solve the equation -x^2+5x+9=0

Answers

Answer 1

-x² + 5x + 9 = 0

On comparing this equation to: ax²+bx+c= 0

We get, a = -1; b = 5; c = 9

Solving by quadratic formula,

x = [-b ± √(b²-4ac)]/2a

=> x = [-5 ± √{5²-4(-1)(9)}]/2(-1)

=> x = [-5 ± √(25-(-36)]/-2

=> x = [-5 ± √(25+36)]/-2

=> x = [-5 ± √61]/-2

=> x = [-5 + √61]/-2 or [-5 - √61]/-2

=> x = (-5/-2) + (√61/-2) or (-5/-2) + (-√61/-2)

=> x = (5/2) + (-√61/2) or (5/2) + (√61/2)

So, x = (5/2) + (-√61/2) or (5/2) + (√61/2)


Related Questions

What’s v=(324pie)(3)

Answers

V=972 pi Have A nice day/night!

If X = 4 and y = -2, the value of 1/2 xy^2 is

Answers

Answer:

[tex]8[/tex]

Step-by-step explanation:

Note that 1/2 xy^2 is, by order of operations, read as [tex]\frac12xy^2[/tex]. If this is not what was intended in the question then please amend it according order of operations.

Plugging the values [tex]x=4[/tex] and [tex]y=-2[/tex] gives

[tex]\frac12xy^2=\frac12(4)(-2)^2=\frac12(4)(4)=\frac12(16)=8[/tex]

200m^4+80m^3+8m^2=0

I got m = 0, -5 but I could be wrong

Answers

Answer:

m= 0, -0.2

Step-by-step explanation:

that's what I got when I did it

Answer:

m = 0m = -1/5m = -1/5

Step-by-step explanation:

200m^4 + 80m^3 + 8m^2 = 0

~Factor

8m²(5m + 1)(5m + 1) = 0

~Set everything to equal 0 and solve

8m² = 0 → m² = 0 → m = 0

5m + 1 = 0 → 5m = -1 → m = -1/5

5m + 1 = 0 → 5m = -1 → m = -1/5

Best of Luck!

what is 11.3 minus 2.564

Answers

the answer would be 8.736

A pole that is 3 m tall casts a shadow that is 1.23 m long. At the same time, a nearby building casts a shadow that is 42.75 m long. How tall is the building? round your answer to the nearest meter.

Answers

Answer:

Hello,

Just using the theorem of Thalès,

Step-by-step explanation:

Let say h the hight of the building

[tex]\dfrac{h}{3} =\dfrac{42.75}{1.23}\\\\h=104.268296...\approx{104(m)}[/tex]

Is the number 7 included in the following interval: (2,7] *

Answers

Answer:

yes number 7 is included in this interval .

............

1. Find the volume of the shipping box using the two methods and show your work plzzzzzzzz i neeeeeeeeeeeeeed help

Answers

Step-by-step explanation:

Measure the width, length and height of the shipping box in inches. Multiply the width, length and height of the box to calculate its volume in cubic inches. For example, if the box is 20 inches wide, 24 inches long and 16 inches high, then the volume is (20)(24)(16) = 7,680 cubic

Answer:

The volume of the shipping box would be 36 9/16

Step-by-step explanation:

One method to find the volume of the shipping box would be (l)(w)(h)

one we plug in our dimensions the equation would become 3 1/4 x 3 x 3 3/4

To simplify this we would first

Multiply

3 1/4 x 3 x 3 3/4 = 39/4 x 3 3/4

The bolded parts are the pieces we are working on

3 1/4 as an improper fraction is 13/4

13/4 x 3 = 13 x 3/4 = 39/4

- The second step would be to

Convert the mixed number to an improper fraction.

3 3/4  = ( 3 × 4 ) / 4 + 3/4 = 12 + 3 / 4 = 15/4

Now we have to Multiply

39/4 x 15/4 =  39 x 15 / 4 x 4 = 585/16

Lastly, we have to simplify

585/16 = 36 9/16

Round 685,135 to the nearest ten thousand.
plz help me

Answers

Answer:690,000

Step-by-step explanation:The number 8 is the 10th thousand digit, and the number after 8 is larger than 1000/2 (500), therefore, the answer is 690,000

Carmen Abdul and David sent a total of 78 text messages over their cell phones during the weekend . Abdul sent 10 fewer messages then Carmen . David sent two times as many messages as Abdul how many messages did they each send?

Answers

Answer:

Carmen:27

Abdul:17

David=34

Step-by-step explanation:

Carmen+Abdul+David = 78

Carmen-Abdul=10

David=2Abdul

Carmen=Abdul+10

Carmen+Abdul+David = Abdul+10+Abdul+2Abdul=78

4Abdul=68

Abdul = 68/4=17

Carmen = 17+10=27

David = 2 * 17 = 34

27+17+34=78

please help brainliest to correct answer

Answers

Answer:

Question to number 6 is-3

Question to number 7 is 3

Question to number 8 is 2 to the second power

Step-by-step explanation:

please correct me if I’m wrong and for number 8 I am correct it’s just I didn’t know how to put the little 2 on top of the big one

Step-by-step explanation:

question 6 is - 3

question 7 is 3

question 8 is 4

Please help!!
A) In a movie, a mad scientist enlarges a cow to 100 times its normal size. How much stronger would its legs be than a normal cow?
B) How many times more would it weigh than a normal cow?
C) Can you see how results A and B would yield a cow that would collapse under its own weight?

Answers

Answer:

100 times everything.

Step-by-step explanation:

If the cow is 100 times larger than its normal size, obviously everything else should be 100 times stronger and heavier.

Trisha bought a carton of orange juice. She drank 1/3 of the carton on Monday and 5/12 of the carton on Tuesday. What fraction of the carton did Trisha drink?

Answers

Answer:

9/12 or 2/3

Step-by-step explanation:

Make both fractions have the same denominator by finding their least common multiple

1x12 = 12                1x3 = 3

2x6 = 12                3x1 = 3

3x4 = 12

4x3 = 12

6x2 = 12

12x1 = 12

In which case it would be 12.

1/3 would be 4/12

5/12 + 4/12 = 9/12

which is also 2/3 if your teacher wants the simplest answer

Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 2 meters, as shown below:

A seesaw is shown with one end on the ground and the other in the air. The seesaw makes an angle of 30 degrees with the ground. The height of the seesaw from the ground, at the other end, is labeled 2 meters.

What is the maximum length of the seesaw?

3 meters
3.5 meter
4 meters
4.5 meters

Answers

You are giving the angle and opposite leg.

Using the law of sines:

Sin(angle) = opposite leg / hypotenuse

Sin(30) = 2/ hypotenuse

Hypotenuse = 2/sin(30)

Hypotenuse = 4 meters

The maximum length of the seesaw is : (C). 4 meters

Meaning of Maximum length

Maximum length can be defined as the total distance between two point in consideration.

Maximum length can also be said to be the total sum of all the length along a distance.

In the case above, the hypotenuse side is the maximum length.

In conclusion, The maximum length of the seesaw is : 4 meters

Learn more about  maximum length : https://brainly.com/question/16172081

#SPJ2

the length of a piece of steel is 10 metres and its width is 4 metres. What is the ratio of its length to width?​

Answers

Answer:

10:4

or

5:2

Step-by-step explanation:

274,635 rounded to the nearest thousands

Answers

275000 is your answer

hope it help

Please help me ASAP! I appreciate it!!!!!

Answers

Answer:

Step 5: he simplified incorrectly

Step-by-step explanation:

he was supposed to add 9.8 to -11.8, which would give him - 2. Instead he added 9.8 as if it were a negative number.

hope this helps! if you have any questions, let me know!

Mai is kayaking on a river that has a current of 2 miles per hour. If r represents her rate in calm water, then (r + 2) represents her rate with the current, and (r – 2) represents her rate against the current. Mai kayaks 2 miles downstream and then back to her starting point. Use the formula for time,
t
=
d
r
t=
r
d

, where d is the distance, to write a simplified expression for the total time it takes Mai to complete the trip.


4
(
r
+
2
)
(
r

2
)
h
o
u
r
s
(r+2)(r−2)
4

hours

4
r
(
r
+
2
)
h
o
u
r
s
(r+2)
4r

hours

4
r
(
r
+
2
)
(
r

2
)
h
o
u
r
s
(r+2)(r−2)
4r

hours

4
(
r

2
)
h
o
u
r
s
(r−2)
4

hours

Answers

Answer:

Plese explain your answer properly

Step-by-step explanation:

Answer:what is the answer

Step-by-step explanation:

Simplify: y^-3

a) 3/y
b) - 1/y^3
c) -3y
d) 1/y^3

Answers

Answer:

1/y^3

Step-by-step explanation:

We know that a^-b = 1/a^b

y ^-3 = 1/y^3

Please Help me! I will mark brainliest for correct answer!!!

Answers

Answer:

y=2/3x+1

Step-by-step explanation:

help me plzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

ST=SM+MT
ST=x+12+8x-2
ST=9x+12-2
ST=9x+10

Hope my answer helped u :)

GIVING 15 POINTS PLS FAST

Drag the tiles to the boxes to form correct pairs.

Match each addition operation to the correct sum.

-24 8 + 30

131.87

28.98+(-52.22)

65

45%+39

-23.24

56.75 +75.12

Reset

Next

Next

Answers

Answer:

Hope this helps! All you needed to do was add and subtract. Go through the slides, I added the step by step explanation, as well as the final table which contains the answers.

The value of the expressions are:

24(5/9) +30(7/9) = 6(2/9)

45(2/9) +39(3/9) = 84(5/9)

28.98 + (-52.22) =-23.24

56.75 + 75.12 = 131.87

We have,

Expressions:

-24(5/9) +30(7/9)

Simplifying the fractions.

This can be written as,

= (-24 + 30) +(-5/9 + 7/9)

= 6 + 2/9

= 6(2/9)

45(2/9) +39(3/9)

= (45 + 39) + (2/9 + 3/9)

= 84 + 5/9

= 84(5/9)

28.98 + (-52.22)

= 28.98 - 52.22

= -23.24

56.75 + 75.12

= 131.87

Thus,

The value of the expressions are:

24(5/9) +30(7/9) = 6(2/9)

45(2/9) +39(3/9) = 84(5/9)

28.98 + (-52.22) =-23.24

56.75 + 75.12 = 131.87

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ4

Find the value of x to the nearest tenth of a degree.
20.4
21.8
42.9
68.2

Answers

Answer:

Answer is 20.4 .........

The answer is 20.4 because i also got it right

correct answer gets brainliest!
find two expressions whose difference is 3x + 4​

Answers

Answer:

(7x+4) and (4x)

Step-by-step explanation:

The two expressions are (7x+4) and (4x)

The perimeter of a rectangular field is 368 yards. If the length of the field is 98 yards, what is its width?

Answers

Answer:

86 = w

Step-by-step explanation:

The perimeter of a  triangle is

P = 2(l+w)

368 = 2(98+w)

Divide each side by 2

368/2 = 2/2(98+w)

184 = 98+w

Subtract 98 from each side

184-98 = 98+w-98

86 = w

50% of 80
50% of 48
50% of 15
25% of 120
25% of 90

Answers

1. 40
2. 24
3. 7.5
4. 30
5. 22.5

Simplify the F = ABC + A’B + ABC

Answers

Well, from what I can tell, we just have to combine like terms, meaning that all of the terms that have the same variables can be combined:

F = (ABC + ABC) + A'B

F = 2ABC + A'B

If that's not what you meant, or if you have questions, feel free to let me know! :)

The question is attached, please help.

Answers

Answer:draw a triangle

Step-by-step explanation:

the degree of 3x to the power of 2 y to the power of 4 + 7x to the power of 2 y to the power of 2 -8 is​

Answers

Answer:

degree = 6

Step-by-step explanation:

3x^2 y^4 + 7x^2y^2-8  = 6

other topics will help in such videos;

Bias

Conjunction

Area Of Triangle Formula

Cayley Hamilton Theorem

Statistics

Surface Area of Cuboid

Boolean Algebra

Quadrant

Continuous Integration

Real Numbers

81 people passed and 27 failed their functional skills level 2 exams write this as in its simplest form

Answers

Answer:

81+27= candidates

candidates-37=81

Solve the formula for the given variable.
-2x + 6 = -3x
Help meee

Answers

Answer:

x = -4

Step-by-step explanation:

I have a picture because Im bad at explaining

Step-by-step explanation:

- 2x + 6 = - 3x. collect the like terms

- 2x + 3x = - 6

x = - 6

I hope this answers your question

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