete Tyler mixes 55 kilograms of gravel wit 11 kilograms of cement how many kilograms of gravel does Tyler need for

tia_tia [17]

Answer:

5 kilos

Step-by-step explanation:

55:11

5:1 ratio

7 0

3 years ago

Help, and can you show your work?

Schach [20]

Step-by-step explanation:

answer A is correct

................

6 0

2 years ago

Read 2 more answers

How many states are in the USA?

34kurt

Answer:

Step-by-step explanation:

hope this helps! :)

The United States of America is a federal republic consisting of 50 states, a federal district (Washington, D.C., the capital city of the United States), five major (land areas owned or controlled by someone), and different minor islands.

5 0

3 years ago

Read 2 more answers

Determine the value of x.

Vlad1618 [11]

Answer:

2√2 = x

Step-by-step explanation:

---- = sin 45 degrees, or

x 1

----- = -----

4 √2

this results in x = 4 / √2 = 4√2/2 = 2√2 = x

3 0

2 years ago