What are the roots of the equation x^2+18x+90=0x
2
+18x+90=0 in simplest a+bia+bi form?

Answers

Answer 1

[tex]x^2 +18x +90 = 0\\\\\text{Apply quadratic formula,}~~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a} \\\\\text{In this case, a = 1 , b = 18 and c = 90.}\\\\\implies x = \dfrac{-18 \pm \sqrt{18^2 - 4 \cdot 1 \cdot 90}}{2(1)}\\\\\implies x = \dfrac{-18 \pm \sqrt{-36}}2\\\\\implies x = \dfrac{-18 \pm 6i}2\\\\\implies x= -\dfrac{18}2 \pm \dfrac{6i}2\\\\\implies x= -9 \pm 3i[/tex]


Related Questions

a
Joshua is flying a kite, holding his hands a distance of 3.75 feet above the
ground and letting all the kite's string play out. He measures the angle of
elevation from his hand to the kite to be 28°. If the string from the kite to his
hand is 140 feet long, how many feet is the kite above the ground? Round
your answer to the nearest hundredth of a foot if necessary.

Answers

Answer:

Step-by-step explanation:

Assuming the ground is level

h = 3.75 + 140sin28

h = 69.47601...

h = 69.48 ft.

The height of the kite above the ground is 69.48 ft

Right angle triangle:A right angle triangle is a triangle that has one of its angle as 90 degrees. Therefore,

Using trigonometric ratio, the opposite side of the triangle formed can be calculated as follows:

sin 28° = opposite / hypotenuse

sin 28° = x / 140

x = 140 sin 28

x = 140 × 0.46947156278

x = 65.72601879

x = 65.73

The height of the kite from the ground = 65.73 + 3.75 = 69.48 feet

learn more on right triangle here: https://brainly.com/question/25892318

Matt had instruction to take a box of nailsn

Answers

Answer:

2960 mod 9 = 8. So the classrooms he can take it to are 8, 17, 26, ... 17 is among these so he is correct

Step-by-step explanation:

I really don't know cause there is not enough explanation

Rewrite the expression with rational exponents.

Answers

Answer:

([tex]\sqrt[5]{x}[/tex])^7

Step-by-step explanation:

to cancel out the radical you do the exponent inside and divide it by the out side one so it will be 7/5 so make it x to the expontent of 7/5 and to do rational exponets it will be (^5radicalx)^7

What is meant by a circle's diameter?

Answers

Answer:

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Step-by-step explanation:

please mark my answer in brainlist

Answer:

Step-by-step explanation

F u

A positive real number is 2 less than another. When 4 times the larger is added to the
square of the smaller, the result is 16. Find the numbers.

Answers

Answer:

by how i was taught its 2

Step-by-step explanation:


If your gross monthly income is $2,500. What is your net monthly income after the government deducts the following percentages for taxes: Federal 25%, Indiana 3.4%, Social Security
6.1%, Medicare 1.4% and Local tax 1%.

Answers

Answer:

$1,577.50

Step-by-step explanation:

25+3.4+6.1+1.4+1= 36.9%

2,500*0.369 = 922.5

2500-922.5= 1577.5

WILL GIVE BRAINLIEST THANK AND FIVE STAR!
Which equation is equivalent to 32x−4y+1=0?

y=4x−1y is equal to 4 x minus 1

y=−38x−14y is equal to negative 3 eighths x minus 1 fourth

y=38x+14y is equal to 3 eighths x plus 1 fourth

y=−4x+1

Answers

Answer:

y=−38x−14y is equal to negative 3 eighths x minus 1 fourth is the answer.

Y= -38x-14y is equal to negative 3 eighths x minus 1 fourth

Scott bought
1
6
ton of rocks. Scott and 9 of his neighbors shared the rocks equally. What fraction of a ton of rocks will each person get?

Answers

Answer:

The answer is 16/10 or 1.6

Step-by-step explanation:

I'm guessing Scott bought 16 ton of rocks for this question since the question was written weirdly.

We know that Scott will share his 16 ton of rocks with 9 neighbors and himself.

Which means that the answer is 16/10 because Scott is gonna divide his 16 ton of rocks with 10 people. (9 neighbors and himself)

Hope this helps! :)

૮ ・ﻌ・ა

classyfying triangles unit 4

Answers

Answer:

What do you mean by that?

Step-by-step explanation:

Answer:

Is there more to the question? or a link/ picture you forgot to add?

Step-by-step explanation:

Find the length x. Please help

Answers

Step-by-step explanation:

# easy learning

good luck and god Blees you

Ok done. Thank to me:>

what is the answer this math problem?​

Answers

Answer:

HLO Mate here is ur answer

It is desired to pile some logs in layers so that the top layer contains one log, the next layer contains two logs, the next layer contains three logs, and so on; each layer containing one more log than the layer on top of it. There are 190 logs. Can all the log be used in such a grouping, and if so, how many logs are in the bottom layer?​

Answers

Answer:

Yes all of the logs can be used in such a grouping.

We'll have 19 logs in the bottom row (and have 19 rows)

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

Explanation:

Let n be the number of layers. Let T(n) represent how many logs there are total.

If you have 1 layer, then you have 1 log. So we can say that T(1) = 1.If there are n = 2 layers, then we have 1 log on top of two other logs, which leads to 1+2 = 3 logs total. This shows that T(2) = 3.If there are n = 3 layers, then we have 1 log on top of 2 which are on top of 3 at the very bottom. We have 1+2+3 = 6 logs total. So T(3) = 6.Having n = 4 layers gives 1+2+3+4 = 10 logs. So T(4) = 10Having n = 5 layers gives 1+2+3+4+5 = 15 logs. So T(5) = 15

This process continues for however long you like. The sequence 1,3,6,10,15 is the set of triangular numbers, since the logs form a triangular or pyramid shape when stacked this way. To get the nth value in the triangular number sequence, use this formula

T(n) = 0.5*n*(n+1)

---------------

For example, let's say we wanted to find how many logs there were in the fifth layer

T(n) = 0.5*n*(n+1)

T(5) = 0.5*5*(5+1)

T(5) = 15

This matches from earlier.

The purpose of bringing in a formula is to see if we can get T(n) = 190 for some integer n.

-------------------

T(n) = 0.5*n*(n+1)

190 = 0.5*n*(n+1)

190*2 = n(n+1)

380 = n^2+n

0 = n^2+n-380

n^2+n-180 = 0

Applying the quadratic formula will lead to the two solutions: n = -20 and n = 19. We ignore the negative value of n as we can't have a negative number of rows. Therefore, n = 19 is the only valid solution here.

If we wanted to stack 190 logs in this triangular pyramid fashion, then we'll need to have 19 rows. The bottom row will have 19 logs.

----------

Check:

1+2+3+4+5+6+7+8+9+10 = 55

11+12+13+14+15+16+17+18+19 = 135

55+135 = 190

Or you could say,

T(n) = 0.5*n*(n+1)

T(19) = 0.5*19*(19+1)

T(19) = 190

Either way, the answer is confirmed.

Bruce walks 3/4 mile in 1/5 what is his spewd miles per hour

Answers

Answer: Bruce's speed is 3.75 mph(miles per hour).

what is the area of 146km 6.3km and 5.4km

Answers

Answer:

Step-by-step explanation:

Ask Siri

Answer:

Step-by-step explanation:

Lucas is walking on a circular path modeled by the equation (x + 8)^2+ (y - 3)^2= 64 and Noal is walking on another circular path modeled by the equation (x - 10)^2 + (y - 3)^2= 100, where their
distances are given in meters. What is the maximum distance between the walkers at any given time?
18 meters
21 meters
36 meters
40 meters
pls help guys

Answers

The maximum distance between the walkers at any given time is (a) 18 meters

Lucas' equation on the circular path is given as:

[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]

Noah' equation on the circular path is given as:

[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]

The equation of a circle is represented as:

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

Where:

Center = (a, b)Radius = r

So, we rewrite both equations as follows:

[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]

[tex](x + 8)^2 + (y - 3)^2 = 8^2[/tex]

[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]

[tex](x - 10)^2 + (y - 3)^2 = 10^2[/tex]

The radii of both equations are:

[tex]r_1 = 8[/tex]

[tex]r_2 = 10[/tex]

The maximum distance between the walkers at any given time is the sum of the radii

[tex]r = r_1 + r_2[/tex]

So, we have:

[tex]r = 8 + 10[/tex]

This gives

[tex]r = 18[/tex]

Hence, the maximum distance between the walkers at any given time is (a) 18 meters

Read more about circle equations at:

https://brainly.com/question/1559324

Answer:

36 meeters

Step-by-step explanation:

trust me bro

Name the triangle as described

Answers

Answer:

scalene triangle

Step-by-step explanation:

6 times the sum of a number and ten is 60
What is the expression for this

Answers

Answer:

The equation is 6(x + 10) = 60, and the answer to the equation is 0

Step-by-step explanation:

Start by formatting the problem as [tex]6(x+10)=60[/tex]. Then, use the distributive property so that the problem is [tex]6x + 60 = 60[/tex]. After this, subtract 60 from both sides to isolate the variable, making the problem [tex]6x=0[/tex]. Finally, divide both sides by 0, which will get you an answer of [tex]x=0[/tex].

the degree of the polynomial p³q²-6p²q⁵+p⁴q⁴​

Answers

Answer:

idioet.

Step-by-step explanation:

help!!?1!1!1!1!1!1!1?1?1!?1?1!1?1!1?1?1?1?1??1?1!1

Answers

Joshua: 143.826 grams

Phoebe: 144 grams

Oliver: Unsure, but for sure what shouldn't happen

Joshua (advantage): It is actually good to include decimals into your information because more information helps assist in experiments with proper results but you must also not include unnessessary information

Phoebe (disadvantage): You should include decimals in information, especially relating to scale weighing and her method lacks decimals

Oliver (disadvantage): This experiment already involves grams and therefore you shouldn't change the form of measurement unless it requests for it to happen

Joshua: 143.826 grams (advantageous)

Phoebe: 144 grams (Disadvantage)

Oliver: Disadvantage

What is Rounding off?

Changing a number's digits so that it approximates a value is known as rounding a number. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Joshua:

Although it is beneficial to add decimals in your data since more information aids in experiments producing accurate results, you should avoid including unnecessary information.

Phoebe's method lacks decimals, which is a drawback because it pertains to scale weighing and you should include them in information.

Oliver : As this experiment already uses grammes, you shouldn't modify the units of measurement until specifically instructed to do so.

Learn more about Rounding off here:

https://brainly.com/question/13391706

#SPJ5

Which values from the given replacement set make up the solution set of this inequality?

5m≤10; {0, 2, 4, 6}


{0, 4, 6}

{2}

{0, 2}

{2, 4, 6}

Answers

Answer:

the solution to the inequality is m[tex]\leq[/tex] 2, so the solution set can include 2 and 0 since it is less then 2. but the rest do not work. so the answer is {0,2}

Step-by-step explanation:

5m[tex]\leq[/tex]10

divide by 5 on both sides and you are left with

m[tex]\leq[/tex]2

only 2 and 0 are less than or equal to 2

Hope this helps!

Which value of x makes the equation true? 1/5 (2x-10) + 4x = -3(1/5x+4)

A -1/5
B 1/5
C 2
D -2

Answers

Answer:

Step-by-step explanation:

1/5 (2x - 10) + 4x = -3(1/5x + 4)

a bit ambiguous, I'll ASSUME you mean

1/5 (2x - 10) + 4x = -3(x/5 + 4)

     2x/5 - 2 + 4x = -3x/5 - 12

                      5x = -10

                      x = -2

My answer being one of your options makes me think my assumption was correct.

Lisa has $200 in her savings account. This is 40% of the money she needs to take a weekend trip. What is the total cost of the trip she wants to take?

Answers

The total cost of the trip Lisa wants to take over the weekend is $500.

Let the total cost of the trip be T.

Given the following data:

Savings account balance = $200Percent of trip expenses = 40%

To determine the total cost of the trip Lisa wants to take over the weekend:

Since the percentage of the money in Lisa's savings account is equal to forty percent (40%) of what is required for the total cost of the trip. Thus, we would multiply the total cost of her trip by 40% and equate it to $200.

Total cost of her trip:

[tex]\frac{40}{100} \times T = 200\\\\0.4T=200\\\\T=\frac{200}{0.4}[/tex]

Total cost, T = $500.

Read more: https://brainly.com/question/2021001

this can explain everything . please help

Answers

35 - 45 / 9 x 5

Divide 45 by 9 to get 5.

35 - 5 x 5

Multiply 5 and 5 to get 25.

35 - 25

Subtract 25 from 35 to get 10.

= 10

Evaluate 2/3p + 3 when p = 3/5=

Answers

Answer:

so 2/3X 3/5 + 3

10 + 9 / 15 by LCM method

so 19/15 + 3 = 19/15 + 45/15 = 64/15

hope it helps

Step-by-step explanation:

Answer:

3 2/5

Step-by-step explanation:

2/3 (3/5) + 3

Multiply

6/15 + 3

Reduce fraction

2/5 + 3 = 3 2/5

x(5)+2=244
help pls
(^_^)​

Answers

Simplify both sides of the equation

5x+2=244

Subtract 2 from both sides

5x+2−2=244−25x=242

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{242}{5} [/tex]

Answer

[tex] \: x = \dfrac{242}{5} [/tex]

OR

[tex] \: x = 48.4 [/tex]

The solution to the given problem is:

48.4

To find the value of x, one would have to spread out the terms.

5x+2 = 244

Then we would make x the subject formula

5x= 244-2

5x=242

Divide both sides by 5 (value of x)

x= 242/5

Therefore, the value of x is  48. 4

Read more about algebra here:

https://brainly.com/question/19566504

h(r) = r^2 + 11r - 26
1) What are the zeros of the function?
Write the smaller r first, and the larger r second.
smaller s =
larger r =
2) What is the vertex of the parabola?

Answers

The zeros of the function h(r) = r² + 11r - 26 are r = -13, r = 2 and the vertex is (-11/2, -225/4).

What are the zeros and vertex of the function?

Given the function in the question:

h(r) = r² + 11r - 26

To find the zeros of the function h(r) = r² + 11r - 26, we need to solve the equation h(r) = 0.

Using factoring:

r² + 11r - 26 = 0

Find two numbers whose sum is 11 and whose product is -26.

The numbers are -2 and 13.

Factor the equation:

(r - 2)(r + 13) = 0

Hence:

r - 2 = 0  and r + 13 = 0

Therefore, smaller r = -13, larger r = 2.

Next, we determine the vertex of the function:

Using the formula for the x-coordinate of the vertex, which is given -b/2a.

Here, the coefficient of r² is 1 (a = 1),

The coefficient of r is 11 (b = 11).

Substituting these values into the formula, we get:

r = -b/2a

= -11/( 2×1 )

= -11/2

The x-coordinate of the vertex is -11/2.

To find the y-coordinate, we can substitute r = -11/2 value back into the function:

h(r) = r² + 11r - 26

h(-11/2) = (-11/2)² + 11(-11/2) - 26

= 121/4 - 121/2 - 26

= 121/4 - 242/4 - 104/4

= (121 - 242 - 104)/4

= -225/4

Therefore, the vertex is (-11/2, -225/4).

Learn more about quadratic equations here:https://brainly.com/question/4038687

#SPJ1

Question is in image
In the diagram below, ST is parallel to PR

Answers

Answer:

  D.

Step-by-step explanation:

There is nothing in the figure to indicate the triangles are isosceles. This eliminates answer choices A, B, C.

Answer choice D is a required step in the proof, but only gets part of the way. The triangle similarity means ...

  SQ/PQ = TQ/RQ

From here, you need to decompose each of the sides PQ and RQ into parts. Then you can get to the desired relationship.

  (PQ -PS)/PQ = (RQ -RT)/RQ . . . segment sum theorem

  1 - PS/PQ = 1 -RT/RQ . . . . . . . do the division

  -PS/PQ = -RT/RQ . . . . . . . . subtract 1 (subtraction property of equality)

  PS/PQ = RT/RQ . . . . . . . . multiply by -1 (multiplication property of equality)

17. Solve for x: 3xyz
i need help i would be very grateful ty :)

Answers

Answer:

C. x = P/3yz

Step-by-step explanation:

Given equation:

3xyz = P

Solve for x, divide both sides by 3yz:

3xyz/3yz = P/3yzx = P/3yz

Correct choice is C

PLEASE HELP! WILL MARK BARINLIEST IF ANSWER CORRECTLY (Screenshot)

Answers

Answer:

14

Step-by-step explanation:

3+3+4+4 = 14

On a bird-watching trip, Mei and Jackie counted 68 birds.
Of these, 45 of the birds were sparrows. Which value is a
reasonable estimate of the percent of sparrows in the
birds Mei and Jackie counted?
1. 175%
2.140%
3. 70%
4. 90%

Answers

Answer:

The answer is 70% if you round it.

Step-by-step explanation:

45 out of 68 is 66 but if you're rounding it the answer is 70%.

Other Questions
HELP IVE BEEN STUCK ON THE SAME QUESTION NOBODY WILL HELP ME I CANT CALM DOWN HELP ME 23. Cost of Car $23,986 with a 5 year loan at 3% write 0.000046 in scientific notation pls help me asap !!!!! convert 360minutes to hour What is the average dance time per week for Suzette relative to her goal number of hours?Relative to Suzette's goal, her average dance time over the last five weeks is ____ hours. Someone help me with this please, I really need help, and it's due tmrw...PLEASE Select all relations that represent function I WILL GIVE YOU 200 pts please 1. 362. 8 323. 15 254. (3i) (4i)(5i)5. (7i)2(6i)6. 427. 558. 899. (5 2i) + (13 8i)10. (7 6i) + (9 + 11i)11. (12 + 48i) + (15 + 21i)12. (10 + 15i) (48 30i)13. (28 4i) (10 30i)14. (6 4i) (6 + 4i)15. (8 11i) (8 11i)16. (4 + 3i) (2 5i)17. (7 + 2i) (9 6i)18.19.27 820.321.26 + 522 41 + 3Solve each equation.22. 52 + 35 = 023. 2 2 + 10 = 024. 4 2 + 76 = 025. 2 2 6 = 026. 5 2 65 = 027. 4 2 + 12 = 03Find the values of and m that make each equation true.28. 15 28i = 3 + (4m)I29. (6 ) + (3m)i = 12 + 27i30. (3 + 4) + (3 m)i = 16 3i31. (7 + m) + (4 10)i = 3 6i32. ELECTRICITY The impedance in one part of a series circuit is 1 + 3j ohms and the impedance in another part of thecircuit is 7 5j ohms. Add these complex numbers to find the total impedance in the circuit.33. ELECTRICITY Using the formula E = IZ, find the voltage E in a circuit when the current I is 3 j amps and theimpedance Z is 3 + 2j ohms. The Mongolian Giant Sunflower produces seeds that are over 1 inch long, grow up to 18 feet tall, and flowers that are 1 feet wide. Each flower head produces 1,000 seeds. You decide to harvest the seeds at the end of the season so that you can sell them the following spring. If you save 8 flowers for harvesting, how many seeds is that? Write your answer in scientific notation. Write an inequality to represent the graph.(0, 2)-3- 2 - 1789100-15 6(4,-1)-2-3-4-5-6 The cost of holding excess reserves is the interest rate that could have been earned minus the interest rate that is paid on these reserves. If the interest rate is 5% and the interest rate paid on reserves is 2%, the cost of holding on excess reserves is Can you use cheetahs to represent Photosynthesis or Cellular Respiration? CRQ QUESTIONDo you think the office of the president of the United States has too much power,just the right amount of power, or too little power?And why The first term of an arithmetic sequence is 4 and the tenth term is 67.What is the common difference? Show your work or explain your answer. can someone help me with this science assignment solve pls brainliestMarcus has picture with the dimensions of 3 ft wide and 5 ft long. He would like to change the picture using a scale factor of 1/2. What are the new dimensions for the picture and is the new picture a reduction or enlargement. Explain how you know. * Help help help math math Pls help Im failing Ill brainlest Which sentence shows the correct use of a common homophone?Theyre still not finished with the project that was due yesterday.Their are a number of great books about the Civil War in the library.They said they would put away all of there clean clothes before school.I think I saw an entire flock of wild parrots sitting in the trees over their.