The difference of the squares of two positive consecutive integers is 991. Find the integers.

Answers

Answer 1

Answer:

The numbers are 495 and 496.

Step-by-step explanation:

[tex](x+1)^{2} -x^{2} =991\\x^{2} +2x+1-x^{2} =991\\2x+1=991\\2x=990\\x=495[/tex]


Related Questions

A delivery driver earns $221 for 17 hours of work. Assuming he is paid by the hour, how much will he earn in 12 hours?

Answers

Answer:

156

Step-by-step explanation:

221/17=13

13*12=156

Answer:

$156

Step-by-step explanation:

221/17=x/12

221*12=17x

2652=17x

156=x

An advertisement reads “All Books 28 Percent Off.” A best-selling novel is originally priced at $18.99. About how much money will Gio save if he buys the novel on sale?
$2
$6
$10
$14

Answers

Answer:

6 dollars i think

Step-by-step explanation:

Answer:

Gio will save about $6.

Step-by-step explanation:

You would convert 28% to a decimal which is 0.28 and then multiply 0.28 by $18.99 and you would get $5.3172 which is closest to $6 so it would be B. about $6

Are the lines parallel? 2x + 3y = 6 and 2x + 3y = 10

Answers

This is a website called Desmos but to solve this all you have to do is find slope and if they are reciprocals(are opposite of each other) they will be perpendicular. Hope this helps :)

Answer:

the fact that this dosen´t the question like

Step-by-step explanation:

-0.59x+0.39x=5.8 I need help

Answers

Answer: x = -29

Step-by-step explanation:

-0.59x+0.39x=5.8

Collect like terms

-0.2x = 5.8

Divide both sides of the equation by -0.2

x = -29

Response to user in comments:

-0.59+0.39=-0.2 that is a fact

-0.2/-0.2=1 that is a fact

5.8/-0.2= - 29 that is a fact

These are the facts about the steps of the equation. Solving Steps for Solving the Equation

Please help me out!​

Answers

I don’t even know sorry I will try and help out next time

Solve the equation. a4−56=−12 a=

Answers

a4-56=-12
Explanation is in the picture

Please help!! I have to find x and y!!

Answers

Answer:

X= 17.5

Step-by-step explanation:

the outside of the triangle always = 180

so you need to add up all the sides and equal to 180

5x+35+x+5+2x=180

add like terms

8x+40=180

get the x alone

x=17.5

Simplify 7 +(-3). (1 point)

Answers

Answer:

4

Step-by-step explanation:

7-3=4

Answer:

7-3=4

Step-by-step explanation:

Im not quite sure if this is what you were asking for but here

Suppose a system of equations was solved my elimination and the resulting equation was 0=3. Which of the following statements is/are true.

a. The slopes of the two equations in the system are the same but their y-intercepts are different.

b. The system is an independent system.

c. The graphs of the two equations would intersect at the point (0,3).

Answers

Answer:

a. The slopes of the two equations in the system are the same but their y-intercepts are different.

Step-by-step explanation:

The system resulting in equation 0=3 means:

There is no solutionThe lines are parallel as no intersection

Correct choice is:

a. The slopes of the two equations in the system are the same but their y-intercepts are different.

What is the value of cos(x/2) if tan x=1/2 and x is in quadrant III

Answers

Answer:

Step-by-step explanation:

The value of cos(x/2) is required.

The required value is [tex]\cos(x/2)=-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

Trigonometry

The given value is

[tex]\tan x=\dfrac{1}{2}[/tex] where x is in quadrant III.

From trigonometric identities we have

[tex]\sec^2x=1+\tan^2x\\\Rightarrow \sec^2x=1+(\dfrac{1}{2})^2\\\Rightarrow \sec^2x=\dfrac{5}{4}\\\Rightarrow \cos^{2}x=\dfrac{4}{5}\\\Rightarrow \cos x=\dfrac{2}{\sqrt{5}}[/tex]

If x lies in quadrant III then x/2 lies in quadrant II.

Cos is negative in quadrant III so,

[tex]\cos x=-\dfrac{2}{\sqrt{5}}=-\dfrac{2\sqrt{5}}{5}[/tex]

[tex]\cos \dfrac{x}{2}=\pm \sqrt{\dfrac{1+\cos x}{2}}\\ =\pm\sqrt{\dfrac{1-\dfrac{2\sqrt{5}}{5}}{2}}\\ =\pm\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

Since, x/2 lies in the second quadrant and cos (x/2) is negative.

The required value is [tex]-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]

Learn more about trigonometry:

https://brainly.com/question/24349828

URGENT HELP! VIEW PICTURE​

Answers

Answer:

it 2

Step-by-step explanation:

Answer:
I think it’s 3(n/5)

Explanation:

The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value of k?

Answers

Answer:

k=7

Step-by-step explanation:

when entering values of x in the function, it is observed that for k = 7 the results of f (x) displace 10 units. For this see the attached table. Therefore, for this case, the correct answer is k = 7 and the way to solve it is to substitute values of x in the given functions and see the results of f (x).I attach results.

Do it right plss I need good grades

Answers

Answer:its yhe one on the right

Step-by-step explanation:

Answer:

138 per 6 is the better deal

Step-by-step explan

$23 per g is the unit rate

Is 0.000027 greater than 270?

Answers

Answer:

no because it is lower than 1 and 270 is higher

Answer:

No, because 0.000027 is a decimal. Any decimal with 0. *something* will be less than one. 27 is more than one. Thus, the statement is false.

The atomic number of an element B is 17. The number of electrons in its ion B will be:
(a) 17 (b) 18. (c) 19. (d) 20.
answer with explanation

Answers

Answer:

18

Step-by-step explanation:

don't step answer. Because I am lol

Simplify (1/2)4. Plz answer fast

Answers

Answer: 2

Step-by-step explanation: 1/2 x 4 = 4/2 = 2/1 = 2.

900 students attend Ridgewood Junior High School. 5% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?

Answers

Answer:

180 students brought their lunch to school on Thursday

Step-by-step explanation:

We are told that out of 900, 5% of the students brought their lunch to school everyday

So the number that brought their lunch on Thursday will be;

5% of 900

= 5/100 * 900 = 180

WILL GIVE BRAINLIEST

WHAT IS 2+2

RIGHT AWNSER WINS/ HINT 4+18

Answers

Answer:

2+2=4

4+18=22

Step-by-step explanation:

What is the degree-measure of an angle travelled by the minute hand from 3:05pm to 3:50pm?

Answers

Answer:

270°

Step-by-step explanation:

We know that a full circle is 360°, the shape of a clock, and that the clock is divided into 12 different sections.

Our equation would be: 360 ÷ 12 = 30

3:05 is at the 1 hand and 3:50 is at the 10 hand. Subtract 1 from 10 and you get 9.

9 · 30 = 270, so our angle is 270°

I hope this helped, please mark Brainliest, thank you!

Choose 3 values that would make this inequality true. 9 - n ≥ 4

Answers

Answer: Could be 0,1,2,3,4,5

Step-by-step explanation: 9-n has to be greater or equal to four. 9 minus 4 is five. So all of the answers must be positive numbers that are less than five.

c = x + a / b solve for the x

Answers

Answer:

x= C-a/b

Step-by-step explanation: Ik alllLlLLlllLlLL

(my other account is actingqueen2468 but i forgot my password)

ill mark brainlest if right

Answers

I’m not sure but maybe A and C

Answer:

I am super sure its A and C

Hope this helps :D

Will give brainliest if correct.

Answers

Answer:

X Intercept: (-2, 0)

Y Intercept: (0, 7)

Explanation:

Plug y = 0 into the equation and solve the resulting equation 7x = −14 for x. Plug x = 0 into the equation and solve the resulting equation −2y = −14 for y.

Answer:

(- 2, 0 ) and (0, 7 )

Step-by-step explanation:

To find the x- intercept let y = 0 in the equation and solve for x

7x - 2(0) = - 14, that is

7x = - 14 ( divide both sides by 7 )

x = - 2 ⇒ (- 2, 0 ) is the x- intercept

To find the y- intercept let x = 0 in the equation and solve for y

7(0) - 2y = - 14, that is

- 2y = - 14 ( divide both sides by - 2 )

y = 7 ⇒ (0, 7 ) is the y- intercept

ason used a graphing tool to find the equation of the line of best fit in this scatter plot.



After reading the equation of the line from the graphing tool, Jason wrote in his notebook that the line of best fit is represented by the equation y = 0.316x + 9.105.

Jason likely
an error when writing the equation in his notebook because
the slope and the y-intercept of the equation he wrote.

Answers

Answer: Jason likely MADE an error when working the equation in his notebook because ONLY THE Y-INTERCEPT MATCHES the slope and the y-intercept of the equation he wrote.

Step-by-step explanation:

WILL MARK BRAINLIEST!!! Can someone help me wit dis question?

Given y = 9x - 4, what is the y-intercept?

a.) 4
b.) -4
c.) 9

Answers

Answer:

B.) -4

Step-by-step explanation:

y=mx+b

b is equal to the y-intercept.

Answer:

-4

Step-by-step explanation:

The slope intercept form is y = mx + b.

m = slope

b = y-intercept

since b = -4, the y-intercept is -4

Find the sum of the complex numbers.
(3 + 5i) + (10 + 71)
O A. 13 + 121
O B. 7 + 121
O
C. 13 + 2i
O D. 7 + 21

Answers

Answer:

A

Step-by-step explanation:

(3 + 5i) + (10 + 7i) =

3 + 5i +10 + 7i =

3 + 10 + 5i + 7i =

13 + 12i

Please help this is due today :)

Answers

The slope is 1/2
(Remember rise/run)
The full equation would be 1/2+1

Mass = 65 kg
Acceleration = 0.3 m/s2
Force =

Answers

Answer: 19.5 N

Step-by-step explanation:

Answer:

The answer is 19.2N

Step-by-step explanation:

F=m a

F=64*0.3=19.2N

The total charge on 4 particles is −36 units. All the particles have the same charge.

need asap What is the charge on each particle?

−9 units
−8 units
8 units
9 units

Answers

The answer is -9...........

Answer:

-9

Step-by-step explanation:

If you multiply 9x4 you get 36. its minus 36 so therefor it has to be -9

Hope this helps :) <3

The point-slope form of the equation of the line that passes through (-5, -1) and (10,-7) is
Y+ 7 = -
-- (x-10). What
is the standard form of the equation for this line?
O 2x - 5y = -15
2x - 5y = -17
2x + 5y = -15
2x + 5y = -17
Save and Exit

Answers

Answer:2x-5y=-15

Step-by-step explanation:

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