Two numbers have a sum of - 6 and a product of 9.
Use the quadratic equation n^2 - 6n + 9 = 0 to determine the two numbers.
n2 - 6n + 9 = 0

Answers

Answer 1

Answer:

3, 3

Step-by-step explanation:

[tex]n^2 - 6n + 9 = 0 \\ n^2 - 3n - 3n+ 9 = 0 \\ n(n - 3) - 3(n - 3) = 0 \\ (n - 3)(n - 3) = 0 \\ n - 3 = 0, \: \: n - 3 = 0 \\ n = 3, \: \: n = 3[/tex]

Thus, the two numbers are 3, 3


Related Questions

A brick wall will be shaped like a rectangular prism. The wall needs to be 3ft tall and the builders have enough bricks for the wall to have a volume of 330 cubic feet. What tool can be used to find possible dimensions for the base of the wall?

Answers

Answer:

For a rectangular prism that has a base area B, and a height H, the volume is:

V = B*H

This is the only "tool" that we need to use in this situation.

We know that the wall needs to be 3ft tall, then H = 3ft

And we also know that we have enough bricks for a wall of a volume:

V = 330 ft^3

If we replace these two in the volume equation, we get:

330ft^3 = B*3ft

Now we can solve this for B, and thus find the volume of the base of the wall.

To do it, we just need to divide both sides by 3ft

(330 ft^3)/3ft = B*3ft/3ft

110 ft^2 = B

This means that the area of the base is 110ft^2

As the base is a rectangle of width W and length L, we must have:

110ft^2 = B = L*W

Then the possible measures of the base are given by the linear relation:

L = 110ft^2/W

Where we also need to add some trivial restrictions, like:

L > 0 ft

W > 0ft

This only means that we can not have a length or width equal to or smaller than zero, as those do not have physical sense.

Look at the given figure. If the triangles are congruent, give the theorem. If not, select not congruent.

a) SSA
b) SSS
c) SAS
d) Not Congruent

Answers

Answer:

A. SSS

Step-by-step explanation:

-10 + 4(3b + 10) = 19

And show work, please :)

Answers

Answer:

b= -11/12

Step-by-step explanation:

- 10 + 4(3b+10) = 19

-10 + 12b+40 = 19

40-10+12b=19

30+12b=19

-30          -30

12b= -11

/12     /12

b=  -11/12

Solve for x.
(x - 12)
2x
51

Answers

Answer:

114

Step-by-step explanation:

144 is the answer I think

please could you tell why one is more sweeter and the steps?

Answers

The answer is grandmas because she has more sugar.

24 and 25 thanks you no links or i report

Answers

Answer:

24) D. 5

25) C. $40

Step-by-step explanation:

........

Given 300mL of a gas at 17.0 degrees Celsius, what is the volume at 10 degrees Celsius if the pressure remains constant?

Answers

Answer:

292.75mL

Step-by-step explanation:

From the ideal gas equation

PV= nRT

With each symbols having standard meaning

For pressure remaining constant the equation for two states can be written as

[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]

Given V_1 = 300mL, T_1 = 17° C = 290K and T_2 = 10°C or 283K

Now plugging values in above equation to find V_2

[tex]\frac{300}{290} =\frac{V_2}{283}\\V_2 =\frac{300}{290}\times283 = 292.75mL[/tex]

Therefore, the volume at 10 degrees Celsius = 292.75mL

Solve for x
4/x = 2/7

Answers

the answer is 14

x=14

I'll give you the brainiest if your answer is right.

Answers

Answer:

=54

Step-by-step explanation:

give me the brainiest

Answer:

ACD would equal 117 degrees.  ACB would equal 63 degrees.

What is the area of the polygon below?

Answers

Answer:

65 units²

Step-by-step explanation:

The polygon is the combination of two rectangles.

Sides of the greater rectangle:

3 - (-8) = 11 and-2 - (-7) = 5

Sides of the smaller rectangle:

0 - (-5) = 5 and-7 - (-9) = 2

Area of the polygon:

11*5 + 5*2 = 65 units²

21 help asap Brailiest pic below

Answers

Answer:

A

Step-by-step explanation:

The inverse is just the opposite it is a flip

Which set of ordered pairs represents y as a function of x?
O {(1,5), (2,5), (3,4), (1,4)}
O {(7,8), 6,2), (3,2), (6,7)}
{(0,9), (2,8), (3,5), (1,8)}
o {(7,3), (2,6), (1,4), (2,8)}

Answers

Answer:

(2,8), (3,5),

Step-by-step explanation:

You need a mean of at least 90 points to advance to the next round of the touch-screen trivia. What score in the fifth game will allow you to advance

Answers

Answer:

At least 98 is needed in the 5th game

Step-by-step explanation:

The missing parameters are:

[tex]Game\ 1 = 95[/tex]

[tex]Game\ 2 = 91[/tex]

[tex]Game\ 3 = 77[/tex]

[tex]Game\ 4 =89[/tex]

[tex]Mean = 90[/tex] at least

Required

The score in game 5 to make you advance

Mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

So, we have:

[tex]Mean = \frac{95 + 91 + 77 + 89 + Game\ 5}{5}[/tex]

[tex]Mean = \frac{352 + Game\ 5}{5}[/tex]

The mean must be at least 90.

So, we have:

[tex]\frac{352 + Game\ 5}{5} \ge 90[/tex]

Multiply both sides by 5

[tex]5 * \frac{352 + Game\ 5}{5} \ge 90 * 5[/tex]

[tex]352 + Game\ 5 \ge 450[/tex]

Make Game 5 the subject

[tex]Game\ 5 \ge450 - 352[/tex]

[tex]Game\ 5 \ge 98[/tex]

At least 98 is needed in the 5th game

Find the perimeter of the trapezoid.

Answers

Answer:

18.9

Step-by-step explanation:

perimeter of a trapezoid is base + base + side + side (p = a + b + c + d)

adding up each of the sides gives you 18.9

The product of two consecutive even numbers is 224. What are these two numbers?

Answers

Answer:

14 and 16

Step-by-step explanation:

They are the ONLY  consecutive even numbers

And also

x and (x+2)

x(x+2)=224 ( product of a number and the consecutive of that number)

x ²+  2x-224=0

(x+16)(x-14) =0

x=-16 or 14

In this case 14 and (14+2)    14 and 16

 

 

The  integers are either 14 and 16 or -14 and -16.

Answer plz ASAP, I will give brainliest no links

Answers

Answer:

A: (10k+m)(10k−m)

Step-by-step explanation:

Watching your neighbors toddlers for $15/1.5 hours or babysitting your cousins for the day for $60/8 hours. Which one pays more?

Answers

Answer:

.

Step-by-step explanation:

Answer:

Babysitting your cousins

Step-by-step explanation:

Becauss 15/1.5 is 3. And 60/8 is 7.5

(HELP MEH FOR BRAINLY! ITS ONLY MULTIPLE CHOICE YALL)

Answers

Answer:

option (1)

Step-by-step explanation:

f(x) - g(x)

= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis

= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms

= 7x² - 8x + 4

SOMEONE FAST I NEED HELPP I'LL GIVE BRAINLIEST WHO DOESN'T HAVE ANY
Find the volume of the figure. *

Answers

Answer:

V = 282.74

Step-by-step explanation:

V = π r^2 h = π·32·10 = 282.74334

Answer:

the answer is 30

Step-by-step explanation:

Check the box labeled show altitude of triangle ABC. The altitude divides ABC into ADB and BDC through the point you determined in question 2.

Answers

The correct answer is 7

Can someone help me ASAP

Answers

the first answer is c

I have a picture with the question plz help I've been stuck on this

Answers

Answer:

i'm pretty sure it's 4

Step-by-step explanation:

you take the point (1,4) and make it so y is over x (y/x), which gets 4/1, so the constant of proportionality would be 4

How to find Gradient and y intercept

Answers

Gradient:

Find two points on the line and with those two points, calculate the difference in height(y coordinates) divided by the difference in width(x coordinates). If you get a positive value, then your line will be uphill.

Y-intercept:

Use y=mx+b
Find the slope first using the slope formula which is y2-y1 OVER x2-x1. Once you have that, take a point from the line and substitute the x and y coordinates along with the slope into y=mx+b.

So if your slope was 2/1 and your point was (4,8), it would be:

8=2(4)+b
8=6+b
*subtract 6 from both sides*
b=2

question on the picture:

Answers

Answer:

[tex]36\ feet[/tex]

Step-by-step explanation:

Assume that the shadow of an object in this problem is proportional to the height of the object. One can form the following ratio to describe the objects in this problem,

[tex](height):(shadow)[/tex]

As per the given problem, a (6) foot person casts a (1.7) foot shadow. Therefore, one can form the following ratio,

[tex]6:1.7[/tex]

It is given that there is a lighthouse that has a shadow of (10.2) feet, one is asked to find its height. Use the parameter (x) to represent the unknown; since the ratios are related, one can form a proportion to solve for(x).

[tex]6:1.7=x:10.2[/tex]

Cross products,

[tex](1.7)(x)=(6)(10.2)[/tex]

Simplify,

[tex]1.7x=61.2[/tex]

Inverse operations,

[tex]1.7x=61.2[/tex]

[tex]/1.7[/tex]

[tex]x=36[/tex]

Jeane earned $62.95 every week for babysitting. How much did she earn in 6 weeks?

Answers

Answer:

377.7

Step-by-step explanation:

because you multiply 62.95 times 6

hopes this helps

Answer:

$62.95*6= $377.7

because it say how much did she earn in six weeks. So your going to multiply $62.95 and 6  and you should get $377.7.

Brainliest please have a good day, yo girl trin

Is this a function?
A) Yes
B) No

Answers

Answer:

yes

Step-by-step explanation:

because its arranged in well functional statement

What are the answers for 1-4 this is geometry.

Answers

Answer/Step-by-step explanation:

1. x*21 = 24*14 (intersecting chords theorem)

21x = 336

x = 336/21

x = 16

2. 27*x = 45² (secant-tangent rule)

27x = 2,025

x = 2,025/27

x = 75

3. (x + 5)*5 = (4 + 6)*6 (Intersecting secants theorem)

5x + 25 = (10)*6

5x + 25 = 60

5x = 60 - 25

5x = 35

x = 35/5

x = 7

4. (4x + 2)*8 = (5x + 1)*7

32x + 16 = 35x + 7

Collect like terms

32x - 35x = -16 + 7

-3x = -9

x = -9/-3

x = 3


I will mark u as brainliest no websites


Answers

Answer:

the independent variable is p and the dependent variable is b

Step-by-step explanation:

Ivan has a sticker collection. 2/5 of his stickers are scratch-and-sniff stickers. 1/4 of his scratch-and-sniff stickers smell like bananas. What fraction of Ivan's sticker collection smells like bananas? *

Answers

Answer:

1 / 10

Step-by-step explanation:

From the question :

Fraction of scratch and sniff sticker from total stickers = 2/5

1/4 of scratch and sniff stickers smell like banana :

Fraction of total stickers that smell like banana :

(Fraction of scratch and sniff sticker from total stickers) * (scratch and sniff stickers smell like banana)

= (2/5) * (1/4)

= 2 /20

= 1/10

What is Y= -1/3x + 3

Answers

Answer:

Slope: -1/3  y-intercept: (0,3)  x-intercept: (9,0)

Step-by-step explanation:

the answer of this question is x=9
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