Write the equation for a parabola with a focus at ( 7, 2) and a directrix at y = -2
y = ?

Answers

Answer 1
A parabola with an equation, y2 = 4ax has its vertex at the origin and opens to the right.
It's not just the '4' that is important, it's '4a' that matters.
This type of parabola has a directrix at x = -a, and a focus at (a, 0). By writing the equation as it is, the position of the directrix and focus are readily identifiable.
For example, y2 = 2.4x doesn't say a great deal. Re-writing the equation of the parabola as y2 = 4*(0.6)x tells us immediately that the directrix is at x = -0.6 and the focus is at (0.6, 0)

Related Questions

Plz help with this question I don’t get it is an image

Answers

Answer:

D

Step-by-step explanation:

For this question, we know that x represents the thousands of square feet in the stadium. We also know that the stadium is 18 thousand square feet. Therefore, the amount of thousands of square feet, or x, is 18. We can then plug 18 in for x in the equation, getting

[tex]C(x) = \frac{7250000}{18+60} \\= \frac{7250000}{78}\\= 92948[/tex]

as our cost

Hello, please I bed urgent help with this math problem please

Answers

Answer:

option C

Step-by-step explanation:

[tex]4c^2 + 7c - 5 = 0 , \ where \ a = 4 , \ b = 7 , \ x = - 5[/tex]

[tex]c = \frac{- b \pm \sqrt{b^2 - 4ax }}{2a} \\\\c = \frac{- 7 \pm \sqrt{49 - ( 4 \times 4 \times - 5 )}}{2 \times 4} \\\\c = \frac{- 7 \pm \sqrt{49 + 80}}{8} \\\\c = \frac{- 7 \pm \sqrt{49 + 80}}{8} \\\\c = \frac{- 7 \pm \sqrt{129}}{8} \\\\[/tex]

Answer:

Option C

Step-by-step explanation:

Quadratic formula:

[tex]4c^{2} +7c-5=0[/tex]

[tex]a=4\\b=7\\x=-5[/tex]

[tex]c=\frac{-b\frac{+}{} \sqrt{b^2-4ax}}{2a}[/tex]

[tex]c=\frac{-7\frac{+}{}49-(4*4*-5) }{2*4}[/tex]

[tex]c=\frac{-7\frac{+}{}\sqrt{129} }{8}[/tex]

hope this helps....

'निसंस्मरण' कसको कृति हो​

Answers

Answer:

ok

Step-by-step explanation:

Given that a*b = 2ab - 3b. Determine 2*(3*5)​

Answers

Answer:

15

Problem:

Given that a*b = 2ab - 3b. Determine 2*(3*5)​

Step-by-step explanation:

First we find 3*5 using rule a*b = 2ab - 3b.

3*5=2(3)(5)-3(5)

3*5=30-15

3*5=15

Now we are left with 2*15 in which we will still use the rule a*b=2ab-3b.

2*15=2(2)(15)-3(15)

2*15=60-45

2*15=15

Therefore, 2*(3*5)=15.

NO LINKS OR ANSWERING IF YOU DON'T KNOW!!!!

Determine the intervals where the value of f(x) is negative, when
f(x) = (x + 7)(2x - 3)(x - 5). Choose all that apply.

a. -∞ < x < -7
b. -7 < x < 3/2
c. 3/2 < x < 5
d. 5 < x < ∞

Answers

9514 1404 393

Answer:

  a, c

Step-by-step explanation:

There are 3 linear factors, so the function is odd degree (cubic). The coefficients of x are all positive, so the function has the general shape of an increasing function, left-to-right. The three linear factors mean that the curve crosses the x-axis 3 times, changing sign each time.

The x-intercepts are the values of x that make the factors zero: -7, 3/2, 5. The shape of the function tells you it will be negative for x < -7. Between -7 and 3/2, it will be positive, since it changes sign at x=-7. It changes sign again at x=3/2, so will be negative for 3/2 < x < 5.

In short, the function will be negative at any point that has an odd number of function zeros to its right (taking multiplicity into account).

The function is negative on intervals (a) and (c).

The heights of students in a class are normally distributed with mean 63 inches and standard deviation 4 inches. Use the Empirical Rule to determine the interval that contains the middle 68% of the heights.

Answers

Answer:

The interval that contains the middle 68% of the heights is between 59 and 67 inches.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 63, standard deviation of 4.

The interval that contains the middle 68% of the heights.

By the Empirical rule, within 1 standard deviation of the mean. So

63 - 4 = 59

63 + 4 = 67

The interval that contains the middle 68% of the heights is between 59 and 67 inches.

Pls Help! the question is down below

Answers

Answer: A

Please mark brainliest!

The regular price of color TV is $519.39. During a sale, Hill Tv is selling the Tv is selling the Tv for $421.91. Determine the percent decrease in the price of the Tv

Answers

There is a 18.7% decrease

-2(8-5) Distributive Property

Answers

Answer:

Step-by-step explanation:

- 2 ( 8 - 5 ) = ( - 2 x 8 ) - ( - 2 x 5)

                = - 16 - ( - 10)

                = - 16 + 10

                = - 6

The amount of time needed to complete a job, t, varies inversely with the number of workers, w. If 10 workers can complete a job in 20 minutes, how many minutes would it take 5 workers?

Answers

it would take 40 minutes for 5 workers

The amount of time needed to complete a job by 5 workers is

40 minutes.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

The amount of time needed to complete a job, t, varies inversely with the number of workers.

Number of workers = W

Time to complete 1 work  = T

This means,

T = 1 / W

W = 1 / T

10 workers can complete a job in 20 minutes.

This can be written as:

10 W = 1 / 20

Divide 10 on both sides.

1 W = 1 / 200

This means,

1 worker can complete a job in 200 minutes.

Now,

1 W = 1/ 200

Multiply 5 on both sides.

5 W = 5/200

5 W = 1 / 40

This means 5 workers will take 40 minutes to complete the work.

Thus,

The amount of time needed to complete a job by 5 workers is

40 minutes.

Learn more about unit rates here:

https://brainly.com/question/11258929

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Consider all four-digit numbers that can be made from the digits 0-8 (assume that numbers cannot start with 0). What is the probability of choosing a random number from this group that is less than or equal to 4000

Answers

Answer:

The probability is:

P = 0.375

Step-by-step explanation:

First, we need to find the total number of four-digit numbers that can be made with the digits 0-8, such that the first digit can not be zero.

To do this, we first need to find the number of selections that we have, in this case, there are 4, one for each digit in our 4-digit number.

Now let's count the number of options that we have for each one of these selections:

first digit: we have 8 options (because the 0 can not be here)

second digit: we have 9 options (because now the zero can be taken)

third digit: we have 9 options

fourth digit: we have 9 options.

The total number of combinations is equal to the product of all the numbers of options, this is:

C = 8*9*9*9 = 5,832

Now we need to find how many of these are less or equal than 4000.

So now let's count the options again:

first digit: 3 options {1, 2, 3}

second digit: 9 options

third digit: 9 option

fourth digit: 9 options

Total number of combinations:

C' = 3*9*9*9 = 2,187

Here we should also count the combination for the number 4000 itself, as it was not counted in our previous calculation, then we have:

C' = 2,187 + 1 = 2,188 combinations.

The probability of randomly choosing a number that is smaller than or equal to 4000 will be equal to the quotient between the number of combinations that are smaller than or equal to 4000 (2,188 combinations) and the total number of combinations (5,832)

this is:

P = 2,188/5,832 = 0.375

The Independent party received one-eleventh of the 6,185,894 votes cast. How many votes did the party receive?

Answers

Answer:

562,354 votes

Step-by-step explanation:

1/11 of 6,185,894

=>1/11 x 6,185,894

=>562,354

What is the range of this function?

Answers

Answer:

D. {-8, -5, 3, 7}

Step-by-step explanation:

__________

PLEASE HELP!!!

WILL MARK BRAINLIEST

WORTH A LOT OF POINTS!!!!!!!
In circle P, m WPX = 28 degrees, m ZPY = 38 degrees. ZW and VX are diameters. Find each angle measure.

Answers

Answer:

2.28°

3.28°

4.28°

5.114°

6.180°

7.114°

8.332°

9.322°

10.152°

Step-by-step explanation:

The required measure of the angles are given as,
2] 28°       3]  28°     4]  28°      5]  114°   6]  180°   7]  114°   8] 332°   9]  322° and   10]  152°.

Given that,
In circle P, m WPX = 28 degrees, m ZPY = 38 degrees. ZW and VX are diameters. Find each angle measure.

What is the angle?

orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

The diameter of the circle has a measure of angle 180°,
So, mVXZ = 180°,
Since,
mVZ = mWX
mVZ = 28°
Similarly, all the angles can be evaluated,

Thus, the required measure of the angles are given as,
2] 28°       3]  28°     4]  28°      5]  114°   6]  180°   7]  114°   8] 332°   9]  322° and   10]  152°.

Learn more about Angles here:
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please help! (listing BRAINLIST and giving points) ​ :)​

Answers

Answer:

Tan B = 12/5

Sin B = 12/13

Cos B = 5/13

Step-by-step explanation:

sine B =  opposite (12)/hypotenuse (13)

          = 12/13

Cosine B = adjacent/hypotenuse

               = 5/13

Tangent B = opposite/adjacent

                 = 12/5

Here is a picture that can always help you with the three trig ratios.

3x – 4(x - 4) + 4 = 13
Solve for x step by step
Please answer quickly

Answers

Answer:

7

Step-by-step explanation:

3x – 4(x - 4) + 4 = 13

=> 3x - 4x + 16 + 4 = 13

=> - x + 20 = 13

=> - x = 13 - 20

=> - x = - 7

=> x = 7

Answer:

x = 7

Step-by-step explanation:

3x – 4(x - 4) + 4 = 13

3x - 4x + 16 + 4 = 13

-x + 20 = 13

-x + 20 - 20 = 13 - 20

-x = -7

(-x = -7)/-1

x = 7

Hope this helps.

PLEASE HELPP!!!!
Find the probability that a randomly selected point within the circle falls in the white area. r= 4 cm 2.5 cm 3 cm 3 cm [? ]% Round to the nearest tenth of a percent.​

Answers

Answer:

61.2%

Step-by-step explanation:

because i just did it and got it right

Which facts are true for the graph of the function below? Check all that apply.

Answers

Answer:

B.

C.

E.

F.

Step-by-step explanation:

A. no. any log(x) function is increasing. it says to what power I have to put the base to get x. and the bigger x, the bigger also that power number has to be. a log(x) increases much slower than x itself, but it increases.

B. any log(x) can only be calculated for positive x (and not 0).

C. of course. there are no gaps or breaks in a log(x) function. over time, with a growing x, we have to cover every possible y.

D. no. since (0,4) means x=0, this can't be true. as log(0) is power definition undefined (representing minus infinity).

E. yes. see A.

F. yes. for x=1 any log(x) function has to deliver 0 as functional value (to what power do I have to put my base to get 1 ? only base⁰ delivers 1. also 0.725⁰ = 1. therefore, (1,0) is a valid point on the graph.

what is there constant variation of y=kx through (5,8)

Answers

The value of constant of variation "k" is

Solution:

Given that the direct variation is:

y = kx ----- eqn 1

Where "k" is the constant of variation

Given that the point is (5, 8)

To find the value of "k" , substitute (x, y) = (5, 8) in eqn 1

Thus the value of constant of variation "k" is k = 8/5 or 1.6

I hope this is correct and helps!


Help please !!! I will mark brainlist!!

Answers

Answer:

x= -0.182 and +4

hope it helps

have a nice day

Can :) mean happily taken on a bio? Alex got it on his?
Answer ASAPPPP
Someone

Answers

Answer:

Yes,

Step-by-step explanation:

When " :) " is used in a bio it means the person is happy

|x| =3 means that the distance between x and 0 is 3 / true or false

Answers

Answer:

True

Step-by-step explanation:

if |x| is 3 then x is either -3 or 3. Either way, the distance from 0 is 3.

Hole this helps! :)

true because |x| is an absolute value so it has to be either -3 or 3

I need help I’ll give u brainlest

Answers

Answer:

[tex]150[/tex] cubic centimeters

Step-by-step explanation:

Volume for triangular prism is  [tex]V=\frac{1}{2} bhl[/tex]

[tex]V=\frac{1}{2}(6)(5)(10)[/tex]

[tex]V=\frac{1}{2} (300)[/tex]

[tex]V=150[/tex]

Hope this helps

Answer:

150 cubic centimeters

Step-by-step explanation:

The formula for the volume of a Triangular prism:

A=1/2*b*h*l

plug everything in

1/2*6*5*10=150 Cubic centimeters

Can anyone help me? Find the value of x

Answers

Answer:

x = 7

Step-by-step explanation:    6  25  13  55

since these are similiar triangles the sides of one triangle are equal to the other triangle by the same ratio

The ratio of 90/27  is the same as the (9x-13)/15  ratio

(9x-13)/15 = 90/27

9x - 13  = 15 × 90/27

9x - 13  = 15 × 3 1/3

9x - 13 =   50

9x  =  63

 x = 7

petrol cost 99p per litre. How much would 47 cost?​

Answers

Answer:

4653

Step-by-step explanation:

I am not sure if that 47 in also in litres but if yes then

step 1

1litre=99p

47litre=?

step2

cross multiply such that

47litre × 99p

step3

devide by by 1litre

47litre ×99p

------------------

1litre

so litre counsels litre then your answer will be in pounds so 47×97p÷1=4653

if u can answer all them correctly ill make a post for u and u can have all my coins just pls answer them all im begging

Answers

Answer: this is a continuation starting in number 4 (use the same steps as example 3)

Step-by-step explanation:

-12

45

-12

14

32

-2

5

The price of a 5-minute phone call is $1.75. What is the price of a 19-minute phone call?

Answers

Answer:

$6.65

Step-by-step explanation:

You could start by seeing the price of a 1 minute phone call. if you divide 1.75 by 5 it is 0.35. that means 1 minute costs $0.35. so the equation would be 0.35 times 19. which is 6.65 dollars.

5 minutes call = $1.75

1 minute call = $1.75/5 = $0.35

19 minutes call = $0.35 × 19 = $6.65

Find the surface area of a cylinder with radius 15 and height 4

Answers

Answer: A≈1790.71

Step-by-step explanation:

Answer:

1790.71

Step-by-step explanation:

You can just put this problem in search and it will you the answer

Determine the number of solutions to the given system without graphing. 2x + y = 2 2x +y = 5
one solution
no solution
infinite number of solutions

Answers

Infinite number of solutions I believe.

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The two lines are parallel, so do not intersect. There is no solution.

A bank charges 12% simple interest p.a on cash loans to its clients. Titos has asked for a R10 000 loan amount and has promised to repay the loan over 4 years.. 1.4.Calculate the interest which Titos should pay for the loan? 1.1.5. Calculate the total amount tito must pay back after 4 years. 1.1.6. Give one reason why people loan money from banks?​

Answers

Answer:

1.4. The interest Tito should pay would be R10000 * 12% = R1200 for his first year.

1.1.5. The total amount Tito must pay back after 4 years would be R10000 * (1 + 12%)^4 = R10000 * 1.57351936 = R15735.2 (cor. to 1 d. p.).

1.1.6. People loan money from banks due to financial troubles or to attain startup resources for a company or business venture.

Step-by-step explanation:

Hope this helped!

Answer:

4800

Explanation:

interest=principle × rate × time/100

interest=10000 ×12 × 4/100

interest= 480000/100

interest=4800

amount=interest+principle

amount=4800+10000

amount=14800

people loan money from banks because they need money at a particular point in time where they do not have it

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