100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

100 Points! Geometry Question. Photo Attached. Please Show As Much Work As Possible. Thank You!

Answers

Answer 1

Answer:

\(x^2+2y=1\)

Step-by-step explanation:

The equation of a parabola with a vertical axis of symmetry,

focus (h, k+p), and directrix x=h-p is given by:

\((x - h)^2 = 4p(y - k)\)

In this case, the focus is (0, 1) and the directrix is x =3.

Comparing this to the general equation,

we have

h = 0, k = 1, and x = h - p = 3.

From x = h - p, we can solve for p:

3 = 0 - p

p = -3

Substituting the values of h, k, and p into the equation, we get:

\((x - 0)^2 = 4(-3)(y - 1)\)

Simplifying further:

\(x^2 = -12(y - 1)\)

\(x^2=-12y+1\)

\(x^2+12y=1\)

Therefore, the parabola equation is \(x^2+2y=1\)


Related Questions

10. A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of _______ inch.
A. 3
B. 1/2
C. 1
D. 11/2 ​

Answers

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

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PLS HELP

Determine the measurement of KL

PLS HELP Determine the measurement of KL

Answers

The measurement of KL is given as follows:

KL = 5.86.

What are similar triangles?

Similar triangles are triangles that share these two features listed as follows:

Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.

Considering the similar triangles in this problem, the proportional relationship for the side lengths is given as follows:

8.7/KL = 7.8/LJ = 12.18/8.2

Hence the length KL is obtained as follows:

8.7/KL = 12.18/8.2

12.18KL = 8.2 x 8.7

KL = 8.2 x 8.7/12.18

KL = 5.86.

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Find the mean, median, mode 1. 40, 38,29,34,37, 22, 15, 38 2. 26, 32, 12, 18, 11, 14, 21, 12,27 3. 3,3,4,7,5,7,6,7,8,8,8. 9,8, 10, 12, 9, 15, 15
NEED THE ANSWER ASAP
NONSENSE, REPORT
i will (brainliest) if it's correct!!!​

Find the mean, median, mode 1. 40, 38,29,34,37, 22, 15, 38 2. 26, 32, 12, 18, 11, 14, 21, 12,27 3. 3,3,4,7,5,7,6,7,8,8,8.

Answers

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

Let's find the mean, median, and mode for each set of numbers:

Set: 40, 38, 29, 34, 37, 22, 15, 38

Mean: To find the mean, we sum up all the numbers and divide by the total count:

Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125

Median: To find the median, we arrange the numbers in ascending order and find the middle value:

Arranged set: 15, 22, 29, 34, 37, 38, 38, 40

Median = (29 + 34) / 2 = 63 / 2 = 31.5

Mode: The mode is the number(s) that appear(s) most frequently in the set:

Mode = 38 (appears twice)

Set: 26, 32, 12, 18, 11, 14, 21, 12, 27

Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222

Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32

Median = 18

Mode: No mode (all numbers appear only once)

Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15

Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611

Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15

Median = 8

Mode: Mode = 8 (appears 4 times)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

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Twenty-seven less than twice a number is -59

Answers

Answer:

yea

Step-by-step explanation:

Nice good beautiful

On the school playground, the slide is 7 feet due west of the tire swing and 7 feet due south of the monkey bars. What is the distance between the tire swing and the monkey bars? If necessary, round to the nearest tenth.

Answers

Given:

the slide is 7 feet due west of the tire swing and 7 feet due south of the monkey bars.

As we know east and west are perpendiculars

So, the distance will be the hypotenuse of a right triangle with legs of 7 feet

So, using the Pythagorean theorem

The distance = d, will be calculated as follows:

\(\begin{gathered} d^2=7^2+7^2=2\cdot7^2 \\ \\ d=\sqrt[]{2\cdot7^2}=7\sqrt[]{2}\approx9.899 \end{gathered}\)

Rounding to the nearest tenth

so, the answer will be distance = 9.9 feet

I need the answer fast pls

I need the answer fast pls

Answers

Answer:

C. is the correct answer

A button machine produces one button in 0.15 seconds. How many buttons are produced in 48.6 seconds?

Answers

7 because if you multiply 48.6 times 0.15 then you would have 7.29 but you have to round down because there’s no half a button

Answer: 324 buttons

Step-by-step explanation:

1 button in 0.15 seconds = x buttons in 48.6 second d

1 / 0.15 = x / 48.6 (cross multiplication )

48.6/0.15 = 324

recall from example 3 in section 1.3 that the set of diagonal matrices in m2x2(f) is a subspace. find a linearly independent set that generates this subspace.

Answers

A linearly independent set that generates the subspace of diagonal matrix in M2x2(F) is {[1,0;0,0], [0,0;0,1]}.

A subspace of M2x2(F) is a set of all diagonal matrices, which are matrices of the form [a,0;0,b] with a, b∈F.

A linearly independent set of vectors that generate this subspace is {[1,0;0,0], [0,0;0,1]}. Any diagonal matrix can be written as a linear combination of these two vectors.

A subspace of M2x2(F) is a set of all diagonal matrices, which are matrices of the form [a,0;0,b] with a,b∈F. This means that all the diagonal entries in the matrix must be non-zero. To find a linearly independent set that generates this subspace, we can start by considering the simplest form of a diagonal matrix, which is [1,0;0,0]. This vector is linearly independent, as it cannot be expressed as a linear combination of any other vector in the space. Similarly, [0,0;0,1] is also linearly independent, as it can't be expressed as a linear combination of any other vector.

These two vectors form a linearly independent set that generates the subspace of diagonal matrices in M2x2(F). Any diagonal matrix can be written as a linear combination of these two vectors. For example, the matrix [2,0;0,3] can be expressed as 2[1,0;0,0]+3[0,0;0,1]. Thus, this set of vectors is sufficient to generate the entire subspace.

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Please need help on this one

Please need help on this one

Answers

Step-by-step explanation:

Since Angle DAB = 90°,

DB is the diameter of the circle.

Therefore m(Arc DA) + m(Arc AB) = 180°.

=> m(Arc AB) = 180° - 47° = 133°.

−5a – ( 6a + 3) + 8}
plz help show step by step

Answers

Answer:

11a+5

Step-by-step explanation:

-5a-6a-3+8

=11a+5

hyun is on a game show. points are added for the correct answer and subtracted for incorrect answers. at the end of the second round he has five points and the third round he loses 5 points how many points does hyun have after the third round ?show your work​

Answers

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The number of points at the end of second round is :

5 points

and if he loses all the 5 five points in the third round then the number of point he is left with is :

5 - 5

0 points

If y varies directly with x which equation describes x = 72 and y = 36?

Answers

Answer:

k = 1/2

Step-by-step explanation:

direct variation equation is y = kx where 'k' is the constant of variation

substitute 36 for 'y' and 72 for 'x' to get:

36 = 72k

solve for 'k' to get:

k = 36/72 or k = 1/2

Order this set of integers from greatest to least:


Order this set of integers from greatest to least:

Answers

Answer:

55

32

-3

-8

-19

-32

Step-by-step explanation:

Factorise the given expression compleyely.
1. 2x(4-7)+(-7+4)

Answers

Answer:

The answer is:-

(2x+1)(4-7)

Complete the statement. Round to the nearest hundredth if necessary. 3c≈(blank)mL

Complete the statement. Round to the nearest hundredth if necessary. 3c(blank)mL

Answers

Therefore, the complete statement is: "3 liters is equal to 3000 milliliters."

What is equation?

In mathematics, an equation is a statement that two expressions are equal. It contains one or more variables and may also contain constants and coefficients. The values of the variables that make the equation true are called solutions or roots of the equation. Equations are used in a wide range of mathematical applications, including algebra, calculus, geometry, and physics. Solving equations involves manipulating the expressions in the equation to isolate the variable and determine its value.

Here,

This statement relates to the conversion between liters (l) and milliliters (mL). The complete statement is:

"3 liters is equal to x milliliters."

To find the value of x, we can use the conversion factor: 1 liter = 1000 milliliters. So, we have:

3 liters = 3 x 1000 milliliters

= 3000 milliliters

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how many eighth notes are in a sixteenth note

Answers

Answer:

two sixteenth notes

Step-by-step explanation:

Answer:

1/2 of an eighth notes are in a sixteenth note

Step-by-step explanation:

2 sixteens = 1 eight

good luck, hope this helps :)

show that the medians of the triangle with (non-colinear) vertices (a1, a2, a3) intersect at a1 a2 a3 3

Answers

The medians of a triangle connect the midpoints of each side and intersect at the centroid of the triangle.

Medians of a triangle are lines that connect the midpoints of each side of the triangle to the opposite vertex. This means that they divide the triangle into two halves, each with an area that is equal to half of the area of the entire triangle. The medians of a triangle with vertices (a1, a2, a3) intersect at a point known as the centroid of the triangle, which is located at the intersection of the three medians. The centroid can be found by taking the average of the three vertices, or by finding the intersection of the three medians. The centroid is the point at which the three medians of the triangle intersect and is the center of gravity for the triangle. In other words, it is the point that all three medians will intersect at.

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19. A laptop is marked down from $1250 to $925. What is the percent
change? *

Answers

Answer:

It is marked down by 26 percent.

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

It would be marked down by 26%.

PLEASE ANSWER ASAP FOR BRAINLEST, REALLY EASY QUESTION!!!!!!!!!!!!!!!!!!!!!!!

PLEASE ANSWER ASAP FOR BRAINLEST, REALLY EASY QUESTION!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

A. . . . . . . . . . .

A house was valued at $299,000 . Over several years, the value decreased by, 9% giving the house a new value.
(a) Fill in the blank to write the new value in terms of the old value.
Write your answer as a decimal.

(b) Use your answer in part (a) to determine the new value.

Answers

Answer:

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

Step-by-step explanation:Make A Plan:

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

SOLVE THE PROBLEM:

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

As A DECIMAL:

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

Draw the conclusion:

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

PLEASE HELP ASAP!!!
I'd really appreciate the help, thanks in advance.

The questions below can be solved using the relation between angular size, physical size and distance. For the questions below, provide a complete solution with explanation.

1. Find the Sun's diameter. The sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. What is the sun's approximate physical diameter? Compare your answer to the actual value of 1 390 000 km.

2. Find a Star's Diameter. The supergiant star Betelgeuse (in the constellation Orion) has a measured angular diameter of 0.040 arcsecond from Earth and a distance from Earth of 720 light-years. What is the actual diameter of Betelgeuse? Compare your answer to the size of our Sun and the Earth-Sun distance.

Answers

The physical diameter of the sun will be 1309000km and the percentage of difference between the diameters will be 5.8%.

How to calculate the diameter?

From the information, the sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. The angular diameter in radians will be:

= 0.5π / 180

= 0.008727 radians

Distance from the sun = 150 × 10^6

The physical diameter of the sun will be:

= 150 × 10^6 × 0.008727

= 1309000km

The difference between the diameters will be:

= 1390000 - 1309000

= 8.1 × 10^4.

The percentage of difference will be:

= (8.1 * 10^4) / 1390000 × 100

= 5.8%

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The value of a sculpture is increasing 5% every month. The original value of the sculpture is $6400. Identify the exponential growth function to model this situation. Then find the value of the sculpture after 30 months.

Answers

Answer:

Function: 6400(1.05)^x

The value $27660.43

Why is y = 63?? Isn’t (x-5)+51+(y-6)=180??

Why is y = 63?? Isnt (x-5)+51+(y-6)=180??

Answers

Answer:

coz it is

Step-by-step explanation:

the angle is 57° , so y is 63 as 63-6 = 57

in a survey of a school 300 student favour to play volleyball 200 student favour to play cricket and 110 favour both find the number of students who favour to play cricket only and find the number of student who favour to play either volleyball or cricket​

Answers

If 110 students play both
The 300 that play volleyball includes them.
That’s mean that 190 (300-110) play only volleyball
Also (the same) 200 play cricket, so only cricket play 90 students (200-110)
Answer: either volleyball or cricket is
(300-110)+(200-110) = 190+ 90 = 280
Answer: 280

Is F(X) =9 to x power a exponential decay?

Answers

No it is growth. If it was a fraction the the X power then it would be decay.

question in picture thank you

question in picture thank you

Answers

The correct equation is:  5/6 - 1/6 = 4/6

What you mean by term Number line ?

A number line is a visual representation of numbers, ordered from left to right, where each point on the line corresponds to a number. The number line can be used to represent a wide range of numbers, including integers, fractions, decimals, and even negative numbers.

On a basic number line, 0 is located in the center, with positive numbers to the right and negative numbers to the left. The numbers are usually evenly spaced, with tick marks or dots indicating each value. The distance between any two points on the number line represents the difference between the corresponding numbers.

According to question Option D is correct

This is because starting at 5/6 and ending at 1/6 involves moving in the negative direction on the number line. To find the distance between these two points, we need to subtract the smaller number (1/6) from the larger number (5/6).

So, 5/6 - 1/6 = 4/6, which simplifies to 2/3. This means that the distance between 5/6 and 1/6 on the number line is 2/3.

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The expression x−y equals 0.7 if x and y have certain values. Evaluate the following expressions with the same values of x and y. What is y−x?

Answers

Answer:

-0.7

Step-by-step explanation:

\(x-y=0.7\)

You can choose any digits you wish for \(x\) and \(y\) but the difference must be 0.7. I chose 1.0 and 0.3.

\(x=1\\y=0.3\\x-y=0.7\\\\y-x=\\0.3-1=\\-0.7\)

Help me pls if you can

Help me pls if you can

Answers

Answer:

c.

Step-by-step explanation:

1. 5 2/3 = 5 4/6

a. 2 x 2 = 4

b. 3 x 2 = 6

2. 5 4/6 - 4 1/6 = 1 3/6 = 1 1/2 = a

a. 4/6 - 1/6 = 3/6 = 1/2

b. 5 - 4 = 1

c. a = 1 1/2

what is the slope of the line that passes through the points (0,0) and (5,20)

Answers

Answer:

The slope is 4

Step-by-step explanation:

hope this helps!

What should substitution should've ended used to rewrite x^8-3x^4+2=0 as a quadratic equation

Answers

Step-by-step explanation:

is the answer something like x^12=-2

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