The sum of two numbers is 13. Their product is - 1850. Find the numbers.

Answers

Answer 1

Answer:

Let m and n be the numbers. Then:

m+n=13 and

mn=40

Then:

n=13-m

So:

m(13-m)=40

13m-m²=40

m²-13m+40=0

(m-8)(m-5)=40

m=8 or 5

Thus, the two numbers are 8 and 5……………….

Step-by-step explanation:


Related Questions

The table below shows four systems of equations:

System 1 System 2 System 3 System 4
4x − 5y = 2
3x − y = 8 4x − 5y = 2
10x − 7y = 18 4x − 5y = 2
3x − 8y = 4 4x − 5y = 2
10x + 3y = 15


Which pair of systems will have the same solution? (5 points)

Answers

System 1 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 1 to three times the second equation in system 1.

Maya and Edward cut lawns in the summer to earn spending money. Maya has a newer lawnmower, so Edward takes 15 minutes longer to cut a lawn than Maya. Working together they can both cut a lawn in 18 minutes. How long would it take Edward to cut a lawn alone?

Answers

Answer:

The answer would be 45 minutes.

Step-by-step explanation:

Just skipped to the answer on Edementum.

A fraction is a way to describe a part of a whole. The time it takes Edward to cut the lawn alone is 45 minutes.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Let the time taken by Maya to lawn the garden be x.

The rate at which Maya lawn = 1/x

Maya has a newer lawnmower, so Edward takes 15 minutes longer to cut a lawn than Maya. Therefore,

The rate at which Edward lawn = 1/(x+15)

Working together they can both cut a lawn in 18 minutes.

The rate at which they both work = 1/18

Now, the rate of working can be compared as,

1/x + 1/(x+15) = 1/18

(x+ x + 5)/x(x+15) = 1/18

(2x + 15)18 = x(x+15)

36x + 270=x² + 15x

x²-21x-270=0

x = 30, -9

Since time can not be negative. Therefore, the time it takes Edward to cut the lawn alone is,

x + 15

= 30 + 15

= 45 minutes

Hence, the time it takes Edward to cut the lawn alone is 45 minutes.

Learn more about Fraction:

https://brainly.com/question/1301963

#SPJ2

A kitchen sink holds 24 gallons of water. A full sink drains at 3 gallons per minute. Which of the following tables best represents the situation?
(The pictures are as follows!)

Answers

Answer:b

we start with 24 but as we get to the first minute we have already lost 3 gallons and so on.

simplest radical form:
4.582575695

Answers

hahahahahahahahahahahahahahahaha

URGENT. SHOW ALL SOLUTIONS. WILL MARK BRAINLIEST!!! An octagonal based pyramid has base side lengths of 20 cm and slant height of 80 cm. What is the surface area?

Answers

9514 1404 393

Answer:

  800(9 +√2) cm² ≈ 8331.4 cm²

Step-by-step explanation:

The surface area of the pyramid is the sum of the areas of the base and triangular faces.

The base area is given by ...

  A = 2(1 +√2)s² . . . . . where s is the length of one side

  A = 2(1 +√2)(20 cm)² = 800(1 +√2) cm²

The lateral area is given by ...

  A = (1/2)Ph . . . . . where P is the perimeter of the base and h is the slant height

  A = (1/2)(8)(20 cm)(80 cm) = 6400 cm²

Then the total surface area of the pyramid is ...

  SA = (800(1 +√2) +6400) cm² = 800(9 +√2) cm² ≈ 8331.4 cm²

The graphs below have the same shape what is the equation of the blue graph

Answers

Answer:  g(x) = (x-2)^2 + 1. Choice C

===========================================================

Explanation:

The graphs have the same shape, which means they have the same 'a' value.

In this case, a = 1.

The vertex of the red graph is (0,0).

The vertex of the blue parabola is (2, 1)

The red curve has been shifted 2 units to the right and 1 unit up.

Since the vertex of the blue graph is (2,1), this means h = 2 and k = 1.

Plug a = 1, h = 2 and k = 1 to get...

y = a(x-h)^2 + k

y = 1(x-2)^2 + 1

g(x) = (x-2)^2 + 1

Answer:

C.

Step-by-step explanation:

Since the blue graph shifted up by 1 unit, it would be +1 at the end of the quadratic function. Then, because the graph also shifted to the right 2 units, the blue graph subtracts from f(x)=x^2 (it does the opposite).

Please can someone explain place value to me. I failed in my test dunno how tho cause I studied place value in year 3 lol

Answers

Answer:

Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that children understand that whilst a digit can be the same, its value depends on where it is in the number.

Step-by-step explanation:

does this help?

Is this proportional? What is the function tule? How do you know?

Answers

no.

A function rule describes how to convert an input value (x) into an output value (y) for a given function.

it’s not constant throughout the table. or doesn’t have the same rate through the table.

The intensity,I, of light received at a source varies inversely as the square of the distance, d, from the source. If the light intensity is 33 foot-candles at 20 feet, find the light intensity at 5fee

Answers

Answer:

The light intensity is 528 foot-candles at 5 feet

Step-by-step explanation:

If x and y are in inverse variation, then x y = k, where k is the constant of variation

In the given question

∵ The intensity I, of light received at a source, varies inversely as the

   square of the distance d, from the source

→ That means I × d² = k, where k is the constant of variation

I × d² = k

I = 33 foot-candle at d = 20 feet

→ Substitute them in the rule above to find k

33 × (20)² = k

∴ 33 × 400 = k

13200 = k

→ Substitute the value of k in the equation

I × d² = 13200 ⇒ equation of variation

d = 5

→ Substitute it in the equation to find I

∵ I × (5)² = 13200

∴ I × 25 = 13200

→ Divide both sides by 15

I = 528

The light intensity is 528 at 5 feet

What’s the slope of this equation

Answers

Answer:

it is 4

Step-by-step explanation:

the slope is always the number in front of the X

BEST ANSWER WINS BRAINLYIEST

Answers

Answer:

1=C

2=C

Step-by-step explanation:

For 1, so just do 9+9=18/13=1 5/13 then add to 10=11 5/13

For 2, process of elimination. No math is needed. You know that 3+4=7 and not close to 2, 22, or 5/38.

Your Welcome :)

Answer:

Other guy should get brainliest. All his answers are right

Step-by-step explanation:

using y=mx+b find the slope for
x + 2y = -8

Answers

Answer:

y=1/2x-4

Step-by-step explanation:

solve the literal equation for f: - 3f = g for f
A.f=g/-3
B.g+3=f
C.f=g-3

Answers

Answer:

i think its a

Step-by-step explanation:

I need this done ASAP! I will give brainliest to the answer with the work shown for all problems. Or whichever is done the fastest with the work shown for all problems. I WILL REPORT ANY ANSWERS THAT DO NOT ANSWER MY QUESTION!

Answers

On the first one i think it might be 9 more than 75 oh gosh I hope this helped I’m tryin to get help to haha ❤️

I was at a farm this farm raises cows and chickens I manage to count the number of heads and legs on the form I counted a total of 26 heads and a total of 62 legs can you figure out the number of cows and chickens the farmer has

Answers

Answer:

5 cows, 21 chicken

Step-by-step explanation:

5 cows; 20legs

21chickens; 42legs

26heads; 62legs

The boundary line for the linear inequality goes through the points (-6,-4) and (3,-1). The point (9,1) is not a solution to this inequality and neither is (-4,7). Write and graph an inequality to represent the situation.

Answers

Answer:

y <  [tex]\frac{1}{3}[/tex] x - 2

Step-by-step explanation:

Slope of the line m = [tex]\frac{-4+1}{-6-3}[/tex] = [tex]\frac{1}{3}[/tex]

y + 1 = [tex]\frac{1}{3}[/tex] (x - 3)

y = [tex]\frac{1}{3}[/tex] x - 2

Points (9, 1) and (- 4, 7) are not solutions, then

1 < [tex]\frac{1}{3}[/tex] (9) - 2

7 < [tex]\frac{1}{3}[/tex] (- 4) - 2

Thus, the inequality is y <  [tex]\frac{1}{3}[/tex] x - 2  

Write an equation in point slope form for each line.
(1,6) and (2,3)

Answers

Question

How do you write the equation of a line in point slope form and slope intercept form given point (6, -3) and has a slope of 1/2?

Answer · 0 votes

Point-Slope Form is y+3=12(x−6) Slope-Intercept Form is y=12x−6 Explanation: .

Find all the Missing Angles

Answers

Answer:

need more information

What................?

Due at midnight!!! Help

Answers

I think it’s 5 or 4 what do you think

-3x+8y=12 what is the slope

Answers

Answer:

The slope (or m) would be 3/8. Hope this helps!

Answer:

slope: M=3/8

Step-by-step explanation:

-3x+8y=12

Use y=mx+b

3/8x+3/2

M=3/8

Hope this helped

Solve the system.
x + y - 3z = -20
-3y + 2z = 5
z = 4
Enter your answer as an ordered triple.
([ ? ],[ ], [ ]

Answers

Step-by-step explanation:

Subtract 2z2z from both sides of the equation.

x−2y+z=1x-2y+z=1

y=5−2zy=5-2z

x+y+3z=8x+y+3z=8

Replace all occurrences of yy with 5−2z5-2z in each equation.

x−2(5−2z)+z=1x-2(5-2z)+z=1

y=5−2zy=5-2z

x+5−2z+3z=8x+5-2z+3z=8

Simplify each equation.

x−10+5z=1x-10+5z=1

y=5−2zy=5-2z

x+5+z=8x+5+z=8

Move all terms not containing xx to the right side of the equation.

x=11−5zx=11-5z

y=5−2zy=5-2z

x+5+z=8x+5+z=8

Replace all occurrences of xx in x+5+z=8x+5+z=8 with 11−5z11-5z.

x=11−5zx=11-5z

y=5−2zy=5-2z

(11−5z)+5+z=8(11-5z)+5+z=8

Simplify (11−5z)+5+z(11-5z)+5+z.

x=11−5zx=11-5z

y=5−2zy=5-2z

−4z+16

Answer: (-9, 1, 4)

Step-by-step explanation:

its right on acellus

Someone help me out please

Answers

Answer:

0.5-1

Step-by-step explanation:

which statements are true check all that apply please help ​

Answers

Answer:

a c and d

Step-by-step explanation:

lmk if you need work

and remember that when it is negative, the value that is closer to 0 is greater

In the figure below, what is the measure of AB?

Answers

Answer:

The measure of AB is 29

Step-by-step explanation:

If a line is drawn from a vertex of a triangle perpendicular to the opposite side to this vertex and bisects it, then the sides joining this vertex are equal in lengths

In Δ ABD

Line AC ⊥ side BD

∵ BC = BD = 15

C is the mid-point of The side BD

∴ Line AC is a perpendicular bisector of side BD

→ By using the rule above

AB = AD

∵ AB = 5x - 11

∵ AD = 3x + 5

→ Equate them

5x - 11 = 3x + 5

→ Add 11 to both sides

∵ 5x - 11 + 11 = 3x + 5 + 11

∴ 5x = 3x + 16

→ Subtract 3x from both sides

∵ 5x - 3x = 3x - 3x + 16

∴ 2x = 16

→ Divide both sides by 2

x = 8

→ Substitute the value x in the expression of side AB

∵ AB = 5(8) - 11

∴ AB = 40 - 11

AB = 29

The measure of AB is 29

PLZ HELP ME ASAP!!!!

Answers

I can’t see the picture...

Answer:

I cant see the picture

Step-by-step explanation:

I cant see the picture

Write equation line that passes through (2,2) and is parallel to line y=3x+9

An equation of parallel line is y=___

Answers

Answer:

Step-by-step explanation:

The slope is in the given line. It is the number in front of the x which is 3.

So far what you have is

y = 3x + b

Now use the point to find b

x = 2

y = 2

Substitute

y = 3*2 + b

2 = 6 + b

2 - 6 = b

b = - 4

y = 3x - 4

Dwayne ordered a set of purple and green pins. He received 35 pins in all. 28 of the pins were purple. What percentage of the pins were purple?

Answers

Answer:

28/35 = 4/5

Step-by-step explanation:

28 divided by 7 = 4

35 divided by 7 = 5

HELP HELP HELP HELP HELP I HAVE A TEST ON THIS HELP NOW!!!!! Which list shows the absolute values in order from least to greatest? Select each correct answer. a.∣∣−514∣∣ , ∣∣−47∣∣ , ∣∣67∣∣ b.∣∣−23∣∣ , ∣∣−59∣∣ , ∣∣29∣∣ c.∣∣−38∣∣ , ∣∣34∣∣ , ∣∣−78∣∣ d.∣∣−110∣∣ , ∣∣−45∣∣ , ∣∣710∣∣ HELP HELP HELP HELP

Answers

Answer:

None

Step-by-step explanation:

Required

Select which is in ascending order

It should be noted that absolute values only return positives.

i.e.

∣a∣ or ∣∣a∣∣ or ∣-a∣ or ∣∣-a∣∣ = a

Having said that:

a.∣∣−514∣∣ , ∣∣−47∣∣ , ∣∣67∣∣

This gives: 514, 47, 67

This is not in ascending order

b.∣∣−23∣∣ , ∣∣−59∣∣ , ∣∣29∣∣

This gives: 23, 59, 29

This is not in ascending order

c.∣∣−38∣∣ , ∣∣34∣∣ , ∣∣−78∣∣

This gives: 38, 34, 78

This is not in ascending order

d.∣∣−110∣∣ , ∣∣−45∣∣ , ∣∣710∣∣

This gives: 110, 45, 710

This is not in ascending order

Hence, none of the list is in ascending order

hhellp pwease I want to know what's wrong and right

Answers

Answer:

A: False

B: False

C: True

D: True

E: False

F: True

G: True

H: True

Step-by-step explanation:

A: 9(x - 2) = 9x + 2

9x - 18 = 9x + 2 FALSE

B: 65 - y = y - 65

(equation rearranged) -y + 65 = y - 65 FALSE

C: g (times) h = h (times) g     (TRUE due to the commutative property of multiplication)

D: a (times) 0 = 0      (TRUE because anything times 0 equals 0)

E: (4 (times) 2) - r = 4 (2 (times) r)

8 - r =  8 - 4r FALSE

F: k + 0 = k TRUE

G: (a + x) + y = a + (x + y)

a + x + y = a + x + y TRUE

H: 5(2x - 9) = 10x - 45

10x - 45 = 10x - 45 TRUE

Write a line function with a slope of 5 that passes through the point of (2,1)

Answers

Answer: 5x - 9

Hope this helps :)

Answer:the other one is wrong

Step-by-step explanation:5x - 9is wrong

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