the sum of two integers is 81.if the product is 1088.what are the integers

Answers

Answer 1

Answer:

(a;b)={(17; 64); (64; 17)}

Step-by-step explanation:

a+b=81 => b=81-a

a*b=1088

a*(81-a)=1088

-a²+81a=1088

a²-81a+1088=0

a²-64a-17a+1088=0

a(a-64)-17(a-64)=0

(a-17)(a-64)=0

=> a=17 and a=64

for a=17 => b=81-17=64

for a=64 => b=81-64=17

(a;b)={(17; 64); (64; 17)}

Answer 2

The two integers are equal to a = 17 and b = 64.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The two integers are,

a+b=81 => b=81-a

a x b=1088

Calculate the value of one integer,

a x (81-a)=1088

-a²+81a=1088

a²-81a+1088=0

a²-64a-17a+1088=0

a(a-64)-17(a-64)=0

(a-17)(a-64)=0

Calculate the value of the second integer b,

=> a=17 and a=64

for a=17 => b=81-17=64

Therefore, the two integers are equal to a = 17 and b = 64.

To know more about an expression follow

https://brainly.com/question/24734894

#SPJ2


Related Questions

How many tangents that are common to both circles can be drawn?
A.1
B.2
C.3
D.4

Answers

Answer:

D. 4

Step-by-step explanation:

If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.

I hope this helped and have a good rest of your day!

3 tangets are common therefore they can be drawn

FP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

what is (5 x 3 ) + 10

Answers

Answer:

25

Step-by-step explanation:

5 x3 is 15 and then add 10. im sure u know that but yea

Which tree diagram shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labelled 1 through 4?

Answers

The answer is D.

For a toss of heads you can have a roll of 1, 2, 3 or 4.

and for a toss of tails you could have a roll of 1, 2, 3, or 4

Daniel cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 45 inches. How long is each side of the original square cake?

Answers

Answer:

15 inches

Step-by-step explanation:

As the square cake was cut in two equal pieces, we have that one side of the rectangle is the double of the other side, so we have that:

2*Length + 2*Width = 45

Length = 2*Width

So using the value of length in the first equation, we have:

4*Width + 2*Width = 45

6*Width = 45

Width = 7.5

Length = 2*Width = 15

So each side of the original cake is equal to the length of the rectangle pieces, that is, 15 inches.

2 rectangular prisms. One prism has a length of 6 meters, width of 5 meters, and height of 5 meters. The other prism has a length of 4 meters, width of 5 meters, and height of 7 meters.
What is the volume of the figure?
116 m3
190 m3
290 m3
390 m3

Answers

Answer:

the answer is 290 m3 i hope you guys have a good day today <3

Answer:

C

Step-by-step explanation:

edge

Please help me now plz I promise I will mark you brainliest

Answers

Answer:

C. Outside the circle

I hope this helps

Identify the outlier of the data set.
3,4,4,5,5,6,6,7,7,7,8,20
a
20
b
8
oooo
C
6.8
d
3

Answers

Answer:

a.20

Step-by-step explanation:

20 is standing out from the rest of the numbers

Use the Quadratic Formula to solve 2x^2=5x=6. Leave your answer in radical form. Show all work!

Answers

Answer:

[tex]x=\frac{-5+-i\sqrt{23} }{4}[/tex]

Step-by-step explanation

The quadratic formula is [tex]x=-\frac{-b+-\sqrt{bx^{2 -4ac} } }{2a}[/tex]

Answer:

-5  ± sqrt(73))  

 ----------------------------

       4

Step-by-step explanation:

2x^2 +5x =6

Subtract 6 from each side

2x^2 +5x -6 =0

This is in the form

ax^2 +bx+c  where a=2  b=5 and c=-6

The quadratic is -b ± sqrt(b^2 -4ac)  

                            ----------------------------

                                         2a

-5  ± sqrt(5^2 -4(2)(-6))  

 ----------------------------

       2(2)

-5  ±sqrt(25 +48))  

 ----------------------------

       4

-5  ± sqrt(73))  

 ----------------------------

       4

Solve algebraically
x-4y=-10
x+y=5

Answers

Answer:

if x+y=5, then x=5-y

so x-4y=-10

5-y-4y=-10

5-5y=-10

-5y=-15

y=3

x=5-y

x=5-3

x=2

x=2; y=3

A sphere-shaped beach ball is 16 inches in diameter. How many cubic inches of air will the ball hold when it is fully inflated? Use 3.14 for π. Round your answer to the nearest tenth.
a.682.7 cubic inches
b.2,143.6 cubic inches
c.5,461.3 cubic inches
d.17,148.6 cubic inches

Answers

5,41.3 cubic inches

The circular ring of the fountain has a radius of 9 feet. What is the area of the ring?

Answers

Answer:

about 254.47

Step-by-step explanation

Circle are equation: pi(r)^2

pi(9)^2 = 254.47

How do I convert 1.00 into a fraction?

Answers

Answer:

[tex]\frac{10}{10}[/tex]    (10/10)

Step-by-step explanation:

to convert 1.00 into a fraction you have to write 1.00 as numerator and put 1 as the denominator.

then, you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

1.00 = 1.00/1 = 10/10

Find the first four terms in the sequence an=15+6n.

A. 18, 12, 6, 0

B. 20, 26, 32, 38

C. 21, 27, 33, 39

D. 20, 14, 8, 2

Answers

The first four terms in the sequence an=15+6n are 21, 27, 33, and 39.

The correct option is C. 21, 27, 33, 39

From the question, the equation to calculate the nth term is given which is

an=15+6n.

Now, let a1, a2, a3 and a4 denote the first, second, third and fourth terms respectively.

For the first term, a1

n = 1,

From the given equation, an=15+6n

∴ a1 = 15 + 6(1)

a1 = 15 + 6

a1 = 21

∴The first term is 21

For the second term, a2

n = 2,

From the given equation, an=15+6n

∴ a2 = 15 + 6(2)

a2 = 15 + 12

a2 = 27

∴The second term is 27

For the third term, a3

n = 3,

From the given equation, an=15+6n

∴ a3 = 15 + 6(3)

a3 = 15 + 18

a3 = 33

∴The third term is 33

For the fourth term, a4

n = 4,

From the given equation, an=15+6n

∴ a4 = 15 + 6(4)

a4 = 15 + 24

a4 = 39

∴The fourth term is 39

Hence, the first four terms in the sequence an=15+6n are 21, 27, 33, and 39.

The correct option is C. 21, 27, 33, 39

Learn more on sequence here: https://brainly.com/question/24195209

Rhonda used unit cubes to make a rectangular prism. What is the volume of the prism? Prism with length as 7 unit cubes, height as 3 unit cubes and width as 2 unit cubes. A. 14 cubic units B. 21 cubic units C. 42 cubic units D. 63 cubic units

Answers

Answer:

42 cubic units

Step-by-step explanation:

A rectangle prism formula is V = l x h x w.

The length is 7

The height is 3

The width is 2

Then multiply 7, 3, and 2 together (7 x 3 x 2) = 42

The volume of the Rhonda rectangular prism will be 42 cubic units thus option (C) is correct.

What is volume?

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of the rectangular prism is given as,

V = length × height × width

Put length as 7 unit cubes, height as 3 unit cubes, and width as 2 unit cubes.

V = 7 x 3 x 2 = 42 units³.

Hence "The Rhonda rectangular prism will have a volume of 42 cubic units".

To learn more about volume,

https://brainly.com/question/1578538

#SPJ5

Compare finding the slope using a table and graph

Answers

The ratio of vertical change to horizontal change is the same between any two points on a line. Use two different points on the line above to show this is true. Use a table to determine the slope of a line. Step 1: Identify the change in each consecutive pair of y-values in the table. I hope this helps in some way

Use Pythagorean Theorem to find the missing side length. Round to the nearest tenth.

Answers

Answer:

15.1

Step-by-step explanation:

The Pythagorean theorem is

a^2 +b^2 = c^2

23^2 + b^2 = 27.5^2

529 +b^2 =756.25

Subtract 529 from each side

529-529+b^2 =756.25-529

b^2 =227.25

Take the square root of each side

b =sqrt(227.25)

b =15.07481343

To the nearest tenth

b = 15.1

Answer:

15.1

Step-by-step explanation:

15 POINTS. AND I WILL MARK BRAINLIEST!!!!
what is the angle of rotation symmetry for a shape that has rotational symmetry of order 5?

Answers

Answer: 72 degrees

Step-by-step explanation:

Antonio has a CD-player that holds six CDs. He puts six different CDs in the player and the CD player randomly plays a song from any of the CDs. What is the probability that the CD player will play the first song from the first CD and the first song from the sixth CD? Write your answer as a fraction.

Answers

Answer:

I'm not sure if this is correct, but I would say 2/6. You could further simplify that to 1/3

Step-by-step explanation:

There are 6 CDs, and it is asking the probability that it will play the first song from the first CD, and the first song from the first song from the 6th CD. That is where we get our 2.

Sorry if that was a bad explanation, I have trouble with explaining stuff.

Let me know if this is correct or not-

Answer:

one over six.

Step-by-step explanation:

If the player only play a CD one time.

Then let one decided by six.

Therefore the answer as a fraction is one over six.

The equation of line a is y=-1/4x+3 if line b runs perpendicular theough (2,6) what would be the equation of line b ?

Answers

Answer:

The formula of this perpendicular line is y = 4x - 2

Step-by-step explanation:

In y = -1/4x+3 the gradient is -1/4.

If two lines are perpendicular, then their gradients will multiply together to give -1.

Use this to find the gradient a of the perpendicular line.

-1/4 * a = -1

a = -1 * -4 so the gradient a of the perpendicular line = 4.

Substitute (2,6) in y = 4x + b, to find the value of b.

y = 4x + b

(2,6)

6 = (4*2) + b

b = 6 - (8)

b = -2

So now we have our equation.

The formula of this perpendicular line is y = 4x - 2


There are
18 girls and
22 boys in a class,one
of them has a letter. The probability that
the
owner
of the letter is a boy is​

Answers

First take the total of students ( 18 + 22 ) = 40. To calculate the percentage take the total of boys and divide it by the total of 40, and multiply by 100%. That gives 22 : 40 x 100% = 55. So the probability that a boy has the letter is 55%.

Which is a better buy on apples
5lbs. for $5.25 OR 10lbs. for $10.25

Answers

Answer:

10lbs. for $10.25

Step-by-step explanation:

A jar contains 666 red jelly beans, 444 green jelly beans, and 444 blue jelly beans.
If we choose a jelly bean, then another jelly bean without putting the first one back in the jar, what is the probability that the first jelly bean will be blue and the second will be blue as well?


Answers

Answer:

Step-by-step explanation:

P(first blue) =  444/ 1554

P(second blue) = 443/1553

P(first blue + second blue) = 444/ 1554 * 443/1553 = 0.08

Un laboratorio comercializa perfume en frascos que tienen una capacidad de 3/20 de litros ¿ cuantos litros de perfume se han de fabricar para llenar 1.000 frascos?

Answers

Answer:

Se debe fabricar 150 litros para llenar 1.000 frascos

Step-by-step explanation:

Segun los datos en el ejercicio un laboratorio comercializa perfume en frascos que tienen una capacidad de 3/20 de litros.

Para saber cuantos litros de perfume se han de fabricar para llenar 1.000 frascos hay que multiplicar la capacidad de los frascos por el número de frascos con el siguiente calculo:

litros de perfume se han de fabricar para llenar 1.000 frascos=(1,000/20) x 3

litros de perfume=50 x3

litros de perfume=150

Se debe fabricar 150 litros para llenar 1.000 frascos

If the sides of a triangle are in the ratio 5 is to 4 is to 3 and its area is 54 CM square find perimeter ​

Answers

Answer:

Perimeter = 36 cm

Step-by-step explanation:

Ratio of sides = 5:4:3

Sides are:

a =  5x ; b= 4x ; c =  3x

Semi perimeter  S = (a + b+ c )/2 = (5x + 4x +3x)/2 = 12x /2  = 6x

S - a = 6x - 5x = x

S - b = 6x - 4x = 2x

S - c = 6x - 3x = 3x

[tex]Area=\sqrt{S*(S-a)*(S-b)*(S-c)}\\\\\sqrt{6x*x*2x*3x}=54\\\\\sqrt{36x^{4}}=54\\\\6x^{2}=54\\\\x^{2}=\frac{54}{6}\\\\x^{2}=9\\\\x=\sqrt{9}\\\\ x=3\\[/tex]

sides of triangle:

a = 5x = 5*3 = 15 cm

b = 4x = 4*3 = 12 cm

c = 3x = 3*3 = 9 cm

Perimeter =  15 + 12 + 9 = 36 cm

how do I solve for x and y? ​

Answers

8/20=y/25
(0.4=y/25)*25
Y= 10
__________
8/20=(x+4)/15
0.4*15=x+4
6=x+4
X=2

Answer:

x=2  y=10

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

15            20

-----  = -------------

x+4         8

Using cross products

8*15 = 20 (x+4)

120 = 20(x+4)

Divide each side by 20

120/20 = 20(x+4)/20

6 = x+4

Subtract 4 from each side

6-4 = x+4-4

2 =x

25            20

-----  = -------------

y           8

Using cross products

25*8 = 20y

200 =20y

Divide by 20

200/20 = 20y/20

10=y

What is the equation of a line passing through 1,2 and -2,5

Answers

Answer:

y=-1x+3

Step-by-step explanation:

2-5/1+2

-3/3

-1

y=-1x+b

2=-1+b

b=3

y=-1x+3

please answer this. 20 points

Answers

Answer:

figure ii

Step-by-step explanation:

counterclockwise is this way >>>

thus making figure 2 the version of circle A spun counterclockwise

It is counterclockwise

The arc length
shown below is 15 feet.
State the equation that relates arc length to central angle.
Find the angle
in radians.
Convert your answer from Part II to degrees and write it to the nearest hundredth of a degree.

Answers

Answer:

s = rθ2.5 radians143.24°

Step-by-step explanation:

The applicable formula is ...

  s = rθ

where s is the arc length, r is the circle's radius, and θ is the central angle in radians.

Filling in the given values, we find ...

  15 = 6θ

  θ = 15/6 = 2.5 . . . radians

Pi (π) radians is 180°, so the angle in degrees is ...

  2.5(180°/π) ≈ 143.24°

State the degree of each expression.
1) 10x10 + x

Answers

Answer:

10x10x10

Step-by-step explanation:

Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000. When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01. if im not right i tried to fix the math question

Which expression is equivalent to 2.2 - 2.5?
A 2.5 - 2.2
B 2.2 + 2.5
C 2.2+(-2.5)
D 2.2 - (-2.5)

Answers

Answer:

C

Step-by-step explanation:

2.2-2.5

Since a + and a - make a minus if we have 2.2+(-2.5) we would get 2.2-2.5. So C is the anwser.

Other Questions
if a lizard is tremendous you could hold it in one hand? how did the battle of Ticonderoga change the patriots which one is not a renaissance man quality ? charming , witty , dance , carpenter ? 5.Use the information below to answer the question."For we must consider that we shall be as a city upon a hill. The eyes of all people are upon us, so that if we shall deal falsely with ourGod in this work we have undertaken, and so cause Him to withdraw His present help from us, we shall be made a story and a bywordthrough the world."- John Winthrop,A Model of Christian Charity, 1630In the passage from the sermon above, what is Winthrop arguing?A That the colonists should not establish their settlements in valleys but instead on hillsB That the settlers were forming a morally righteous society that could serve as a model for EnglandC That the settlers were the chosen people of God and deserved to live in the new worldD That there were enormous opportunities for profit in America The area of a square is 102 square units. What is anestimated value for the length of a side of the square?between 10 and 11between 11 and 12between 12 and 13between 13 and 14 Find the first five multiples of the number 5.A. 10, 15, 20, 25, 30B. 5, 10, 15, 20, 25c. 1, 5, 10, 15, 20D. 5, 15, 25, 35, 45 (-3x + 15) + (-3x + 2) In 2020, Marigold Corp., issued for $102 per share, 86000 shares of $100 par value convertible preferred stock. One share of preferred stock can be converted into three shares of Marigold's $25 par value common stock at the option of the preferred stockholder. In August 2021, all of the preferred stock was converted into common stock. The market value of the common stock at the date of the conversion was $30 per share. What total amount should be credited to additional paid-in capital from common stock as a result of the conversion of the preferred stock into common stock? A sculpture sits on a pedestal in the shape of a square prism. The side lengths of a base of the prism are 3 feet. The height of the prism is 4 feet. The museum director wants to cover all but the underside of the pedestal with foil that costs $0.22 per square foot. How much will the foil cost? Urgent. Explain in words, how you would plot (0, 4) on a coordinate plane. Select the correct answer from each drop-down menu.sin75 +sin15=sin75-3in15 = Point P is located at (-5,-1) and point Q is located at (-1,-7).find the slope of line segment PQ. Which of the following would be the BEST source to find the most current information about a topic? 1. A legal document 2. A newspaper 3. A scholarly journal 4. A textbook what is the area of a circle with the equation (x 6) + (y + 2) = 17 ? Moates Corporation has provided the following data concerning an investment project that it is considering: Initial investment $ 250,000 Annual cash flow $ 119,000 per year Expected life of the project 4 years Discount rate 8 % Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using the tables provided. The net present value of the project is closest to: (Round your intermediate calculations and final answer to the nearest whole dollar amount.) Multiple Choice $250,000 $144,128 $(131,000) $(144,128) Plz help ASAP!! A surgical technique is performed on eight patients. You are told that there is an 80% chance of success. Find the probability that the surgery is successful for fewer than two patients. Please show your work. Hint: the answer is 0.000084. A shoe manufacturer was investigating the weights of men's soccer cleats. He felt that the weight of these cleats was less than the average weight of 10 ounces. After a random sample of 13 pairs of cleats, he found that sample mean was 9.63 and the standard deviation was .585. At a significance level of .05, can it be concluded that the researcher was correct?Show work Lizzie goes to the Lakeside Mall with friends. She spends$25and returns home with$45. How much moneyddin dollars does Lizzie start with? Write an equation to show the amount of money Lizzie starts with. what are three segments from this figure? Provide evidence from the text that shows that the family is white. What is the effect of the author never explicitly stating the family's race? Once upon a time by Nadine Gordimer.