6) Two numbers have a sum of 15 and a product of 26. What are they?​

Answers

Answer 1

Answer:

2 and 13

Step-by-step explanation:

2+13=15

and

2x13=26

Answer 2

[tex]\large \mathfrak{Solution : }[/tex]

let the numbers be x and y

now, we know that

x + y = 15 - Equation (1)

xy = 26 - Equation (2)

by squaring Equation (1) :

(x + y)² = 15²

x² + y² + 2xy = 225

x² + y² - 2xy + 4xy = 225

(x - y)² + (4 × 26) = 225

(x - y)² + 104 = 225

(x - y)² = 225 - 104

(x - y)² = 121

x - y = 11

x = 11 + y - Equation (3)

Plugging the value of x from Equation (3) into Equation (1)

x + y = 15

11 + y + y = 15

2y = 15 - 11

y = 4 ÷ 2

y = 2 - Equation (4)

now, let's plug the value of y from Equation (4) into Equation (3) :

x = 11 + y

x = 11 + 2

x = 13


Related Questions

I need help lol so if you can help plz do

Answers

Answer:

B

Step-by-step explanation:

Let me know if I’m correct

hope this helps

it’s b :) have a nice day good luck!!

Kirby practiced saxophone 2 times during
the week for 1 1/2
hours. How many hours
during the week did he practice?

Answers

Answer:3

Step-by-step explanation:

cuanto es (((5+4)+(7-3))(2+8))=

Answers

Answer:

49

Step-by-step explanation:

[(5 + 4) + (7 - 3) × (2 + 8)] = ?[9 + 4 × 10] = ?9 + 40 = ?49

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Manuel estimates that 2/3 of a pizza is left. Stephen estimates that 3/4 is left. They are
going to compromise for a joint estimate by using the number halfway between their 2
estimates. What is their joint estimate?

Answers

Answer:

it is 2.5/3.5

Help me solve this equation and explain how you got the answer! I’ll give you brainliest

Answers

The answer to ur question is a

Help for brainliest plz

Answers

Answer:

marke me as brainly please

-3(2+ k)- 6k = 6+ 3k

Answers

Answer:

solve for k,  k=-1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

k=-1

Step-by-step explanation:

First step: Distribute

Result: -6-3k-6k=6+3k

Second step: Combine like terms

Result: -6-9k=6+3k

Third step: Add 6 to both sides

Result: -9k=12+3k

Fourth step: Subtract 3k from both sides

Result: -12k=12

Final step: Divide by -12 to both sides

Result/Answer: k=-1

Side note:

Hopefully this helps!

Is this correct or not? Please let me know

Answers

Answer:

No it is not correct. Jean had originally $208

Step-by-step explanation:

94 x 2 = 188

188 + 20 = 208

Simplify (4+2i)(4-2i)

A. 20
B. 12
C. 16-4i
D. 16+4i

Answers

[tex](a+b)(a-b)=a^2-b^2\\\\(4+2i)(4-2i)=4^2-(2i)^2=\boxed{16-4i^2}[/tex]

Answer:

A

Step-by-step explanation:

We want to simplify the expression:

[tex](4 + 2i)(4- 2i)[/tex]

Notice that this is the difference of two squares. That is:

[tex](a +b)(a-b) = a^2 - b^2[/tex]

We can let a = 4 and b = 2i. Hence:

[tex](4+2i)(4-2i) = (4)^2 - (2i)^2[/tex]

Simplify:

[tex]= (16) - (4i^2) \\ \\ = 16 - (-4) \\ \\ = 20[/tex]

(Note that i² = -1.)

In conclusion, our answer is A.

Select whether each number in the far left column is between 1 and 1.5, 1.5 and 2, or 2 and 2.5

Answers

Step-by-step explanation:

[tex] \sqrt{5} = 2.23[/tex]

[tex] \frac{\pi}{3} = 1.04[/tex]

[tex] \sqrt{3} = 1.73[/tex]

Subtract. Write your answer in simplest form.

4 5/8 - 1 1/8 =

PLEASE HELP AND EXPLAIN IF YOU DO I WILL ASAP GIVE YOU BRAINLIEST

Answers

Answer:

I HOPE IT WILL HELP YOU....

Take a common dinominator

Can someone please help me

Answers

Answer:

(13,2)

plss mark me brainliesttt

helpppppppppp it’s multiple choice questions I’ll brainlist!

Answers

Answer:#1 is D

Step-by-step explanation:angles must equal 180 and yk that the angle under e is 39 so 180-39 =141

the answer to ur question is D

The sum of twice a number and half the number is 10.


help pls :"​

Answers

Answer:

4

Step-by-step explanation:

Let x = the number

2x + (1/2)x = 10

(5/2)x = 10     Multiply both sides by 2/5

x = 4

A farmer has 180 Bushels of apples to sell at his roadside stand. He sells an average of 14 7/8 bushels each day. Represent the total change in the number of Bushels he has for sale after 5 days.

Please help me!

Answers

The answer is 105.625

A cylinder has a volume of 100cm and a radius
of 5 cm. What is its height in centimeters? Leave
the answer in terms of .

Answers

Answer:

1.27cm

Step-by-step explanation:

Volume(v) =100 cm

Radius(r) =5cm

Height(h) =?

Now,

Volume of cylinder (v) =¶r^2h

100 =22/7*5*5*h

100=78.57h

H=100/78.57

H=1.27cm

Height of cylinder is 1.27cm

Graph y - 4x + 3 = 0 and {(x , y ): x ≤ 1}. Click on the graph until the correct graph appears.

Answers

the third graph is the correct choice. the graph has a y-intercept at -3, with a slope of 4, and shading to the right of x=1

What is the solution to the following system?
X+2y+z=9
X-y+3z=13
2z=10

Answers

Answer:  x = 0; y = 2; z = 5

Step-by-step explanation:

x+2y+z=9

x-y+3z=13

2z=10

==

Start with the last equation:  2z = 10, therefore z = 5 [easy]

Let's rewrite the second equation with 1) z=5, and 2) rearrange to find x:

x-y+3z = 13

x - y +3*5 = 13

x = y-2

Now use the values for x [(y-2)] and y [5] in the first equation:

X+2y+z=9

(y-2) +2y + 5 = 9

3y +3 = 9

3y = 6

y = 2

Now that we have y [2] and z [5], let's use the first equation to solve for x:

x+2y+z=9

x + 4 + 5 = 9

x + 9 = 9

x = 0

====

Try the three values (x=0, y=2, and z=5) in any of the formulas.  The result should/will equal the number shown.

4. Tabatha is dining out at Mandee's and decides to get an order of curly fries.
chicken fingers, and a coca-cola. The total cost of the food with sales tax came to
$18.61. If Tabatha decides to give the cashier a 20% gratuity (tip), what does ber
total bill come to?


Answers

Answer:

$22.33

Step-by-step explanation:

A 20% tip would be 0.20. Multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total amount including tip.

subtotal --> $18.61

tip --> $3.72

18.61 x 0.20 = 3.72

total --> $22.33

Find the perimeter. Simplify your answer.
3x+7
3x+7
2x-3

Answers

2(3x + 7) + (2x - 3) =

= 6x + 14 + 2x - 3 =

= 6x + 2x + 14 - 3 = 8x + 11 ← the end

x
---- = 60
-9

Solving for "x".

Answers

[tex]\large\bf\red{ \longrightarrow} \rm \: \frac{x}{ - 9 \: \: \: } \: = \: 60 \\ [/tex]

[tex]\large\bf\red{ \longrightarrow} \rm \:x \: = \: - 9 \: \times \: 60[/tex]

[tex]\large\bf\red{ \longrightarrow} \rm \:x \: = \: - 540[/tex]

What are the coordinates of the midpoint segment joining the points A(-3,-4) and B(4,2)

Answers

Answer:

Step-by-step explanation:

x1 + x2 divided by 2

y1 + y2 divided by 2

-3 + 4 is 1/2

-4 + 4 is 0

(0.5,0)

i could be wrong but i did it in my head , but the equation is right . just do that in order

Answer:

( 0.5, - 1 )

Step-by-step explanation:

So here is the equation:

x2 + x1 / 2 For the x coordinate

y2 + y1 / 2 For the y coordinate

x2 is 4 and x 1 is -3 whilst y2 is 2 and y1 is -4.

Thus:

4 + -3 / 2 = 0.5 x coordinate

2 + -4 / 2 = -1 y coordinate

So it becomes (0.5, -1)

HOPE THIS HELPED

I need some help on 9 and 10

Answers

Answer:

question 9

92/11 or 8.36

Step-by-step explanation:

angle on straight line is 180

:. 10x+1 + 12x-5 = 180

collect like terms

10x+12x = 180+5-1

22x = 184

divide both sides by the coefficient of x

22x/22 = 180/22

:. x = 180/22(to d lowest form= 92/11)

or 8.36

Is the following statement true or false?
The intersection of two planes carl be a point.
true
false
Submit

Answers

False.

It could be a plane, a line, or no intersection at all. But it can't be a point.

Match the solution set given in inequality with the best solution set given in interval notation

Answers

There you go

I hope this help you

which of the following is the best estimate of the square root of 90

Answers

Answer:

9.5

Step-by-step explanation:

9.5x9.5= 90.25 which is the closest you can get without going into further decimals

Victor wants to see if positively greeting children as they enter the classroom reduces problem behaviors. He randomly assigns 10 second- and third-grade classrooms to one of two conditions: classes where the teacher greets each student by name and with a smile as they enter the classroom and classes where the teacher does not greet students. During a 4-week period, he asks teachers to track the number of problem behaviors per classroom on a daily basis via a strict protocol he has designed. What is the control group

Answers

The control group in the experiment are the classes where the teacher does not greet the students

A control group in an experiment is made up of groups of people that do not receive the experimental treatment.

The purpose of a control group is to allow the researcher study one variable at a time.

Victor is conducting an experiment on if positively greeting children as they enter the classroom reduces problem behaviours.

The experimental treatment here is positively greeting the students.

The group that do not receive this experimental treatment are referred to as the control group.

At the end of the experiment, Victor would compare the behaviours of the students in the control group with the behaviour of those who were part of the experimental group to see if greeting reduced problem behaviours.

To learn more about the control groups, please check : https://brainly.com/question/17602354?referrer=searchResults

find the spuare root of the following by division method.



418609


49729



55696



240100



10329796​

Answers

Answer:

1 =647

2=223

3=236

4=490

5=3214

۔

Find the slope of the line that passes
through each pair of points.
a. A(1,3), B(4,7)
b. C(3,5), D(2,6)
does anyone know this?

Answers

Answer:

a) [tex] \frac{4}{3} [/tex]

b) -1

Step-by-step explanation:

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

where (x₁, y₁) is the first point and (x₂, y₂) is the second point

6a) Slope

[tex] = \frac{7 - 3}{4 - 1} [/tex]

[tex] = \frac{4}{ 3} [/tex]

6b) Slope

[tex] = \frac{6 - 5}{2 - 3} [/tex]

[tex] = \frac{1}{ - 1} [/tex]

= -1

A scientist needs 10 liters of 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs?

Answers

Answer:

4.3L of the 40% solution and 5.7L of the 5% solution

Step-by-step explanation:

hope this helps

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