What two numbers multiply to get 18 but add to get -12

Answers

Answer 1

Answer:

-6+3[tex]\sqrt{2}[/tex] and -6-3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

xy = 18

x+y = -12

y = -12-x

substitution method:

x(-12-x) = 18

-12x - x² - 18 = 0

-x² - 12x - 18 = 0

-(x² + 12x + 18) = 0

used quadratic formula:

(-12±√144 - 4(18)) ÷ 2

(-12 ± [tex]\sqrt{72}[/tex]) ÷ 2

(-12 ± 6[tex]\sqrt{2}[/tex]) ÷ 2

= -6 ± 3[tex]\sqrt{2}[/tex]


Related Questions

explain why Shirley Chisholm was a political pioneer. _________________________________________________________________________________________________________________

Answers

Answer: She had already surprised everyone by becoming the first black woman in Congress after an upset victory in 1968. Then Shirley Chisholm signed up for work as a census taker in Brooklyn, where she represented a range of struggling neighborhoods.

It was a thankless task; many of the “enumerators” for the 1970 census quit because so many poor black and Hispanic residents refused to answer questions or even open the door.

Their distrust in government ran deep, The Times reported, with some fearing that giving up their personal information would lead to genocide.

Ms. Chisholm, a daughter of immigrants from Barbados who studied American history with the zeal of a woman determined to shape it, understood such sentiments. She also embodied what was needed to bring those New Yorkers into the fold. It wasn’t pontificating. It wasn’t condescending, or scolding; it required the same charm and resolve she showed first as an educator, then as a politician.

“I do not see myself as a lawmaker, an innovator in the field of legislation,” she wrote in her 1970 autobiography, “Unbought and Unbossed.” “America has the laws and the material resources it takes to insure justice for all its people. What it lacks is the heart, the humanity, the Christian love that it would take.”

Craig filled 1/3 of a bag with black beans and 2/6 of the same bag with red beans. What fraction of the bag did Craig fill with beans?

A.1/3
B.3/9
C.1/2
D.2/3

Answers

Answer:

D. 2/3

If 2/6 equals 1/3, then 1/3 + 1/3 = 2/3.

Answer:

4/6

Step-by-step explanation:

Make 1/3 into 6 as its denominator.

1 x 2 = 2

3 x 2 = 6

Black beans fill up 2/6 of the bag.

Red beans fill up 2/6 of the bag.

Find out what is the fraction both bags fill up altogether.

2/6 + 2/6 = 4/6

PLEASE help me with this math problem..​

Answers

Answer:

6

Step-by-step explanation:

25 / 10 = 2.5

15 / 2.5 = 6

PLZ HELP!!!!!!!!! IM BEING TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B. 40

Step-by-step explanation:

It looks like a 90-degree angle so...

90 - 30 = 60

60 - 20 = 40

40 would be your final answer.

It’s (B) 40. Why is this in the college section?

The ratio of boys to girls in the 10th grade is 8 to 13. If there are 91 girls in 10th grade, then how many boys are there?

Answers

Answer: There are 56 boys in the 10th grade

Step-by-step explanation:

Step 1

ratio of boys to girls in the 10th grade is 8 :13

Number of girls= 91

To find the number of boys, we first find the total number of boys and girls in the 10th grade

Step 2

Now the total ratio= 8 +13=21

Number of girls = ratio of girls/ total ratio  x  Total number of students

91=13/ 21  x  Total number of students

Total number of students =21 x 91 / 13  =147

Step 3

Therefore Number of boys =ratio of boys/ total ratio  x  Total number of student

8/21 x 147=56

Can you please help me?

Answers

Question 3: y=25000(.94)^t
Question 4: c

perform the indicated operation

1.(3x+8)+4x-3)
2.(7x-8)-(2x+4)
3.(5x2-8x+6)-(3x2-3x+2)

Answers

Answer:

1. 7x+5 2.5x-12. 3.2x^2+5x+4

Step-by-step explanation:

if you look up mathaway and put the equations in. it will tell you all the steps. hope this helps.

Answer:

hmmmmmmm

Step-by-step explanation:

o9ooooooooooooooo

Find the surface area of the composite solid. 6 ft 4 ft 1 5 ft 5 ft​

Answers

Sa Of Rectangular Prism - 65

Sa Of Pyramid - 85

TOTAL SURFACE AREA - 150

under 50 yards how much is a touchdown worth in flag football?

Answers

Answer:

6

Step-by-step explanation:

find the height of a cone with a volume of 21ft and a radius of 4ft​

Answers

here's the solution,

volume of cone :

=》

[tex]v = \dfrac{1}{3} \pi {r}^{2} h[/tex]

=》

[tex]21 = \dfrac{1}{3} \times 3.14 \times4 {}^{2} \times h [/tex]

=》

[tex]h = \dfrac{21 \times 3}{3.14 \times 16} [/tex]

=》

[tex]h = 1.253[/tex]

height = 1.25 ft (approximate)

please help find median and mean of each data display.

Answers

Answer:

median: 60

mean:44

Step-by-step explanation:

80-20=60

30+50+80+40+20=220

220÷5=44

Use the series below to answer the following questions.

Answers

Answer:

a1=4, r=5, n=6

Step-by-step explanation:

got it correct on edge

b= first option

c= 15,624

Answer:

a1=4, r=5, n=6

b= first option

c= 15,624

Step-by-step explanation:

It is right on edge

Find the equation of the line shown

Answers

Answer:

y=x+1

Step-by-step explanation:

i hope this helps :)

Answer:

y=x+1

Step-by-step explanation:

The gradient is y2-y1:x2-x1 which is 9-1:8-0 ; for example using two points on the line. The gradient is 1, so y=x is the first thing we get. Then you will use a point that is on the line in that equation. For example: y=x, 2=1. So it cannot be like this so we have to add 1. 2=1+1, therefore y=x+1

Solve for x. Round your answer to the nearest tenth.

Answers

Answer:

15.9

Step-by-step explanation:

6^2 + x^2 = 17^2

36 + x2 = 289

x2 = 253

x= √ 253 = 15.9

Steffie makes a scale drawing for a crate with a scale factor of 1 to 3 the dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1 to 9

Answers

Answer:

The length is 5 inches and the width is 4 inches

Step-by-step explanation:

Steffie makes a scale drawing for a crate with a scale factor of 1:3. The dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:9. What are the dimensions of the builder's scale drawing? A. The length is 4 inches and the width is 5 inches B. The length is 45 inches and the width is 36 inches. C. The length is 5 inches and the width is 4 inches. D. The length is 36 inches and the width is 45 inches

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

dimensions of the image steffie scaled = (15 x 3) by (12 x 3) = 45 by 36

Builders scaled image = (45 / 9) by (36 /9) = 5 by 4

can someone plz help answer this?

Answers

Answer is 33 since the scale factor is 1.5, you get that by dividing similar sides. An example would be SO is equal to side GN so dividing 39 and 26 together would get you 1.5 and you would use this to find the missing length.

Solve for x.
3x = 8x + 10
X =
Please help

Answers

Answer:

x= 0

Step-by-step explanation:

1. Combine like terms  

2. Subtract 18x from both sides of the equation

3. Simplify

Solution

= 0

Which of the following are examples of radical numbers? Select all that apply.


Ill give the brainlest to the first correct answer

Answers

Answer:

√5 + √36

√9 + √24

3√12  

These are radicals

Step-by-step explanation:

[tex]\sqrt{4}+\sqrt{16}=\sqrt{2*2}+\sqrt{4*4}=2+4 = 6[/tex]

Not radical

[tex]\sqrt{5}+\sqrt{36}=\sqrt{5}+\sqrt{6*6}=\sqrt{5}+6[/tex]

It is a radical

[tex]\sqrt{9}+\sqrt{24}=\sqrt{3*3}+\sqrt{2*2*2*3}=3+2\sqrt{2*3}=2+2\sqrt{6}[/tex]

It is radical

[tex]2*\sqrt{4}=2*2=4[/tex]

Not radical

[tex]\sqrt{49}*\sqrt{81}=\sqrt{7*7}*\sqrt{9*9}=7*9=63[/tex]

Not radical

[tex]3\sqrt{12}=3\sqrt{2*2*3}=2\sqrt{3}[/tex]

Radical

Mguel sells nsurence. He earns a 6% commision on each sell he makes. Miguel has a goal of earning $600 in commisions. Miguel needs to sell what Worth of nsurence to meet his goal.

Answers

Answer:

$10,000= sales

Step-by-step explanation:

Giving the following information:

Commission rate= 6%

Desired total earnings= $600

To calculate the sales level required to reach the objective, we need to use the following formula:

Desired earning= commission rate*sales

600= 0.06*sales

600/0.06= sales

$10,000= sales


A boy pulls the handle of a lawn mower at an angle of 30° to the horizontal with a force
of 120N. Calculate the work done when the mower moves through a distance of 12.8m.
(3mks)​

Answers

If the mower is pulled over a flat horizontal surface, then first get the component of the force in the direction of the mower's displacement:

(120 N) cos(30°) = 60 √3 N ≈ 103.923 N

Then the work done by the boy on the mower over a distance of 12.8 m is

(103.923 N) (12.8 m) ≈ 1330.2 Nm ≈ 1330 J

Select the correct answer. There are 500 sheets of paper in one ream. The counter on a copier says that 23,500 copies have been made. How many reams of paper were used? A. 47 reams B. 235 reams C. 470 reams D. 2350 reams

Answers

Answer:

A. 47 reams

Step-by-step explanation:

Total copies counted by the copier = 23,500 copies

Number of sheets in a ream = 500 sheets

How many reams of paper were used?

Number of reams of paper used = Total copies counted by the copier / Number of sheets in a ream

= 23,500 / 500

= 47

Number of reams of paper used = 47 reams

Show all work to factor x4 – 10x^2 + 9 completely.

Answers

Answer:

(x+1)(x-1)(x+3)(x-3)

Step-by-step explanation:

it is a fourth degree trinomial

1) find two number whose sum is -10 and whose product is 9

the two numbers are -1 and -9

2) write the trinomial as a multiplication in this way

(x^2-1)(x^2-9)

3) the two factors are both a difference of tho squares.

so we can rewrite it as

(x+1)(x-1)(x+3)(x-3)

Tom spends 30% of his monthly budget on rent. His total monthly budget is 3,000 how much does Tom spend on rent?

Answers

Answer:

Total rent= $900

Step-by-step explanation:

Giving the following information:

Total monthly budget= $3,000

Percentage of rent in the budget= 30%

To calculate the monetary value paid in rent, we need to use the following formula:

Total rent= percentage of rent paid*total monthly budget

Total rent= 0.3*3,000

Total rent= $900

HELPPP WHAT IS THE ANSWER DONT SENT A FILE PLZ EXPLAIN STEP BY STEP PLZ I DINT HAVE A LOT OF TIME

Answers

Answer:

(x+3, y+2)

Step-by-step explanation:

choose a letter: let's use points A and A'

A: (-3, 3)

A': (0, 5)

the rule would be (x+3, y+2) because (-3+3, 3+2) = (0,5)

Try it on another point:

B: (-4, 0)

B': (-4+3, 0+2) = (-1, 2) which checks out!

HEWP KJ HLIXN Z


A:LMV

Answers

Answer:

i dont know why u deleted my answer- but ok

Step-by-step explanation:

Answer:

a hope it helps make brainlliest

if I have 200 apples and if I gave my friend 60 apples then how much apple I have​

Answers

Answer:

[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ♡ ANSWER࿐ ♡ }} \mid}}[/tex]

Total number of apples = 200

Apples you gave to your friend = 60

Apples left = ?

Apples left

[tex] = 200- 60 \\ = 140[/tex]

✏ You will have 140 apples left.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Answer: 140 apples

Step-by-step explanation:

If you start off with 200 apples, but then give 60 of them, you would subtract 60 from 200.

200 - 60 = 140

You would be left with 140 apples.

what is the slope of the line?

Answers

Answer: -3/2

Step-by-step explanation:

rise / run . the line is decreasing vertically by 3 and increasing horizontally by 2.

The ages of the employees at Solar Systems, Inc. Is normally distributed with a mean of 32.7 years and a standard deviation of 1.8 years. What percentage of employees at Solar Systems, Inc. Are younger than 30 years old? Round your answer to the nearest tenth of a percent.

Answers

Answer:

6.7%

Step-by-step explanation:

Mean = 32.7

Standard deviation = 1.8

Percentage of employees younger Than 30 years

Obtained the Standardized age, x < 30

Z = (x - mean) / standard deviation

Z = (30 - 32.7) / 1.8

Z = - 2.7 / 1.8

Z = - 1.5

Obtain the probability :

Using a Z probability calculator or standard normal table :

P(Z < - 1.5) = 0.066807

0.066807 * 100% = 6.7%

Find the volume of the composite figure. Select the correct
numbers into the boxes to complete the answers.
7 ft
4 ft
4 ft
11 ft
7 ft

Volume of rectangular prism:

Volume of the triangle prims:

Answers

Answer:

the volume of rectangular prism is 11 ft.

the volume of triangle prism is 7 ft.

HELP PLZ 20 POINTS!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the correct function is linear

Step-by-step explanation:

Answer:

55.4 ft/s

Step-by-step explanation:

The easiest way to do this is to plug it into a calculator. The problem tells us that x is an object that has fallen a certain amount of feet. Then, the problem gives us that the object has fallen 48 feet. We can now plug 48 in for x and you get 55.4

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