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Question 1 Multiple Choice Worth 4 points)
(02.05)
Solve the quadratic equation x? - 8x + 18 = 0 using the quadratic formula. What is the solution when expressed in the form a + bi, where a and b are real numbers?

Answer:

[tex]b\ge \:5[/tex]

Step-by-step explanation:

[tex]-138\ge \:-6\left(6b-7\right)\\\\[/tex]

Switch sides

[tex]-6\left(6b-7\right)\le \:-138\\[/tex]

Multiply both sides by -1

[tex]\left(-6\left(6b-7\right)\right)\left(-1\right)\ge \left(-138\right)\left(-1\right)[/tex]

Simplify

[tex]6\left(6b-7\right)\ge \:138[/tex]

Divide both sides by 6

[tex]\frac{6\left(6b-7\right)}{6}\ge \frac{138}{6}[/tex]

Simplify

[tex]6b-7\ge \:23[/tex]

Add 7 to both sides

[tex]6b-7+7\ge \:23+7[/tex]

Simplify

[tex]6b\ge \:30[/tex]

Divide both sides by 6

[tex]\frac{6b}{6}\ge \frac{30}{6}[/tex]

Simplify

[tex]b\ge \:5[/tex]

Answer:

6x 2 = 12 is your answer your welcome

Answer: 30k-24m

Step-by-step explanation:

so 9(2k-3m), there is an invisible multipulaction sign between the 9 and the parenthesis which means you have to multiply everything in there. 18k-27m.

Then -9m+12m+12k. Its a plus because two minuses make a positive.

18k-27m-9m+12m+12k. Now you put like terms together.

18+12k=30k, -27m-9m+12m= -24m

30k-24m

Answer:

a hypothenuse is the longest side of a right triangle, opposite the right angle.

Step-by-step explanation:

i hope this helps!

Step-by-step explanation:

hypotenuse is the straight line and the longest in a right-angled triangle

Answer:

[tex]the \: unit \: rate \: is \: \frac{27 \: pre \:}{1 .5\: hr} = 18 \frac{presents}{hour} [/tex]

Answer:

5.5 or 5 1/2

Step-by-step explanation:

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

Explanation:

For any 45-45-90 triangle, the two legs are the same length.

So m = n.

This is because the two angles opposite these legs are congruent.

Using the Pythagorean theorem, we can find m

m^2+n^2 = (7*sqrt(2))^2

m^2+m^2 = 98

2m^2 = 98

m^2 = 98/2

m^2 = 49

m = sqrt(49)

m = 7

As a quick shortcut, the hypotenuse of any 45-45-90 triangle is always sqrt(2) times the leg.

hypotenuse = (leg)*sqrt(2)

The answer to question is m=7.

Answer:

0.4 kilometers

Step-by-step explanation:

6/15 = 0.4

a hippopotamus can run 0.4 kilometers in 1 minutes

Answer:

B. -15

Step-by-step explanation:

The question is incomplete, find the complete question attached. The point estimate of the mean is also known as the mean of the towns

Given the mean of two towns

xbarG for sample mean of Gotham = 35

xbarM for sample mean of Metropolis = 50

distribution of the difference between the 2 sample​ means = xbarG - xbarM

distribution of the difference between the 2 sample​ means = 35-50

distribution of the difference between the 2 sample​ means = -15

Hence option B is correct

Answer:

x= 3

Step-by-step explanation:

Answer:

X= 3

Step-by-step explanation:

DUH

Answer:

YES DOOD TY FOIR THE COINS DOOD

Step-by-step explanation:

Answer:

top : 10, 5, 7.5  

bottom: 4832, 30.2, 604

if this helps yw

Answer:

The terms an approach 8 as n becomes large.

Step-by-step explanation:

The computation is shown below:

As per the question, Given that

[tex]\lim_{n \to \infty} a_n = 8[/tex]

That means

[tex]n \to \infty}[/tex]

And,

[tex]a_n \to 8[/tex]

This means that the term a_n approaches 8 as n tends to be infinite

And, the term a_n approaches 8 as n tends to be large

Therefore the option  c is correct

And, the same is be considered

All other options are wrong so ignored them

Answer:

Step-by-step explanation:

Volume of a cone V = 1/3πR²h

r is the radius

h is the height

Given

dV/dt = 18ft³/min

h = 10ft

dimeter = 12ft

radius = 6ft

according to similar triangles

R = 6/10 h

R = 3/5 h

The volume becomes

V = 1/3πR²h

V = π/3(3h/5)²h

V = π/3 9h²h/25

V = 9h³π/75

dV/dt =  dV/dh * dh/dt

dV/dt = 27h²π/75dh/dt

Substitute the given values

18 = 27(10)²π/75dh/dt

18 = 2700π/75dh/dt

18 = 36π dh/dt

dh/dt = 18/36π

dh/dt = 1/2π

dh/dt = 1/2(3.14)

dh/dt = 1/6.28

dh/dt = 0.1592ft/min

Answer:B,ED

Step-by-step explanation:The Glorious Revolution affected the colonies by resulting in the dissolution of the Dominion of New England and caused a rebellion against the Catholic leaders of Maryland. Furthermore, the new regime in England began to treat the colonies with "salutary neglect." Instead of micromanaging colonial affairs, the crown and Parliament allowed the colonies to do more or less as they wished.

The Dominion of New England was overthrown, Colonists were shown that an unjust king could be overthrown, The idea that citizens have rights that government cannot take away gained more support. Option (b) (d) and (e) are correct.

Revolutions take the shape of coordinated movements intended to bring about change—whether it is in the realms of economics, technology, politics, or society. The initiators of revolutions have come to the conclusion that the social institutions that are now in place have failed or are no longer necessary.

In the years following the revolution, Parliament's role and power underwent a significant transformation. The 13 North American colonies were impacted by the incident as well. After King James was deposed, the colonists were temporarily exempt from stringent, anti-Puritan legislation.

The Glorious Revolution (1688–1689) marked the transition from an absolute monarchy to a constitutional monarchy by permanently establishing Parliament as the governing body of England and, later, the United Kingdom.

Therefore, Option (b) (d) and (e) are correct. The Dominion of New England was overthrown, Colonists were shown that an unjust king could be overthrown, The idea that citizens have rights that government cannot take away gained more support

Learn more about Revolution, here;

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Answer: 18

Step-by-step explanation:

1. Replace X with its value (9)

3- 9/3 + 2•9

2. Using PEMDAS, divide 9 by 3

3 - 3 + 2•9

3. Multiply 2 and 9

3 - 3 + 18

4. Subtract 3 from 3

18

Your answer is 18

Answer:T

Step-by-step explanation:

Answer:

This corresponds to drawing 80 tickets at random.

Step-by-step explanation:

Since a roulette wheel has 38 slots numbered 1 - 36 and 0 and 00, and you play this game 80 times, it implies that you will need 80 tickets.  Each play requires a ticket from which you will choose your four numbers.  This is a game of chance, and like all games of chance, the outcome cannot be ascertained until after the play.

At random, this corresponds to drawing 80 tickets.

According to the question,

Number of slots in wheel = 38

Number of times game played = 80

Win = $8

Lose = $1

Even though a roulette wheel includes 38 slots designated 1 - 36 along with 0 as well as 00, if users start playing 80 times, they will require 80 tickets or coupons. Also, every game necessitates the purchase of a ticket from which you will select your four digits.  

This represents a matter of chance, as well as the conclusion, like all situations of opportunity, cannot be known until well after the tournament has been completed.

Thus the response above is correct.

Find out more information about probability here:

https://brainly.com/question/24756209

Answer:

CD, JS, and CT.

Step-by-step explanation:

Hope it helps.

All the value of chords are, CD and CT.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The circle is shown in image.

Now, We know that;

The chord of a circle is defined as the line segment joining any two points on the circumference of the circle.

Hence, By figure;

The chords are,

⇒ CD and CT

Learn more about the circle visit:

https://brainly.com/question/24810873

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Answer:

1/2x + 11

Step-by-step explanation:

Can I have brainliest? plz!!!

The answer is $39 by subtracting the original price and sale price.

Answer:

The correct answer is 60%

Step-by-step explanation:

Answer:

5/48

Step-by-step explanation:

So first multiply the numerators: 1 and 5. Multiplying 1 and 5 gets you 5.

Now multiply denominators: 8 and 6. That gets you 48.

So, after you multiply put it in a fraction and you get 5/48.

There is no need to simplify as it's already in its simplest form!

Answer:yes!

Step-by-step explanation:

Answer:

correct

Step-by-step explanation:

Answer:

Yes!

Step-by-step explanation:

If we want to find out if they have enough to pay for the meal and tip then we need to do 115% of 54.63

[tex]1.15*54.63=62.8245[/tex]

Since this is money we are talking about we need to round to the nearest hundredths place

[tex]62.82[/tex]

Since the bill with tax plus the tip is only $62.82 and they have $65 then they can afford to tip 15% and pay for the meal.

Answer: 67600000000

Step-by-step explanation:

The password has length 10 characters using 2 letters (A,...,Z) and 8 digits (0,1,...,9).

Total letters = 26

Total digits = 10

If repetition is allowed, then the number of different passwords of length 10 can be formed = [tex](26)^2\times (10)^8=67600000000[/tex]

Hence, the different passwords of length 10 can be formed = 67600000000

Answer:

x=9, y=2

Step-by-step explanation:

there are multiple ways to solve. I prefer lining both equations up so

18x + 21y =204

6x + 14y = 82

You can multiply 6x +14y =82 by -3 to get -18x + -42y = -246

then add both equations together to get y by itself. so you get

-21y=-42

y = 2

then substitute y back in to either equation and you'll get x=9

Answer:

Step-by-step explanation:

Its 16% I done the test