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Question: 1/20
The graph of which equation would be a circle with a center at
(2.3) and a radius of 7 ?
A. (x + 2y = (y - 3) = 7
B. (x - 2) = (y + 3) = 7
C. (x - 2y + (y + 3)2 = 49
D. (x - 2) - (y - 3)2 = 49
OB
Whats the correct choice?

Answer & Step-by-step explanation:

For this problem, we are going too have to use the distance formula.

[tex]Distance = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

We can plug in the coordinate points that we are given to their respectful places.

[tex]Distance=\sqrt{(6-8)^2+(-6-1)^2}[/tex]

[tex]Distance=\sqrt{(-2)^2+(-7)^2}[/tex]

[tex]Distance=\sqrt{4+49}[/tex]

[tex]Distance=\sqrt{53}[/tex]

[tex]Distance=7.3[/tex]

So, the distance between the pool and the main office is 7.3 miles.

Answer:

Largest possible value for the 3rd side can be 22.

Step-by-step explanation:

Property of sides of a triangle:

If two sides of a triangle are [tex]a[/tex] and [tex]b[/tex] long, then the length of third side [tex]c[/tex] must be:

[tex](a+b) > c[/tex]

i.e. the sum of two sides [tex]a[/tex] and [tex]b[/tex] must be greater than the third side [tex]c[/tex].

So, to find the largest possible value:

[tex]a = 8\\b= 15[/tex]

[tex]a+b=23[/tex]

Largest possible value of [tex]c[/tex] can be lesser than 23.

i.e. 22 can be the largest possible value of the third side.

Answer:

There are £32.64 are in 1,088 rubles.

Step-by-step explanation:

To solve this

step 1: find cost of 1 rubble

step 2: multiply number of rubble with cost of one rubble.

cost of 850 rubles = £25

we need to find cost of 1 rubles, for that we divide lHS and RHS with 850

cost of 850/850 rubles = £25/850 = £0.03

cost of 1 rubles = £0.03

Therefore cost of 1088 rubles = 1088* cost of 1 rubles

                                                  = 1088 * £0.03 = £32.64.

Thus, there are £32.64 are in 1,088 rubles.

Answer:

Equation= 40=22.50+.10(how many miles)

175 miles= How many miles you drove.

Step-by-step explanation:

Equation= 40=22.50+.10(how many miles)

40-22.50=.10(how many miles)

17.5=.10(how many miles)

175 miles= How many miles you drove.

Answer:

i put 2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

b

The constant of proportionality in the equation {y = x/9} is equivalent to (1/9).

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is the linear equation as follows -

y = x/9

This is the equation of a straight line, which is -

y = mx + c

{m} is slope and is also called the constant of proportionality.

We can write -

y = (1/9)x + 0

So, the constant of proportionality is equivalent to (1/9).

Therefore, the constant of proportionality in the equation {y = x/9} is equivalent to (1/9).

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Answer:

Carrie left Colorado at 2:45pm CST on Tuesday.

Step-by-step explanation:

The train travels a total of 24 hours to get from Colorado to Illinois, that is, it takes one complete day of travel to get from one city to the other.

So, if Carrie arrives Illinois at 2:45pm CST on Wednesday, she left Colorado exactly one day before that, in the same hour, so she left Colorado at 2:45pm CST on Tuesday.

Answer:

chance of:

red 7/40 = 17.5%

yellow 3/10 = 30%

orange 1/5 = 20%

white = 13/40 = 32.5%

Step-by-step explanation:

7+12+8+13 = 40 total cards

7 red/ 40 possible

12 yellow/40 possible = 3/10

8 orange/40 possible = 1/5

13 white/40possible

Using it's concept, it is found that the experimental probability of each outcome is given by:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these numbers are taken from previous outcomes.

In this problem, there are 40 cards.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

x=8 and y=2

Step-by-step explanation:

x+y=10

x=4y

x+y=10

4y+y=10

5y=10(divide both sides by 5)

y=2

x=4y=4*2=8

Answer:

2 and 8.

Step-by-step explanation:

y = -x + 10

y = 4x

If we subtract we eliminate y:

0 = -x + 10 - 4x

0 = -5x + 10

5x = 10

x = 2.

and y = 4 * 2 = 8.

Answer:

[tex]5b^2(x-0.2)(x+3)[/tex]

Step-by-step explanation:

The first thing that I noticed was that all of the terms had a common factor of [tex]b^2[/tex]. You can therefore factor that out first:

[tex]5x^2b^2 + 14xb^2 -3b^2= \\\\b^2(5x^2+14x-3)[/tex]

Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:

[tex]5b^2(x-0.2)(x+3)[/tex]

Hope this helps!

Answer:

10 and 8

Step-by-step explanation:

Answer:

[tex]\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}[/tex]

Pilot error, better training of pilots may reduce accidents.

Step-by-step explanation:

The total number of crashes is:

[tex]n = 581+56+579+555+526\\n=2297\ crashes[/tex]

The relative frequency is given by the number of accidents caused by each factor divided by the total number of accidents. The relative frequency distribution is:

[tex]\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}[/tex]

The most serious threat to aviation​ safety is pilot error, a better training of current and future pilots could be a solution to reduce accidents.

Answer:

The size of the post card she should use is 4 in. × 6 in.

Step-by-step explanation:

The parameters given are;

Dimensions of sign = 5 ft. × 7.5 ft

Hence, the ratio of the side sizes are;

5:7.5 which is the same as 2:3, therefore, to obtain the most accurate design of the sign on the post card, the size of the post card must be in direct proportion to the size of the sign which gives;

Side length ratio of post card = 2:3 = 4:6 = 4 in. × 6 in.

The size of the post card she should use is therefore = 4 in. × 6 in.

Answer:

hope this helps you

Answer:

No, x = -12/23 , y = -14/23

Step-by-step explanation:

Solve the following system:

{-3 x - 4 y = 4 | (equation 1)

y - 5 x = 2 | (equation 2)

Swap equation 1 with equation 2:

{-(5 x) + y = 2 | (equation 1)

-(3 x) - 4 y = 4 | (equation 2)

Subtract 3/5 × (equation 1) from equation 2:

{-(5 x) + y = 2 | (equation 1)

0 x - (23 y)/5 = 14/5 | (equation 2)

Multiply equation 2 by 5:

{-(5 x) + y = 2 | (equation 1)

0 x - 23 y = 14 | (equation 2)

Divide equation 2 by -23:

{-(5 x) + y = 2 | (equation 1)

0 x+y = (-14)/23 | (equation 2)

Subtract equation 2 from equation 1:

{-(5 x)+0 y = 60/23 | (equation 1)

0 x+y = -14/23 | (equation 2)

Divide equation 1 by -5:

{x+0 y = (-12)/23 | (equation 1)

0 x+y = -14/23 | (equation 2)

Collect results:

Answer: {x = -12/23 , y = -14/23

Answer:

B

Step-by-step explanation:

The side opposite the largest angle is the longest side.

Hope this helps

Answer:

Cone 1 ⇒ Cone 3 ⇒ Cone 2

Step-by-step explanation:

V=πr²h /3

Order the cones from least to greatest volume

Answer:

Option A is correct

g(x) = 9x^2

Step-by-step explanation:

f(x) = x^2

g(x) = f(3x) = (3x)^2 = 9x^2

Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)

=> Option B and C are incorrect (the value of y is smaller than 0)

Let's continuously see the option D. The graph shows that when x is equal to 3, y is approximately 5. This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.

=> Option D is incorrect

=> Only option A is correct

Hope this helps!

Option A is correct

g(x) = 9x^2

f(x) = x^2

g(x) = f(3x) = (3x)^2 = 9x^2

Let's consider the function: g(x) = 9x^2. This function is always greater or equal to 0 (because x^2 is always greater or equal to 0)

B and C are incorrect (the value of y is smaller than 0)

Let's continuously see option D. The graph shows that when x is equal to 3, y is approximately 5.

This is incorrect because if we substitute x = 3 into g(x), the y value should be y = 9 x 3^2 = 9 x 9 = 81, much greater than 5.

Option D is incorrect

Only option A is correct

To learn more about the graph visit:

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Answer:

c) 180in

Step-by-step explanation:

So first you divide 150 by 5 to know by how much it was increased

150/5=30

Then multiply the length by that same 30 since it was scaled up by 30

30*6=180

Answer:

C) 180 because you do ratio of 5:6 = 150:X. X=180 because 150/5=30 so you take 30x6 = 180

Answer:

2

Step-by-step explanation:

If the common difference is d we can write:

-5 + 9d = 13

9d = 18

d = 2

Answer:

d = 2.

Step-by-step explanation:

First term = -5

10th term = -5 + 9d    where d is the common difference, so

-5 + 9d = 13

9d = 18

d = 2.

Answer:

a) An event with probability 0 is said to be impossible

b) An event with probability 1 is said to be certain

c) The probability of getting a head when flipping an unbiased coin is shown by the letter A

Step-by-step explanation:

a) If something has a 0 on a probability scale, it will never happen. The word used to describe this outcome is impossible.

b) If something has a 1 on a probability scale, it will always happen. The word used to describe this outcome is certain.

c) The probability of getting a head on an unbiased coin is [tex]\frac{1}{2}[/tex] or [tex]0.50[/tex]. This means that we are looking for the letter that is in the exact center of 0 and 1. It can be seen that A is in the dead center of these two numbers, so this is our answer.

Answer:

The game is not fair

Step-by-step explanation:

A wheel with seven sectors:

Red Sectors  = 2   |  Probability  = 2/7

Purple sectors  = 2  |  Probability  = 2/7

Yellow sectors  = 2 |   Probability  = 2/7

Blue sectors  = 1  |  Probability  = 1/7

Landing on the blue sector will give 3 points,  => 3 * 1/7  = 3/7    points

landing on a yellow sector will give 1 point => 1 * 2/7 = 2/7   points

landing on a purple sector will give 0 points => 0 * 2/7  = 0   points

landing on a red sector will give –1 point.  =>  - 1 * 2/7  = -2/7 points

Expected value  =  3/7 + 2/7 + 0 - 2/7

= 3/7

Expected value  =  3/7

3/7   < 1/2

=> game is not fair

If expected value = 3.5/7 = 1/2  then game will be fair

hence if we make 3.5 points for Landing on the blue sector

then game will be fair.

Answer: well i'm too young to answer this lol

1. 7

2. change the value of the colors. each color should have at least 1 or 2 points for each sector.

Step-by-step explanation:

1. two are red (red=1) =2, two are purple (purple=0) =2, two are yellow (yellow=1) =4, one is blue (blue=3) =7

2. dk how to explain this i'm running out of time

If x² = y³ , for what value of z does [tex]x^{3z}[/tex] =  [tex]Y^{9}[/tex]  ?

Answer:

z= 2

Step-by-step explanation:

To solve the question given, we will follow the steps below;

[tex]X^{3z}[/tex] =  [tex]Y^{9}[/tex]   -----------------------------------------------------------------(1)

but   applying the law of indices mᵃᵇ = (mᵃ)ᵇ

then

[tex]Y^{9}[/tex]  = [tex](Y^{3})^{3}[/tex]

replace  [tex]Y^{9}[/tex]  by  [tex](Y^{3})^{3}[/tex]  in equation (1)

[tex]X^{3z}[/tex] =  [tex]Y^{9}[/tex]

[tex]X^{3z}[/tex] =   [tex](Y^{3})^{3}[/tex]   --------------------------------------------------------------------(2)

but  from the question x² = y³

replace y³ by x²  in equation (2)

[tex]X^{3z}[/tex] =   [tex](Y^{3})^{3}[/tex]

[tex]X^{3z}[/tex] =   [tex](X^{2})^{3}[/tex]

[tex]X^{3z}[/tex] =   [tex]X^{6}[/tex]

3z = 6

divide both-side of the equation by 3

3z/3 = 6/3

On the left-hand side of the equation, 3 at the numerator will cancel-out 3  at the denominator leaving us with just z while on the right-hand side of the equation 6 will be divided by 3

z= 2

Answer:

It will take 60 hours for 2 elephants to set up the tent.

Step-by-step explanation:

Represent set-up time by T and the number of elephants by E.  T varies inversely with E:

T  = k/E, or TE = k

If 4 elephants can set up a tent in 30 hours, then 30(4) = k, and

T = 120/E

Now let E = 2.  We get T = 120/2, or 60

It will take 60 hours for 2 elephants to set up the tent.

Answer:

[tex]\frac{log(y+4)}{2log3}[/tex]

Step-by-step explanation:

Given the exponential equation [tex]y = 3^{2x}+4[/tex], to get 2x, we will make 2x the subject of the formula as shown;

[tex]y = 3^{2x}-4\\y+4 = 3^{2x}\\taking\ log\ of\ both\ sides\\log(y+4) = log3^{2x}\\ log(y+4) = 2xlog3\\dividing\ both\ sides\ by\ 2log 3\\\ x = \frac{log(y-4)}{2log3} \\[/tex]

The last expression gives the required value of x

Answer:

2

Step-by-step explanation:

2 4/5 * 5/7

Change to an improper fraction

(5*2+4)/5 * 5/7

14/5 * 5/7

Canceling the 5's

14/7

2

Answer:

2

Step-by-step explanation:

[tex]2\dfrac{4}{5}\times \dfrac{5}{7}= \\\\\\\dfrac{14}{5}\times \dfrac{5}{7}=\\\\\\\dfrac{14\times 5}{5\times 7}=\\\\\\\dfrac{14}{7}=\\\\\\2[/tex]

Hope this helps!

Answer:

360 grams of cereal

Step-by-step explanation:

First you have to do 540 times 8 to find out how many grams of cereal he ate over the eight weeks.

Then you have to divide the answer by 12 to get 360 grams of cereal.

I hope this helped ;)

Answer:

the answer is 2.

Step-by-step explanation:

the basic form of this equation is y=mx+c where c is the y intercept and m is the gradient. c=2 so 2 is the y intercept

Answer:

400 texts

Step-by-step explanation:

Answer:

The answer is A)

Step-by-step explanation: