If using the method of completing the square to solve the quadratic
equation x2 + 5x – 1= 0, which number would have to be added to "complete the square"?

Answers

Answer 1

Answer:

25/4 or 6.25

Step-by-step explanation:

Given that the general equation of  a quadratic equation is given as ax^2 + bx + c = 0, to complete the square, we subtract c from both sides of the equation and add the square of (b/2a) to both sides.Hence given x^2-5x-19=0, to complete the square, we add (-5/2)^2 to both sides following the illustration given.This is 25/4 or 6.24


Related Questions

Find the volume of the figure.

Answers

Answer:

90 m³

Step-by-step explanation:

Volume of the prism is the product of the base area and the height

Base area is:

A = 1/2*10*3.6 = 18 m²

Volume is:

V = 18*5 = 90 m³

Answer:

Required Answer :-

The base is representing a trapezium.

So,

Area = ½ × 10 × 3.6

Area = 5 × 3.6

Area = 18 m²

Now,

Volume = 5 × Area

Volume = 5 × 18

Volume = 90 m²

[tex] \\ [/tex]

! EASY & CORRECT ANSWER GETS BRAINLIST!


Answers

Answer:

11 = Y+5

Step-by-step explanation:

Answer:

i could be B or A not sure tho

Determine whether 5n2 or 3n will have the greater value when:



a. n = 1

Answers

Answer:

5n2 will have a greater value

Step-by-step explanation:

5n2

5x1x2=10

3n

3x 1= 3

2.
Which set of angle measures can be used to construct a triangle?
A. O 50°, 65°, 75°
B.
45°, 60°, 75°
C
45°, 650, 75°
DO 50°, 45°, 75°

Answers

The answer is B. 45 60 75.
All you gotta do is add all the different options and see which gives you 180 degrees.

An electrician needs to know that the relationship between amps, volts, and resistance is
expressed in the formula V = IR where V is volts, I is amps, and R is ohms. How large a
resistance is needed to produce 8 amps from 184 volts?

Answers

Answer:

R = 23 ohms

Step-by-step explanation:

Start with V = I*R.  Solve for R:  R = V/I

Here I = 8 amps and V = 184 volts, and so

R  = (184 volts) / (8 amps) = 23 ohms

Which is the graph of the following inequality?
X^2 < 4
A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

Answer:

D) graph D

Step-by-step explanation:

x² < 4

x < [tex]\sqrt{4}[/tex] which means x < 2 and x > -2

daniel eats 2/10 of yogurt for breakfast each morning how much yogurt does daniel eats for 3 days

Answers

Answer:

6/10

Step-by-step explanation:

2/10 times 3/1=6/10

hope this helps:) plz mark me brainliest

Answer:

3/5

Step-by-step explanation:

alrighty, so this is a standard rate and multiplication problem. How do we know? Well, because there's a steady rate of 2/10 per day, and for 3 days so:

2/10 x 3 = 6/10

6/10 can be simplified:

6/10 ÷ 2 = 3/5

So Daniel eats 3/5 yogurt over the course of 3 days

hope this helps:)

Help ASAP I really need an answer I don't need links please and if you don't know that answer just don't answer

Answers

Answer:

113

Step-by-step explanation:

note: to find the circumference of a circle using the radius, you use this equation -- 2[tex]\pi[/tex]r. since the radius is 18, you make the equation 2[tex]\pi[/tex]18. that gets you 36[tex]\pi[/tex], which, if put into the calculator, is about 113.

A savings account starts with $980 at a simple interest rate of 5.5%. How much interest will the account earn in 3 years?

Answers

Answer:

Interest = $161.70

Step-by-step explanation:

Formula:

I = Prt

Given:

P = 980

r = 0.055

t = 3

Work:

I = Prt

I = 980(0.055)(3)

I = 53.9(3)

I = 161.7

What are the solutions of ? = 8-52?
o s-ľ57 S + √57
O-5-57
5+57

Answers

Answer:

99,000

Step-by-step explanation:

el 14 es primo ayuda es urgente

Answers

Answer:

no es primo

Step-by-step explanation:

El 14 es un número compuesto. Es divisible por 1, por 2, por 7 y por 14.

A truck requires 35 liters of petrol to travel a distance of
450km.Find
The amount that the truck owner has to pay to travel distance of
1050 km if a liter of petrol costs $2.95.

Answers

Answer:

$240.92

Step-by-step explanation:

From the question,

The distance traveled by the truck is directly proportional to the amount of petrol used.

I.e,

d ∝ v............... Equation 1

d = kv

d/v = k

d₁/v₁ = d₂/v₂............. Equation 2

Where d₁ and d₂ are initial and final distance respectively, v₁ and v₂ are initial and final amount of petrol used respectively.

Given: d₁ = 450 km, d₂ = 1050 km, v₁ = 35 liters

Substitute into equation 2 and solve for v₂

450/35 = 1050/v₂

v₂ = (1050×35)/450

v₂ = 36750/450

v₂ = 81.67 Liters.

If a liter of petrol cost $2.95,

Then,

81.67 liters will cost (81.67×$2.95) = $240.92

Jameson and Quincy each deposit $7,000 into accounts that earn 6% interest, but Jameson earns annual simple interest while Quincy earns annual compound interest. Assuming neither one of them makes any deposits or withdrawals for 60 months, who will have more money in their account after the 60 months?

Answers

Answer:

its B

Step-by-step explanation:

Madison makes $1,800 per month at the salon, but 15% of that amount goes to her rent for her booth. What two numbers can you multiply to find out how much she has after paying her rent?​

Answers

Answer:

well the answer is 120

Step-by-step explanation:

Tell whether each event is impossible, unlikely, as likely as not, likely, or certain. Rolling a number cube and getting a number that is less than 7.

Answers

Answer:

Certain

Step-by-step explanation:

The answer is certain because all the numbers on a cube are less than 7. So it's impossible to get a number more than 7, or equal to 7.

Use the distributive property to expand (simplify): 3(4x - 12yz)

Answers

Answer:

12x -36yz

Step-by-step explanation:

hope this helps!

Hello!

In order to simplify this expression, all we have to do is multiply 3 times the terms inside the parentheses:

3(4x-12yz)

12x-36yz

That's the final answer, because there are no like terms here, so we cannot simplify this expression any further.

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

What is the value of x in this equation?
8x + 40 = 180

Answers

Answer:

17.5  

Step-by-step explanation:

180 = 40+ 8x

140 = 8x

17.5  = x

Answer:

17.5 is the correct answer to the question

Step-by-step explanation:

8x+40=180

8x=180-40

8x=140

X=140/8

X=17.5

Thuli has 8 shells and Nandi has 24 shells.what is the ratio of Thuli 's shells to Nandis​

Answers

the ratio would be 8:24 , 8 to 24, or 8/24 . they all mean the thing but i would recommend 8:24

PLZ HELP QUIK PLZ HELP PLZ

Answers

Answer:

(x,y) = (-2,7)

Step-by-step explanation:

7x+2y=0

9x+4y=10

y = -9x/4 + 5/2

7x+2 (-9x/4 + 5/2) = 0

5x/2 = -5

5x = -10

x = -2

use x and substitute to get y

y = -(9/4) (-2) +5/2 = 7

Calculate the volume of the cylinder giving your answer to 1 decimal. Picture linked. Please I have a math test tomorrow I'll give extra points for explanation!!!

Answers

Answer:

549.5 cm³

Step-by-step explanation:

___________________________________________________________

FORMULA USED IN THE QUESTION :-

Volume of a cylinder whose height is 'h' and radius is 'r' = [tex]\pi \times r^2 \times h[/tex]

___________________________________________________________

According to the question ,

Height of cylinder (h) = 7 cm

Radius of cylinder (r) = 5 cm

Volume of cylinder = [tex]\pi \times 5^2 \times 7 = 3.14 \times 25 \times 7 = 549.5 \: cm^3[/tex]

what are the values of f and d ?

Answers

Answer:

Step-by-step explanation:

1. 6f+45+15=180

6f=180-45-15

6f=130

f=130/6=65/6=21.66666666666666....

2. d=6f=130/6=65/6=21.66666666666666....

(They are vertical angles, opposite angles)

help please ........​

Answers

Answer: C

In vertex form a(x - h)2 + k, values of a indicate the horizontal stretch/compression. From there just knowing that values less than 1 stretch the graph, while values greater than 1 compress it. Graphing it out on your own by simply inputting values into x will make this pretty clear.

Hope this helps!

Will give brainlyest

Answers

Answer:

10 hours

Step-by-step explanation:

320 = 30x + 20

300 = 30x

x = 10

Answer:

10 hours

Step-by-step explanation:

We already have the equation, which is y = 30x + 20. Simply substitute 320 for y, and solve for x.

320 = 30x + 20

First, subtract 20 from both sides.

320 - 20 = 30x

300 = 30x

Now divide both sides by 30.

300/30 = x

10 = x

It will take about 10 hours for Robin to travel 320 miles.

PLS HELP MEEEEE!!!!!! I will give the brain thingy!!!

Answers

Answer:

y=5

Step-by-step explanation:

16-11= 5.

So y must be 5

pls give brainiest

Answer:

answer y-5

Step-by-step explanation:

do 16-11

What is the area of the following composite figure?

60 cm 2
52 cm 2
44 cm 2
36 cm 2

Answers

Answer:

60 is the correct answer

Answer:

44

Step-by-step explanation:

ella deposits $8000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 4 years?

Answers

32,00 I want to say lmk if im wrong

Wendy is helping her mom put candy in 217 giftbagd. Each bag has 7 pieces of candy. She already put 58 pieces of candy in the bags. How many more pieces of candy need to go in the giftbagd

Answers

Answer:

406 pieces. If you multiply 58 times 7 you get 406. 406 divided by 58 is 7.

ANYONE KNOW THISSS NEED HELP ASAPPP CANT FAIL THIS!!!

Answers

i would say s but i dont know

PLEASE HELP I NEED THE POINTS FOR THIS QUESTION, ILL GIVE BRAINLIEST
To qualify as a contestant in a race a runner Has to be the fastest 16% of all applicants. The running times are normally distributed, with a mean of 63 minutes and a standard deviation of 5 minutes. to the nearest minute, what is the qualifying time for the race?

Answers

Answer:

it is within 5 minutes ahead or behind 5 minutes of 64 minutes

let me know if it´s wrong

How many dollars, per candle, did the candle maker raise her price?

Answers

she made 0 dollars because she didn’t even have candles to beginning with oOoOoOoOoOooOo
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