Find two consecutive positive integers such that the sum of their squares is 761

Answers

Answer 1

Answer:

[tex]19^{2} +20^{2}[/tex] is 761

Step-by-step explanation:

Answer 2

Answer:

19 and 20

Step-by-step explanation:

Let the integers be x and x + 1.

According to the question,

x² + (x + 1)² = 761x² + x² + 2x + 1 = 7612x² + 2x - 760 = 0x² + x - 380 = 0x² + 20x - 19x - 380 = 0x(x + 20) - 19(x + 20) = 0(x - 19)(x + 20) = 0x = 19, -20But x is a positive integer⇒ x = 19

Therefore, the integers are :

x = 19x + 1 = 20

Related Questions

14,15,3,15,14,14,18,15,8 mean ,mode,median determine which measure of center best represenrs the data

Answers

Answer:

Mean: 12.9

Mode: 14,15

Median: 14

Step-by-step explanation:

What is the surface area of this rectangular prism?
SA =
ft2

Answers

Answer:1,504

Step-by-step explanation:

20x16=320

20x12=240

16x12=192

16x20=320

12x16=192

12x20=240

add them all the answer will be 1,504

I need to know the answer now please and thank you

Answers

Answer: D. f(-4)=g(-4)
When the y-value of the f line is -4 the y-value of the g line is -4

6 sushi rolls cost $8.99

Answers

8.99/6
1.4983
______
6|8.99

Hope this helps

angle 1- what degree

Answers

Answer:

22 degrees

Step-by-step explanation:

The two bottom sides have the same angle which is 79 and all the angles must add up to 180, so 79 plus 79 is 158 and 180 minus 158 is 22.

Hope this helps.

BTW it's my birthday

Answer:

25°

Step-by-step explanation:

Exterior angle property of triangle:

Exterior angle of a triangle equals the sum of oppositer interior angles.

∠1 + 79 = 104

Subtract 79 from both sides

        ∠1 = 104 - 79

        ∠1 = 25°

The total price of 5 pounds of bananas was $1.95. What was the price per pound?

Answers

Answer:

Well you divide the total of 1.95/5

.39 cent

Answer:

you would need to do 1.95/5 and that equals 39 cents so your answer would be .39

Work out
2 × 1015
8 × 108
Give your answer in standard form

Answers

Answer:

2.03 × 103 and 8.64 × 102

Step-by-step explanation:

If x²+ y²= 80 and xy = 12, find the value of (x - y)².​

Answers

[tex](x-y)^2\\\\=x^2+y^2 -2xy\\\\=80-2(12)\\\\=80-24\\\\=56[/tex]

We need to factorise (x−y) 2

We know the identity (a−b)2 =a2 −2ab+b2

Thus we have (x−y)2 =x2 −2xy+y2

A cylinder has a highet of 20cm and a volume of 1004.8cm. Calculate the radius of the base of the cylinder

Answers

Answer:

radius = 4 cm

Step-by-step explanation:

r≈4cm

Using the formula

V=πr2h

Solving forr

r=V

πh=1004.8

π·20≈3.99899cm

‼️GET BRANLIEST HERE‼️






PLS AND TY IT IS DUE SOON :))​

Answers

Answer:

b = 0.62

Step-by-step explanation:

Hello!

We can look at the y-values of the function to find our multiplier. A multiplier will determine if the graph decays or grows in an exponential function, and by how much.

When x is 0, we can see the y-value is around 3, but as x approaches 1, the y-value comes to around 2.

We can find the multiplier by dividing the current term by the previous term.

2 ÷ 32/30.6666...

This number is closest to 0.62, so the approximation is 0.62.

2/3

0.6666..

Approximation is 0.62 (b)

Hope this helped! Stay healthy!

Angeline puts $2000 into savings account which receives 2.6% interest per year. How much interest will she have on her savings at the end of year??

Thank you so much!

Answers

Answer:

A nightlight uses 4.00 W of power when plugged into an outlet. Assume that the only resistance in the circuit is provided by the light bulb's filament. The current in the circuit is 3.40 X 10^-2 A. What is the voltage across the filament?

Step-by-step explanation:

[tex]\pink{ \rule{0pt}{99999pt}}[/tex]

) Find the value of b for which 50y +150 is a factor of y3 – by2 +by+3b. ​

Answers

[tex]f(y) = y^3-by^2+by+3b\\\\\text{Since 50y+150 is a factor of f(y), }\\\\~~~~~f\left ( -\dfrac{150}{50}\right) = 0 \\\\\implies f(-3)=0 \\\\\implies (-3)^3 -b(-3)^2+b(-3)+3b =0\\\\\implies -27-9b-3b+3b=0\\\\\implies -27-9b =0\\\\\implies 9b = -27\\\\\implies b = -\dfrac{27}9\\\\\implies b = -3[/tex]

Help picture below problem 16

Answers

Answer:

Regular Hexagon

Step-by-step explanation:

There are six sides and all sides are equal

A haircut cost $16 which included tax. Joan tipped 20% and paid with a $50 bill. What was her change?

Answers

Answer:

32

Step-by-step explanation:

Answer: 30.8

Explanation: 20% of 16 is 3.2

16 + 3.2 = 19.2

50 - 19.2 = 30.8

I might be wrong but that's the answer I got

27 + x = 42 what is the value of x

Answers

Answer: x = 15

Step-by-step explanation:

Given:

27 + x = 42

Subtract 27 from both sides of the equation:

x = 15

27 + x = 42

Subtract 27 from both sides:

X = 15

Write the rate in lowest terms.
A printer can print 14 pages in 56 sec.
The rate in lowest terms is ______ ?

Answers

Answer:

1 page in 4 sec.

Step-by-step explanation:

To find the rate in lowest terms, divide the 14 pages by 56 seconds and find the simplest fraction.

14/56 = 1/4 in simplest terms.

This means the rate is 1 page in 4 seconds.

A garden store recently sold 44 seed packets, including 22 squash seed packets. considering this data how many of the next 94 seed packets sold should you expect to be squash seed packets?

Answers

The expected squash seed packets is its mean or average value

You should expect 47 squash seed packets in the next 94 seed packets

How to determine the expected squash seed packets?

The given parameters are:

Sample size (n) = 44 seed packetsSquash seed (x) = 22 seed packetsPopulation (N) = 94 seed packets

The expected squash seed packets is calculated as:

E(x) = x/n * N

This gives

E(x) = 22/44 * 94

Evaluate the product

E(x) = 47

Hence, you should expect 47 squash seed packets in the next 94 seed packets

Read more about expected values at:

https://brainly.com/question/15858152

how would the equation be written with an amplitude of 3 maximum of 4 minimum of -2 period of 4 and midline of 1 (Will report scams)

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

The required equation is :

[tex] \qquad \sf \dashrightarrow\: y = asin(bx) +k [/tex]

Now, let's find the required values :

period (p) = 4

[distance between any successive Crest or trough]

a = - 3 (flipped)

b = 2π/p = 2π/4 = π/2

k = 1

Distance of starting position from origin = k

Now, plug in the values ~

[tex] \qquad\dashrightarrow \sf\: y = -3sin(\frac{\pi}{2}x)+1 [/tex]

(-3 + 3y = 9)(8x - 6y = -4)

Answers

Step-by-step explanation:

(3y=9+3)(8x-6y=-4)

(3y=12)(8x-6y=-4)

(y=12÷3)(8x-6y=-4)

(y=4)(8x-6y=-4)

Now putting the value of y in (8x-6y=-4)

8x-6*4=-4

8x-24=-4

8x=24-4

8x=20

x=20/8

x=5/2

MAX POINTS PLEASE HELP Will make Brainliest

What is the period and frequency of the function graphed and how would the equation be written

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:a \cos(bx) + k[/tex]

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 4 \cos( \frac{ \pi}{3}x ) - 2[/tex]

Multiply 12•3/5. Simplify the answer and express it as a mixed number

Answers

Answer:

7 1/5

Step-by-step explanation:

12x3/5=36/5.

The solution is, 12•3/5 = 7 1/5 , expressed as a mixed number.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

we have to Multiply 12•3/5

i.e. 12 * 3 /5

= (12*3 )/5

=36/5

now, as we have to express it as a mixed number,

we get,

36/5 = 7 1/5

Hence, The solution is, 12•3/5 = 7 1/5 , expressed as a mixed number.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ7


A polynomial function has – 5+ 3t as a root. Which of the following must also be a root of the function?

Answers

a

Radical roots occur as conjugate pairs

Given - 5 + t is a root , then

- 5 - t is also a root → a

Which of these inequalities means that
18 is greater than three times a number?

Answers

hello!

Let's write this verbal phrase as an inequality.

First of all, let the number be n.

"three times n" can be written like so:-

[tex]\pmb{3n}[/tex]

Now, 18 is greater than 3n:-

[tex]\pmb{18 > 3n}[/tex]

Which means 3n is less than 18:-

[tex]\bigstar{\boxed{\pmb{3n < 18}}}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Ok I see it

Angle MKP is 95° because
120-25= 95
And it’s obtuse because 95 is greater than 90

Hope this helps :)

What is the length of this rectangular prism?Is it 5 or 3 or 6 or 2

Answers

we can't see the rectangular prism...

help me find Find m< G .

Answers

Answer:

∠G=110°

Step-by-step explanation:

The 4 interior angles of a kite add up to 360. 100+40=140. 360-140=220. E and G are the only angles left so we know together they must equal 220. And ∠E and ∠G are congruent angles beceause of kite rules. So, we divide by 2 to get how much angle E and G are individually.

Guys please help me!!! ​

Answers

Answer:

p = 2

q = -1

k = -1

Step-by-step explanation:

Cosine functions always start above or below 0. So, the one that starts at (0, 1) is f(x) = (p)cosx + q. Sine functions always start at 0. So, the one that starts at (0, 0) is g(x) = (k)sinx.

Using the help image attached, we know that:

p and k = amplitude (top to midline)

Negative when cosx/sinx starts at the bottom

q = vertical shift (movement of midline)

For f(x) = (p)cosx + q:

p = 2

q = -1

For g(x) = (k)sinx:

k = -1

Hope this helps!

at a certain wedding, 14/25 of the guests were over 25 years old.
Rewrite the fraction in the sentence below as a percentage.

Answers

Answer:

56% of the guests were over 25 years old.

Step-by-step explanation:

To convert a fraction to a percentage, multiply the fraction by 100. So, 14/25 can be multiplied by 4 to get 56/100, which is the same as 56%.

Which shapes show equivalent fractions?

A.shapes A and B
B.shapes A and D
C.shapes B and C
D.shapes A, B, and D

Answers

Answer:

B.shapes A and D

Step-by-step explanation:

Cuz if u see very carefully u will see they are cubes (except b) and A and D had one of its side's covered so the answer is simply A and D

Can y’all figure out the answer for me please

Answers

True

Explanation

Because if you flipped triangle def to straight it is actually the same but different size and that’s the meaning of “~”

Answer:

Step-by-step explanation:

true

if angle BCA is 90° and angle EFD is 90°

and if C to A is 14, half of that is 7 which is what F to D is

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