the product of two consecutive integers is 90. Find the two integers then check your answer​

Answers

Answer 1

Answer:

9,10 or -10,-9

Step-by-step explanation:

Let call the first integer n and the second integer n+1 since they are consecutive.

Since the product of the integer is 90 set up this equation

[tex]n \times (n + 1)= 90[/tex]

[tex]n {}^{2} + n = 90[/tex]

Subtract 90 to get it on the left side

[tex] n {}^{2} + n - 90 [/tex]

Apply quadratic formula

[tex] - 1 + - \sqrt{ \frac{1 {}^{2} - 4(1)( - 90) }{2(1)} } [/tex]

[tex] - 1 + - \sqrt{ \frac{1 - ( - 360}{2} } [/tex]

[tex] - 1 + - \sqrt{ \frac{1 + 360 = 361}{2} } [/tex]

[tex] - 1 + - \frac{ \sqrt{361 = } 19}{2} [/tex]

The roots are n= -10 and 9. We can use either root but let use a positve root

We are taking the positve roots

Plug 9 as n into n+1

[tex]9 + 1 = 10[/tex]

or

[tex] - 10 + 1 = - 9[/tex]


Related Questions

em um campeonato de ciclismo um atleta precisou percorrer 54 000 m para a faixa de Chegada Sabendo que Ele demorou 7 2000 Segundos a Concluir a Corrida qual foi dua Velocidade Media em Km/h?​

Answers

Answer:

Average speed in km / h = 2.7 km/h

Step-by-step explanation:

Given:

Total distance = 54,000 m

Total time = 72,000 sec

Find:

Average speed in km / h

Computation:

Average speed = Distance / Time

Average speed = 54,000 / 72,000

Average speed = 0.75 m/s

1 m/s = 3.6 km/h

So,

Average speed in km / h = 0.75 x 3.6

Average speed in km / h = 2.7 km/h

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Answers

The answer is 2 answer 2

The three side lengths best describe the triangle in the diagram are A. 5 cm, 12 cm, and 13 cm

What is a triangle?

A polygon with three sides and angles is called a triangle.

Given is a figure, with the rulers attached to each side, we need to see what are the measurements of the sides of the triangle,

The first side is showing a measure of 13

The second side is showing a measure of 12

And, the third one is showing a measure of 5

This is a right triangle because the measurements are Pythagorean triplets.

Hence, the three side lengths best describe the triangle in the diagram are A. 5 cm, 12 cm, and 13 cm

Learn  more about triangles, click;

https://brainly.com/question/2773823

#SPJ7

help me solve this please

Answers

Answer:

the answer is 0.7692

Step-by-step explanation:

Now select point D, and move it around. You will notice that moves with point D but remains parallel to . Check the box labeled Show Ratios of Intersected Segments to see the ratios AD : DB and AE : EC. What do you notice about the ratios as you move point D?

Answers

Answer: The ratios change as the position of D changes, but the two ratios remain equal to each other.

Step-by-step explanation:

Answer:

The ratios change as the position of D changes, but the two ratios remain equal to each other

Step-by-step explanation:

(a) At Smith's Bike Rentals, it costs $18 to rent a bike for 4 hours.
How many dollars does it cost per hour of bike use?

Answers

$4.50 you just do 18/4 to get ur answer per hour

Answer:My answer is $4.50 a hr. If u add 4.50 up 4 times, you will get 18. If u multiply 4.50 ×4 it will equal 18.

Step-by-step explanation:

ples ill give you the brianliest

Answers

Answer:

72

Step-by-step explanation:

step 1: 10(4+14/7)+12

step 2: 10(4+2)+12

step 3: 10(6)+12

step 4: 60+12=72

An item that was selling for $82.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Amount of decrease = 82-60 = 22

percentage decrease = 22/82 ≅ 0.268 = 26.8%

Please help me !!!!!!!!!

Answers

Answer:

f(-2) = 0

f(1) = 12

f(2) = 5

Step-by-step explanation:

f(-2) will lie in the function [tex] f(x) =x^2 - 4[/tex]

[tex]\therefore f( - 2) = {( - 2)}^{2} - 4 = 4 - 4 = 0 [/tex]

f(1) will lie in the function [tex] f(x) =2x^2 +10[/tex]

[tex]\therefore f(1) = 2 {(1)}^{2} + 10 = 2 + 10 = 12 [/tex]

f(2) will lie in the function [tex] f(x) =5[/tex]

[tex]\therefore f(2) = 5[/tex]

Find the midpoint between each pair of points.
13. (7,-2) (-4,2)
BONUS POINTS IF RIGHT

Answers

Ok the mid point is 3/2,0

15. If R is the midpoint of OS, OR = &r - 51 and RS = 3x - 6, find QS.
Only answer if right I need help

Answers

Give me a sec please

find the Sum and the product
of the root of the Equadration
1/3and 2/3​

Answers

Answer:

sorry do not know

Step-by-step explanation:

.

Answer:

9x² - 9x +2

Step-by-step explanation:

general formula =x²-(sum of roots)x+(product of roots)

2 z − 22 facorise fully

Answers

Answer:

Factorising fully

then

2z - 22

= 2( z - 11)

1. A bank account started with $1000 and earned $10 interest per month
for two years. The bank then paid 2% interest on the account for the
next two years.

Answers

Answer:

What exactly is the question here ?? (lol)

ratio of 12 seconds to 1 hour​

Answers

12:3600

1:300

I edited it lol

hope that helps

please answer this as soon as possible

Answers

Answer:

Realmente no sé, lo siento muchísimo :(

Estoy tan triste que no puedo ayudar: ((((

Step-by-step explanation:

The buyer of a lot pays 50,000 and 10,000 every month for 10 yearts and is worth 8% compounded monthly

Answers

Answer:

d

Step-by-step explanation:

of course it is Charlie as he just walked 11.8 miles

Factor as the product of two binomial X^2-100=

Answers

Answer:

x^2 - 100 = (x + 10) * (x - 10)

Step-by-step explanation:

Recall that 100 is the perfect square of 10:

10^2 = 100

then we can use the formula for factorization of a difference of squares:

x^2 - 10^2 = (x + 10) * (x - 10)

I dont understand it​

Answers

Answer:

30xy

Step-by-step explanation:

I divided this shape into a square and a rectangle.

Solve:

First I multiplied 2x and 3y

2x*3y= 6xy

Then I multiplied 6x and 4y

6x*4y= 24xy

Then I added them together

24xy+6xy= 30xy

Hope this helps!

Solve the inequality:
-3t+9 > -21
O t< -10
o t < 10
O t> -10
O t > 10

Answers

Answer:

b. t < 10

Step-by-step explanation:

[tex]-3t + 9>-21[/tex]

divide both sides by -3

[tex]t - 3 < 7[/tex]

(you have to flip the sign because you are dividing by a negative)

add 3 to both sides

[tex]t<10[/tex]

9= 3 3_4- 2 7_8- b
B?

Answers

Answer:

Step-by-step explanation:

9 - 3¾ - 2⅞ = 3⅜

He gave his grandmother 3⅜ pounds of apples.

hello hello I need help asap ​

Answers

13/4 and 3 1/4
Hope this helps

Answer:

im not smart

Step-by-step explanation:

- 3x + 5y = -2
2x - 2y = 1
Solve by elimination

Answers

the answer i think its 8 not sure

Consider the following ordered data: 2 5 5 6 7 7 8 9 10 find Q3+1.5

Answers

You figure that your own >:(

A boat can travel 77 9/16 nautical miles in 8 1/2 at how many knots is the boat traveling ​

Answers

Divide miles by time:

77 9/16 miles / 8 1/2 hours =

Rewrite as I’m proper fractions:

1241/16 / 17/2

Flip the second fraction over and multiply:

1241/16 x 2/17 = (1241x2)/(16x17) =

2482/272 = 9 1/8 miles per hour

Hi there!

Simplify each terms:

[tex]77\frac{9}{16}*8\frac{1}{2}=77\frac{9}{16}*8\frac{8}{16}[/tex]

Divide each terms:

[tex]77\frac{9}{16}*8\frac{8}{16}=9\frac{2}{16}[/tex]

Simplify terms:

[tex]9\frac{2}{16}=9\frac{1}{8}[/tex]

Final Result:

[tex]9\frac{1}{8}[/tex]

graph of function f(x)=1/x+7-14

Answers

Find the asymptotes.
Vertical Asymptotes: x=0
Horizontal Asymptotes: y= -7
No Oblique Asymptotes

Sorry for the blur but I need help with this one objective: find all seven angles

Answers

I know u need to add diverse then add again then u will get your answer which is 25

what is the equation of the line that passes through the point (5, -6) and has a slope of -3/5?

Answers

Answer:

y=-3/5x-3

Step-by-step explanation:

(5,-6). y=mx+b or -6=-3/5 × 5+b, or solving for b: b=-6-(-3/5)(5). b=-3.

If the 13th term in a linear sequence is 92 and the 28th term in the sequence is 152, what is the 6th term in the sequence?

Answers

Answer:

ueolrkkrirllelelkrururklñeñrllkrkkrlrllrllrlrlki

What is the slope of the line through (-4, 2) and (3, -3)? Choose 1 answer: (Α) 7 5 B 7 5 С 5 7 D 5 7​

Answers

Answer:

-5/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-2)/(3-(-4))

m=-5/(3+4)

m=-5/7

Plz help ASAP plz help

Answers

Answer:

t=12

Step-by-step explanation:

5t / 4 = 18 - 3

5t / 4 = 15

5t = 15 x 4

5t = 60

t = 12

Hope that helps!

Answer t is 12

Step by step explanantion

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