2 equation of the circle questions

1. Find an equation of the circle with center on y=4 and tangent x-axis at (–2, 0)

2. Find an equation of the circle with y intercepts 4 and -8, and contains (-12,8)

Answer:

x=67°

Step-by-step explanation:

Sum of all angles is 180°

36°+77°+x=180°

113°+x=180°

x=180°-113°

x=67°

Bro this is right answer plzzz mark me as brainliest★

Answer:

this is tricky b/c of Sin() , Cos() and Tan() functions  remember the Mnemonic SOH CAH TOA   to help remember how those functions work

Step-by-step explanation:

so they asked for a function  d(q)   or    d= q  okay?

so what is that relationship of d & q    since I wrote down the SOH CAH TOA reminder which of those might help us for this  Sin()= Opp/ Hyp   or  Cos()=Adj/Hpy or Tan()=Opp / Adj    So Molly will be standing where we are going to find the angle q, so  from there, that point... the Adj side is d .. huh.. and the Opposite side is going to be the 630 foot tall Arch of that imaginary triangle from Molly to the base of the Arch and from Molly to the top of the Arch.. soooo lets use Tan() since that one seems to have the parts of info that we are given in this question.  

Tan()=Opp / Adj    where Tan(Ф)  is q and that opposite side is the 630 minus Molly's 5'-3"height     and d is the adjacent side so the formula now looks like this

q = (630- 5'3") / d    if we then move those around and say that

d = (630-5'3") / q then we've got the equation in a pretty easy to see form.    

We can also put in Tan() if we want so that the formula can be solved once you know the angle Molly is looking up at.    so then the formula looks like  d= (630-5'3")/ Tan(Ф)    

if that makes sense?   :)

The function for q in terms of d has d as the input variable and q as the

output.

Response:

Height of St. Louis Arch = 630 feet

Angle of elevation = q

The distance from the base (of St. Louis Arch) = d

Height of Molly's eyes above the ground = 5 feet 3 inches

Required:

The function for q in terms of d

Solution:

3 inches = 0.25 feet

5 feet 3 inches = 5.25 feet

\(tan(q) = \dfrac{630 - 5.25}{d} = \mathbf{ \dfrac{624.75.}{d}}\)

\(\underline{q = arctan\left(\dfrac{624.75}{d} \right)}\)

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Volume of the sphere is  1437.3 cube cm.

In the given picture of Sphere, we have

Radius of the Sphere is 7 cm

To find the Volume of the Sphere

Now, According to the question;

We know that

Volume (V) of the Sphere is  = \(\frac{4}{3}\)π\(r^3\)

Plug the value of radius in above formula

V = \(\frac{4}{3}\) × \(\frac{22}{7}\) × 7 × 7 × 7

V = 4/3 × 22 × 7 × 7

V = 4,312 / 3

V =  1437.3 cube cm.

Hence, Volume of the sphere is  1437.3 cube cm.

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Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

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Answer:

x=24 or x= −24

Step-by-step explanation:

Step 1: Take square root.

x = ± √576

x=24 or x= −24

Answer:

3/8

Step-by-step explanation:

= (1/4 + 1/2 )/2

= 3/4 ÷ 2

= 3/(4×2)

= 3/8 (final answer)

Answer:

3/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given function:

x-coordinate of the vertex is:

The axis of symmetry is the vertical line that passes through the vertex:

Step-by-step explanation:

For Pythagoras' Theorem to be valid, the triangle must be a right-angled one.

The formula is:

c^2 = a^2 + b^2

Where c is the longest side. While a,b are the side lengths.

Using the above formula and the measurements given in the question, we can find the value of x.

By Pythagoras' Theorem,

26^2 = (5x)^2 + (12x)^2

676 = 25x^2 + 144x^2

169x^2 = 676

x^2 = 676 ÷ 169

x^2 = 4

x = 2

Answer:

The values that have 2 significant figures are;

A. 0.0056

D. 4500

Both A and D are correct

Explanation:

We want to find which of the values have 2 significant figures.

From the opthoins;

0.0056 -----------2 significant figure

0.356 ------------3 significant figure

1200.1 -------------5 significant figure

4500 --------------2 significant figure

Therefore, the values that have 2 significant figures are;

A. 0.0056

D. 4500

Both A and D are correct

Answer:

d = 1

Step-by-step explanation:

-12d - 6 = -2 (d + 3) - 10d

-12d - 6 = -2d - 6 - 10d

-12d - 6 = -12d - 6

-12d = -12d

d = d = 1

The cost of each pen is $25. This can be solved using unitary method.

In the unitary technique, the value of a single unit is determined first, and then the value of the required number of units is determined.

When employing ratio and proportion to solve a problem, it is essential to comprehend the units and values.

To make things simpler, always place the known facts on the left and the things that need to be calculated on the right. The number of apples in the aforementioned situation is known, but it is unclear how much the fruit is worth on the market.

It should be stressed that the unitary technique applies the notions of ratio and proportion to problems.

Let the cost of each pen be x .

then according to the question, the cost of book will be x-10

now

90 = 3x + x - 10

x = 25

hence the cost of the book is x - 10 = 15

and the cost of each pen is 25

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sin A = 4/12 = 1/3

sin inv 1/3 = 19.47⁰

Answer:

option 4, 19.47°

Step-by-step explanation:

From angle A, the given side length are opposite and hypotenuse

SOH CAH TOA is

sinx = opposite / hypotenuse

cosx = adjacent / hypotenuse

tanx = opposite / adjacent

visual representation below

the given length fits the characteristic to use sin

sinA = opposite / hypotenuse

sinA = 4 / 12

common facto is 4 it becomes sinA = 1 / 3

Apply trig inverse property,

x = arcsin(1/3)

x = 19.47122°

Answer:

B

Step-by-step explanation:

The y-intercept (or initial value) is 3 which means the coefficient of the exponential term is 3. The only answer choice that follows this is choice B.

The Probability that a student will complete the exam 0.2676.

The probability of completing the exam in one hour or less is:

\(P (x < 60)\)

= \(P (z < (60-83)/13)\)

=\(P (z < -1.77)\)

= 0.0384.

The probability that a student will complete the exam in more than 60 minutes, but less than 75 minutes is.

\(P (60 < x < 75)\)

= \(P (x < 75)-P (x < 60)\)

Now,

\(P (x < 75)\)

=\(P (z < (75-83)/13)\)

= \(P (z < -0.62)\)

=0.2676.

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The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Answer:

B, D and E

Step-by-step explanation:

I just need 20 characters

Answer:

first option is correct.

Step-by-step explanation:

Answer:

C. -16a(5)b³c²

Answer:

I can't see the statement

Step-by-step explanation:

Final answer:

I would play the game because we could win with probability 17/27.

Information about the possibility that something will happen is provided by probability. For instance, meteorologists use weather patterns to forecast the likelihood of rain. Probability theory is utilized in epidemiology to comprehend the connection between exposures and the risk of health outcomes.

According to the First Law of Probability, the outcomes of one chance event have no bearing on those of succeeding chances occurrences. Consequently, the chance of getting heads the second time you flip it remains at 1 in 2. The chances of getting heads on the sixth flip, even if you got five consecutive heads, stay at 12.

Everyday existence heavily relies on probability. Weather predictions, sports and gaming tactics, insurance purchases or sales, internet shopping, and online gaming.

Explanation:

If both of your dice, or at least one of them, match at least one of the other player's dice, you win. This provides us five scenarios where we win. Let's use the letters A, B, C, and D to represent the results of the dice, with your dice being A and B and the other player's being C and D. The five possibilities are:

1) \(A = B\)

2) \(A = C\)

3) \(A = D\)

4) \(B = C\)

5) \(B = D\)

A B C D

1) \(6 * 1 * 6 * 6\) A can be anything, B has 1 option, C and D can be anything.

2) \(6 * 5 * 1 * 6\) A can be anything, C has 1 option, A != B so B has 5 options.

3) \(6 * 5 * 5 * 1\) A can be anything, D has 1 option, A !=B and A != C so B and C have 5 options.

4) \(5 * 6 * 1 * 5\) B can be anything, C has 1 option, A != B and A != D so B and D have 5 options.

5) \(5 * 6 * 4 * 1\) B can be anything, D has 1 option, A != B so A has 5 options, C != A and C != B so it has 4 options.

Therefore, it becomes \((6^3 + 6^2*5 + 2*6*5^2 + 6*5*4) / 6^4\)

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Answer:

$13.59

Step-by-step explanation:

((2 1/2)lbs grapes)*($2.64/lbs grapes) + ((2 3/4)lbs strawberries)*($3.09 lbs strawberries) = total cost before discount.

Total Cost = (2.5)*(2.64) + (2.75)*(3.09)

Total Cost =  15.0975 round to $15.10

10% discount = (1 - 0.10) = 0.90

(0.90)*($15.10) = $13.59

If you are reflecting a coordinate across the x-axis, the y coordinate will flip. For example, if you reflect 4,9 across the x-axis you will get 4,-9, and if you reflect 2,-7 across the x-axis you will get 2,7. So whatever your answer is, you basically just have to add or remove the negative symbol on the y coordinate.

(a) The smallest positive value of n for which a simple graph on n vertices and 2n edges can exist is 3. An example of such a graph for the smallest n is a triangle, where each vertex is connected to the other two vertices.

In this case, we have 3 vertices and 2n = 2 * 3 = 6 edges, which satisfies the condition.

To determine the smallest positive value of n, we need to consider the conditions for a simple graph:

1. Each vertex must be connected to at least one other vertex.

2. There should be no multiple edges between the same pair of vertices.

3. There should be no self-loops (edges connecting a vertex to itself).

Considering these conditions, we start by trying with the smallest possible n, which is 3. We construct a graph with 3 vertices and connect each vertex to the other two vertices, resulting in a triangle. This graph satisfies the conditions and has 2n = 2 * 3 = 6 edges.

(b) To prove that G is connected, we will use a proof by contradiction.

Assume that G is not connected, meaning it has two or more components. Let's consider two distinct components, C1 and C2.

Since G has at most two components, each component can have at most 10 vertices (20 vertices / 2 components). Let's assume C1 has x vertices and C2 has y vertices, where x + y ≤ 20.

Now, let's consider two vertices u and v, where u belongs to C1 and v belongs to C2. According to the given condition, deg(u) + deg(v) > 19.

Since deg(u) represents the degree of vertex u, it means the number of edges incident to vertex u. Similarly, deg(v) represents the degree of vertex v.

In C1, the maximum possible degree for a vertex is x - 1 (since there are x vertices, each connected to at most x - 1 other vertices in C1). Similarly, in C2, the maximum possible degree for a vertex is y - 1.

Therefore, deg(u) + deg(v) ≤ (x - 1) + (y - 1) = x + y - 2.

But according to the given condition, deg(u) + deg(v) > 19. This contradicts the assumption that G has at most two components.

Hence, our assumption that G is not connected is false. Therefore, G must be connected.

In conclusion, if a simple graph G has 20 vertices, at most two components, and every pair of distinct vertices satisfies the inequality deg(u) + deg(v) > 19, then G is connected.

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Answer: Part A:

To find the x-intercepts of the graph of f(x), we need to set f(x) equal to zero and solve for x:

-16x2 + 60x + 16 = 0

Divide both sides by -4 to simplify:

4x2 - 15x - 4 = 0

We can use the quadratic formula to solve for x:

x = (-b ± sqrt(b2 - 4ac)) / 2a

Where a = 4, b = -15, and c = -4.

x = (-(-15) ± sqrt((-15)2 - 4(4)(-4))) / 2(4)

x = (15 ± sqrt(385)) / 8

Therefore, the x-intercepts are approximately 0.256 and 3.194.

Part B:

The coefficient of the x2 term in f(x) is -16, which is negative. This means that the graph of f(x) opens downward, so the vertex is a maximum.

The x-coordinate of the vertex can be found using the formula:

x = -b / 2a

Where a = -16 and b = 60.

x = -60 / 2(-16) = 1.875

To find the y-coordinate of the vertex, we can plug in this value of x into the equation for f(x):

f(1.875) = -16(1.875)2 + 60(1.875) + 16 = 80.25

Therefore, the coordinates of the vertex are (1.875, 80.25).

Part C:

To graph f(x), we can use the information we obtained in Part A and Part B. We know that the x-intercepts are approximately 0.256 and 3.194, and the vertex is at (1.875, 80.25).

We can also find the y-intercept by plugging in x = 0:

f(0) = -16(0)2 + 60(0) + 16 = 16

Therefore, the y-intercept is (0, 16).

Using all of this information, we can sketch the graph of f(x) as a downward-opening parabola with x-intercepts at approximately 0.256 and 3.194, a vertex at (1.875, 80.25), and a y-intercept at (0, 16).

Step-by-step explanation:

Answer:

the answer is 16 ounces

Step-by-step explanation:

16 ounces costs $2.40 20 costs $3.00 and 32 costs $4.80

Riemann sums are calculated by dividing the area under a curve into subintervals and approximating the area in each interval using a rectangle.

Riemann sums are a method of approximating the area under a curve by dividing the area into smaller subintervals and approximating the area in each interval using a rectangle. The width of each rectangle is determined by the size of the subinterval, and the height of the rectangle is determined by the value of the function at a specific point within the subinterval.

The sum of the areas of all the rectangles gives an approximation of the total area under the curve. The accuracy of the approximation increases as the width of the subintervals decreases, and as the number of subintervals increases, the approximation approaches the exact value of the area under the curve.

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Answer:

A parallelogram is a quadrilateral with 2 pairs of parallel sides

Answer:

yes

Step-by-step explanation:

6^2+8^2=10^2

following the pythagoras theorem this triangle is right triangle