using the method of completing the square to solve the quadratic equation ::
x^2-20x+24=0
which number would have to be added to "complete the square"?

Answers

Answer 1

Answer:

100 should be added to 'complete the squre'

Step-by-step explanation:

[tex] {x}^{2} - 20x + 24 = 0 \\ ( {x}^{2} + 2 \times 10 \times x + {10}^{2}) - {10}^{2} + 64 = 0 \\ {(x - 10)}^{2} - 100 + 64 = 0 \\ {( x - 10)}^{2} - 36 = 0 \\ {(x - 10)}^{2} = 36 \\ (x - 10) = \pm 6 \\ x = 10 \pm 6 \\ x = 10 + 6 \: \: or \: \: x = 10 - 6 \\ x = 16 \: \: or \: \: x = 4[/tex]


Related Questions

Isabella wants the distribution of money spent on advertising to match the distribution of profit gained from each product. If
Isabella has a budget of $22.5 million, how much should she allocate for ads for peripherals, to the nearest hundred thousand
dollars?
a. $9.7 million
b. $7.3 million
c. $4.1 million
d. $2.2 million

Answers

The company's profit in the year 2003 is $3.1 million

What is profit?

Profit is stated as the amount of revenue generated after deduction of all the liabilities. Profit is the money you have left after paying for business expenses. There are three main types of profit: gross profit, operating and net profit.

Given that,

in the year 2000 profit = $2.2 million

Each year increase in profit = 13% =0.13

Total number of year = 2003-2000=3 years

Profit is denoted by

profit = initial profit ( 1 + each year increase)^years

Substituting the values we get

profit=2.2( 1 + 0.13)³

=2.2( 1.13)³

=3.174373

=3.1 million

Therefor , the company's profit in the year 2003 is $3.1 million

Learn more about Profit here

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Answer: Its C

Step-by-step explanation: I got it right

At the party, Aisha and her friends ate 2 \dfrac{1}{2}2 2 1 ​ 2, start fraction, 1, divided by, 2, end fraction pizzas. After the party, there were 1 \dfrac{1}{8}1 8 1 ​ 1, start fraction, 1, divided by, 8, end fraction pizzas left. How many pizzas were there at the start of the party?

Answers

Answer:

[tex]3\dfrac{5}{8}[/tex] pizzas.

Step-by-step explanation:

It is given that Aisha and her friends ate [tex]2\dfrac{1}{2}[/tex] pizzas.

After the party, the remaining pizza is [tex]1\dfrac{1}{8}[/tex] pizzas.

Now,

[tex]2\dfrac{1}{2}=\dfrac{4+1}{2}=\dfrac{5}{2}[/tex]

[tex]1\dfrac{1}{8}=\dfrac{8+1}{8}=\dfrac{9}{8}[/tex]

Pizzas at the starting = Pizza eaten by Aisha and her friends + Remaining pizza

[tex]=\dfrac{5}{2}+\dfrac{9}{8}[/tex]

[tex]=\dfrac{20+9}{8}[/tex]

[tex]=\dfrac{29}{8}[/tex]

[tex]=3\dfrac{5}{8}[/tex]

Therefore, [tex]3\dfrac{5}{8}[/tex] pizzas were there at the start of the party.

Answer:

3 & 5/8

Step-by-step explanation:

i got it right

The graph shows the speed of a particle over a 10 second time interval find an estimate for the distance travelled by the particle

Answers

Answer:

240

Step-by-step explanation:

(2x36)/2=36

(36+39)x2/2=75

(31+39)x2/2=70

(14+31)x2/2=45

(2x14)/2=14

14+45+70+75+36=240

In the function y+3=(1/3x)^2+1 what effect does the number 1/3 have on the graph as compared to the graph of y=x^2

Answers

Answer:

I think the answer is

B. it stretches the graph horizontally by a factor of 3

Step-by-step explanation:

Answer:

It shrinks the graph vertically to 1/3 its original height

Sam has three identical tennis balls with a diameter of 2.7 inches. Determine the volume of all three tennis balls?

Answers

Answer:

They are 30.93 in³ altogether.

Step-by-step explanation: V = 4/3 π r³

r = 2.7/2 = 1.35

π x 1.35 x 1.35 x 4/3 = 10.31 in³

10.31 x 3 = 30.93

Help me pleaseeee. Which equation represents the graphed function?

Answers

Answer:

D

Step-by-step explanation:

Which values of x make the inequality below true?
5 - 3 + 3x < 13

Answers

x < 11/3 or 3.67

explanation:

5 - 3 + 3x < 13

2 + 3x < 13

3x < 11

x < 11/3 or 3.67

examples:

x = 3
5 - 3 + 3(3) < 13
2 + 9 < 13
11 < 13 ✅

x = 4
5 - 3 + 3(4) < 13
2 + 12 < 13
14 < 13 ❌

Help I don’t understand the concept

Answers

Answer:

C. No, because one x-value corresponds to two different y-values

Step-by-step explanation:

An x-value cannot have two y-values. Hope this helps!

Answer:

c ) No because one x-value corresponds to two different y-values

Step-by-step explanation:

Every X needs to have one y value

[tex] \sqrt[3\\ ]{27/125} [/tex]
enter as fraction

Answers

as a fraction, it would be 3/5

Okay so I need help figuring out how to do this table

Answers

Answer:

i think the answer is 125 im not sure

Step-by-step explanation:

y = 5^3 = 125

for 3 i’m pretty sure it’s 125


What is the value of n?

Answers

Answer:

85°

To get this,know that the total angle of triangle is 180°[(n-2)180] n=number of sides.Total angle on a straight line is 180°.

There are 3 angle you need to calculate.

Upper angle:180-133=47°

Right angle:180-142=38°

Left angle:180°-47°-38°=95°

n+95°=180°

n=180°-95°=85°

The graph of a proportional relationship passes through (9, 18) and (1, y). Find y.

Answers

Answer:

2

Step-by-step explanation:

Because it's a proportional relationship and it goes through the point (9, 18) the equation is y = 2x so when x = 1, y = 2.

Which of the following is(are) the solution(s) to 8|x-3|=-24
O A. All values are solutions
O B. x= 6,0
C. No Solution
O D. x = 3,0

Answers

The correct answer is c. There is no solution because there is no way to divide it and simplify.

please help me out here
*image attached

Answers

Answer:

Rate of change =  change y / change x

Change y = + 1

Change x = + 2

SO the rate of change is 1/2

WHAT IS THE Y VALUE WHEN X IS 9

y = 1 MULTIPLY by 4.5 = 4.5

x = 2 MULTIPLY by 4.5 = 9

Y = 4.5 when x = 9

pls help this due before 11:59​

Answers

Answer:

4th option is the correct answer

35 inches

Step-by-step Explanation:

[tex]w = 4 \frac{3}{8} = \frac{35}{8} \: in \\ \\ l = 3 \times \frac{35}{8} = \frac{105}{8} \: in \\ \\ perimeter \: of \: rectangle \\ = 2\bigg(l + w \bigg) \\ \\ = 2\bigg( \frac{105}{8}+ \frac{35}{8} \bigg) \\ \\ = 2 \times \frac{140}{8} \\ \\ = \frac{140}{4} \\ \\perimeter \: of \: rectangle = 35 \: in[/tex]

What additional information is needed to determine that ΔABC ≅ ΔEDC using the HL method of congruence? answers: A) ≅ B) No additional information is needed. C) ≅ D) ∠ACB ≅ ∠ECD

Answers

Answer:

AC congruent to EC

Step-by-step explanation:

This problem is asking specifically to prove triangles congruent using HL.

HL is a method of proving triangles congruent. HL stands for Hypotenuse-Leg. If you can show that the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg, respectively, of another triangle, then the triangles are congruent.

Looking at triangle ABC and EDC, we see that the legs AB and ED are congruent. We already have a pair of corresponding congruent legs. Now we need a pair of hypotenuses.

You need AC congruent to EC.

Answer:

AC congruent to EC

Step-by-step explanation: I took the test

What is the area of the figure in the picture?

Answers

Answer:

[tex]26.14yd^2[/tex]

Step-by-step explanation:

Triangle

[tex]A=\frac{h_bb}{2} \\=\frac{4*6}{2} \\=12yd^2\\\\A=\frac{1}{2} \pi r^2\\=\frac{1}{2} \pi 3^2\\=14.14yd^2\\\\12+14.14=26.14yd^2[/tex]

Answer:

Step-by-step explanation:

The area of a circle knowing the diameter is 28.2743, now divide between 2: 14,13715

Now the area of the triangle give us: 9.238

9.238 + 14,13715 = 23.37515

The procedure is in the images

App used: CalculateMyFigure

Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi? 0.25n≥3+0.15n 0.25n+3<0.15n 0.25n>0.15n+3 3+0.15n>0.25n

Answers

Answer:

0.5m+2.50=c

Step-by-step explanation:

Just trust me brah

Find the value of x please!!

Answers

Answer:

x = 9

Step-by-step explanation:

[tex]\frac{12}{8} = \frac{x}{6}[/tex]

x = [tex]\frac{12}{8}[/tex] x 6 = 9

Pls I Need Help!
Triangle E F G. Side E F is 6 meters, F G is 5 meters, E G is 7 meters. Triangle K L J. Side K L is 28 meters, L J is 24 meters, J K is 20 meters.
Given that these triangles are similar, which side corresponds to side GE?

Given that these triangles are similar, which side corresponds to side JK?

Answers

Answer: The first one is KL and the second one is most likely FG.

Answer:

1: KL

2: FG

Step-by-step explanation:

Just did it on Edge 2020-2021

Three dressers are placed side by side one dresser is 2 feet 9 inches wide , another is 2 feet 7 inches wide , and the third 3 feet 11 inches wide . How wide are they combined

Answers

Answer:

18 feet 3 inches

Step-by-step explanation:

4 feet 7 inches + 6 feet 11 inches + 6 feet 9 inches =

10 feet 18 inches + 6 feet 9 inches =

16 feet 27 inches =18 feet 3 inches

Answer: 9.25 Feet

Step-by-step explanation:

Step 1: Take all the feet add them together = 7Ft or 84 inches

Step 2: Now add all the inches together to = 27 inches

Step 3: Add 27 + 84 = 111

Step 4: Divide that by 12 cause 1 foot = 12 inches

Step 5: should equal 9.25 :)

Divide the following quantiles in the given ratio £100 1:3 £80 3:5 £250 2:3:5

Answers

Answer:

Step-by-step explanation:

a.

£100

1:3

1+3=4

1/4×£100

=£25

3/4×£100

=£75

b.

£80

3:5

3+5=8

3/8×£80

=£30

5/8×£80

=£50

C.

£250

2:3:5

2+3+5=10

2/10×£250

=£50

3/10×£250

=£75

5/10×£250

=£125

Mr. Smith saved $15 by buying a tool at a 10% discount. What was the original price for this tool?

Answers

Answer:16.5

Step-by-step explanation:

15 times 10 percent=1.5, Add 1.5 to 15 =16.5

Answer: $150

Step-by-step explanation:

PRICE x 10% = $15

PRICE x .1 =$15

PRICE = $15 /.1

PRICE = $150

solve for 7x2 = 10x

Answers

Answer:

x = 0, x = [tex]\frac{10}{7}[/tex]

Step-by-step explanation:

Given

7x² = 10x ( subtract 10x from both sides )

7x² - 10x = 0 ← factor out x from each term

x(7x - 10) = 0

Equate each factor to zero and solve for x

x = 0

7x - 10 = 0 ⇒ 7x = 10 ⇒ x = [tex]\frac{10}{7}[/tex]

Answer:

x = 1.4

Step-by-step explanation:

1. Simplify the left side so you get 14 = 10x

2. Divide the whole equation by 10

3. x = 1.4

if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 5 hours a day.

Answers

Answer:

7 days

Step-by-step explanation:

Help geometry what I m jlf
Picture provided

Answers

Answer:

[tex]\angle\,JLF = 114^o[/tex]  which agrees with option"B" of the possible answers listed

Step-by-step explanation:

Notice that in order to solve this problem  (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from [tex]180^o[/tex], since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as [tex]90^o[/tex] and [tex]138^o[/tex]. (see attached image)

We put our efforts into solving the right angle triangle denoted with green borders.

Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by : [tex]360^o-90^o-138^o=132^o[/tex]

Therefore, the two equal acute angles in the triangle JOH should add to:

[tex]180^o-132^o=48^o[/tex] resulting then in each small acute angle of measure [tex]24^o[/tex].

Now referring to the green sided right angle triangle we can find find angle JLG, using: [tex]180^o-24^o-90^o=66^o[/tex]

Finally, the requested measure of angle JLF is obtained via: [tex]180^o-66^o=114^o[/tex]

Not so bad after an F- I guess.

Answers

Answer:

Congratulations!

Step-by-step explanation:

passion wants to rent a car to take a trip

Answers

Answer: The answer is C

Step-by-step explanation:

Need help ASAP


How to check that a trinomial is a perfect square ?

Answers

Answer:

Step-by-step explanation:

multiply the two square roots together and then by two. You should get the positive or negative version of the other term. Once again, if this is not the case, you do not have a perfect square trinomial. For example, in the trinomial x2 - 12x + 36, both x2 and 36 are perfect squares.

Help!!
Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?

Answers

Answer:

11 grams of drink mix per ounce of water

Step-by-step explanation:

I converted both numbers to decimals to get 19.25 and 1.75, then divided the amount of drink mix by the amount of water.

Answer:

11 gm mix : 1 ounce water

Step-by-step explanation:

We find 1/7 of 19.75gm  = 2.75

Then we multiply by 4 = 11

We have found our ounce rate to be 11 gm : 1 ounce water

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