The endpoints CD are given. Find the coordinates of the midpoint m. 24. C (-4, 7) and D(0,-3)

1. Find the graph of the parabola attached below

2. Vertex (-4, 2)   Focus (-7/2, 2)  Directrix (x = -9/2)  Endpoints (-7/2, 1) (-7/2, 3)

For the parabola,  x = 1/2(y-2)² - 4 we will use the equation x = 4p(y-k)² + h,

Vertex → (h, k)

In our given equation, (y - 2) → (y - k), so k = 2. The term on the rightmost side of our equation (-4) → h in the form, so we know h = -4. ∴  vertex (-4, 2).

focus → (h, k) = (-4, 2); P = 1/2

Parabola is symmetric around the x axis and so the focus lies a distance P, from the center, along the x axis.

∴  Focus is (-4 + p, 2)

(-4 + 1/2, 2) ⇒ (-7/2, 2)

directrix → x = d

Parabola is symmetric around the x axis and therefore the directrix is a line paralled to the y axis a distance away from the ceter (-4, 2) x coordinate.

∴ x = -4 - p   ⇒ x = -4 - 1/2

x = 9/2

focal chord endpoints →

The focus of the parabola is (-7/2, 2).

The y-coordinate of the focus is 2, so the y-coordinates of the endpoints of the focal chord are 2 + 1 and 2 - 1, → 3 and 1.

Therefore, the endpoints of the focal chord are:

(-7/2, 3) and (-7/2, 1).

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Answer:

600

Step-by-step explanation:

Answer:it might be A

Answer:

The observed value of the chi-square statistic is 34.71

Step-by-step explanation:

Given the data in the question';

Calculate the observed value of the chi-square statistic

The chi-square statistic will be;

∑\(_{i}\)[ ( O\(_{i}\) - E\(_{i}\))² / E\(_{i}\) ]

here O\(_{i}\) is observed frequency of \(_{i}\)th class

E\(_{i}\) is expected frequency of \(_{i}\)th class

\(_{i}\)  = 1, 2 which denote the class of food experts who guess correctly and who didn't guess correctly

so  

∈\(_{i}\) = n × probability of not guessing correctly = 168 × 2/3 = 112

∈1 = n × probability of guessing correctly 168 × 1/3  = 56

so

∑\(_{i}\)[ ( O\(_{i}\) - E\(_{i}\))² / E\(_{i}\) ] = [ ( 92 - 56)² / 56 ] + [ ( 76 - 112)² / 112 ]

= 1296/56 + 1296/112

= 23.14 + 11.57

= 34.71

Therefore, the observed value of the chi-square statistic is 34.71

Answer: 4

Step-by-step explanation:

16 - 12

Answer:

 = 4

Step-by-step explanation:

On solving the provided question, we can say that Anil’s age is a factor of 48; prime factors of 48 = 1,2,3,4,6,12,24, => anil's age = 48 +7 = 55

Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.

Anil’s age is a factor of 48.

prime factors of 48 = 1,2,3,4,6,12,24,

anil's age = 48 +7 = 55

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It's 8/25.

The reason its 8/25 is because u gotta add or subtract.

Answer: -12.35

Step-by-step explanation: Hope this helps!

Answer:  Which expression is equivalent to −24 1/2+16.15−4?

 B) 16.15-28.5 = -12.35

 C) -28.5+16.15= -12.35

  E) 12.15 - 24 1/4 = -12.35

Step-by-step explanation:

Part A: Grocery Store: unit price = $1.65 (Tomatoes)

Farmer's Market: unit price  = $1.75

Part B: Grocery Store offers a better deal because the unit price is less.

Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e.  $5 for one orange.

PART A:

Let's choose tomatoes

Grocery Store

8 tomatoes for $13.20

Unit price = $13.20/8 = $1.65

10 tomatoes for $17.50

Unit price = $17.50/10 = $1.75

Part B:

The location that offers a better deal is Grocery Store. This is because the unit price is less.

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Answer:

no; 2.451904*10^3

Step-by-step explanation:

23.576*104=2451.904

to convert, move the decimal up to behind the first digit, and add tens accordingly

2451.904=2.451904*10^3

Answer:

Not a Function

Step-by-step explanation:

there are 2 same inputs for different outputs

Answer:

-18x+8

Step-by-step explanation:

First you have to distribute the -2 to the 3x and the -5 in the parenthesis giving you -6x+10-12x-2.

Next you combine like terms which gives you -18x+8

Answer:

1/20

Step-by-step explanation:

1/5 divided by four is 1/20

5x4=20

Answer:

1/20

Step-by-step explanation:

1/5 / 4

cross multiply but first write 4/1

4 * 5 IS 20

1* 1 = 1

1/20

Given: 9 pie is ordered and the cost before tax is 8#.25

To Determine: The unknown digits and the cost of each pizza

To achieve this, we would use the divisibility test for 9

The divisibilty test state that sum all the digit. it must be divisible by 9. Therefore

For that to be divisible by 9, then

Hence, the unknown digit is 3

The price of a pizza is

Hence, each pizza cost $9.25

Answer:

y = -2/3 x - 13/3

Step-by-step explanation:

y = -2/3 x + 3/2

y = mx + b

m = -2/3

The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.

m = -2/3

y = mx + b

y = -2/3 x + b

Substitute the given point for x and y and solve for b.

-7 = -2/3 (4) + b

-21/3 = -8/3 + b

b = -13/3

Answer: y = -2/3 x - 13/3

Answer:

52 x 2 + 1 - 1 = 104

Adding some description to extend my answer since the equation was too short.

Hey there!

Just DISTRIBUTE

52(2x + 1)

52(2x) + 52(1)

52(2x) = 104x

52(1) = 52

Answer: 104x + 52 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B into the formula, we have:

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.

Answer:

-2

Step-by-step explanation:

I got it wrong and it told me negative 2 was the correct answer lol

Answer:

See step by step.

Step-by-step explanation:

lets define the events:
A: cuban festival        C: tropical Garden
B: street art show      D: african festival

a) theoretically the probability is

\(P(A)=P(B)=P(C)=P(D)= \frac{1}{4} = 0.25 \\\)
This is 25% (for each one, equally)

b) The experimental probability is given by:

\(P(A)= \frac{32}{150} =0.2133\)

\(P(B)= \frac{38}{150} =0.2533\)

\(P(C)= \frac{35}{150} =0.2333\)
\(P(D)= \frac{45}{150} =0.3000\)

c) The theoretically probabilities are all equally, the experimental probabilities are close to 25% each one, but differ lightly each one, since is an experiment and the result is random.  

If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

The given function is:

f(x) = 1/2 (3 - x)²

To find the value of f(15), we need to substitute 15 for x in the function:

f(15) = 1/2 (3 - 15)²

Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:

f(15) = 1/2 (144)

f(15) = 72

Therefore, the value of f(15) is 72.

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Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Answer:

| Drink (x ml) |   200 |       100 |    500|   1000|  

| Sugar (y g)  | 20      |  10       |    50   |  100   |

Step-by-step explanation:

Formula :  y=k/x

Solve:

Before we find the answer chart =

| Drink (x ml) |   200 |       100 |    500|   1000|  

| Sugar (y g)  | 20     |      ?        |    ?     |      ?      |

20 = ? / 200

? = 10

Thus,

100/10 = 10

500/10 = 50

1000/10 = 100

So the chart now is:

| Drink (x ml) |   200 |       100 |    500|   1000|  

| Sugar (y g)  | 20      |  10       |    50   |  100   |

~lenvy~

The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.

The reciprocal of the divisor: Reciprocal and division of fractions are two different methods. When the numerator and denominator of a fraction are interchanged, then it is said to be its reciprocal. Suppose a fraction is a/b, then its reciprocal will be b/a. A fraction is a numerical quantity that is not a whole number.

The reciprocal of the divisor 5 1/5 divided by 1/10

To the reciprocal of the divisor.

Equation: 5 1/5 divided by 1/10

1st: Flip the 1/10 to become 10/1

2nd: Change division to multiplication

New equation: 5.1/5.10/1

⇒ 50/5

       ⇒ 10.

The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.

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Step-by-step explanation:

you just have to put that value in place of x in the function.

don't be so lazy you a hole do it yourself

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12