Find the equation for the
following parabola.
Focus (0,5)
Directrix y = -5
A. y2 = 20%
B. X2 = 5y
C. X2 = 20
D. y2 = 5x

Find The Equation For Thefollowing Parabola.Focus (0,5)Directrix Y = -5A. Y2 = 20%B. X2 = 5yC. X2 = 20D.

Answers

Answer 1

Answer:

C

Step-by-step explanation:

For any point (x, y) on the parabola the focus and directrix are equidistant

Using the distance formula

[tex]\sqrt{x^2+(y-5)^2}[/tex] = | y + 5 | ← square both sides

x² + (y - 5)² = (y + 5)² ← expand parenthesis on both sides

x² + y² - 10y + 25 = y² + 10y + 25 ( subtract y² - 10y + 25 from both sides )

x² = 20y


Related Questions

Solve [tex]27 = 3^4^x^+^1[/tex]



A. 1/4

B. 1/2

C. 2

D. 4

Answers

Answer:

1/2

Step-by-step explanation:

27 = 3 ^(4x+1)

Rewriting 27 as 3^3

3^3 = 3 ^(4x+1)

Since the bases are the same, the exponents are the same

3 = 4x+1

Subtract 1

3-1 = 4x+1-1

2 =4x

Divided by 4

2/4 = 4x/4

1/2 =x

The distance traveled (in meters) by an insect is modeled by the equation
d=0.3t where d is the distance traveled in meters and t is the time in minutes.
Find the distance traveled in 26.3 minutes.
A. 0.789 meters
B. 7.89 meters
C. 26 meters
D. 87.67 meters

Answers

Answer:

c

Step-by-step explanation:

Distance travelled in [tex]26.3[/tex] minutes from the given equation model is equals to [tex]7.89[/tex] meters.

What is distance?

" Distance is defined as the total length between two end points representing one of the dimension."

According to the question,

Given equation,

[tex]d = 0.3 t[/tex]

[tex]'d'[/tex] represents the distance travelled in meters

[tex]'t'[/tex] represents the time in minutes.

As per the given condition distance travelled in [tex]26.3[/tex] minutes is given by,

[tex]d = 0.3 \times 26.3\\\\\implies d = 7.89 meters[/tex]

Hence, Option(B) is the correct answer.

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2- b/3 = -5/2...................

Answers

Answer:

b = 7.5

[tex]b=7\frac{1}{2}[/tex]

[tex]b=\frac{15}{2}[/tex]

Step-by-step explanation:

[tex]\frac{-b}{3}= \frac{-5}{2}[/tex]

- b × 2 = - 5 × 3

- 2b = - 15

- 2b ÷ - 2 = - 15 ÷ - 2

b = 7.5

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]b=\frac{27}{2}[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating The Answer...}}\\\\2-\frac{b}{3}=-\frac{5}{2}\\--------------\\\rightarrow 2 - 2 -\frac{b}{3}=-\frac{5}{2}-2\\\\\rightarrow-\frac{b}{3}=-\frac{9}{2}\\\\\rightarrow (-\frac{b}{3})3=(-\frac{9}{2})3\\\\\rightarrow -b = -\frac{27}{2}\\\\\rightarrow \frac{-b = -\frac{27}{2}}{-1}\\\\\rightarrow \boxed{b=\frac{27}{2}}\text{ or } \boxed{b=13.5}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Q- y = 7 is a line which is-(A) Parallel to y-axis (B) Parallel to x-axis (C) Passing through (7, 7) (D) Passing through origin​

Answers

Answer:  (B) Parallel to x-axis

===================================================

Explanation:

Every point on the line y = 7 has a y coordinate of 7. Two such points are (0,7) and (1,7). The x coordinate can be anything you want. This line is completely horizontal and parallel to the x axis.

We can think of y = 7 as y = 0x+7. It's of the form y = mx+b with m = 0 as the slope and b = 7 as the y intercept.

eigthy millimetes as a percentage of one metre is
8
80
800
8000​

Answers

Answer:

8%.

Step-by-step explanation:

There are 1000 millimeters in 1 meter.

So the percentage is (80/1000) * 100

= 80/10

= 8%.

0.08 meters that’s what it should be i think

BRAINLEST!!! PLEASE HELP ME WITH THIS QUESTION AND IF IT'S CORRECT I WILL DEFINITELY GIVE YOU THE BRAINLEST!!!

Answers

Answer:

327.6

Step-by-step explanation:

280x1.17 to find the amount of euros you will get

280x1.17=327.6

P(-3,6), Q(-3,-6) and R(6,-2) are the vertices of a triangle. Calculate the perimeter of this triangle.​

Answers

Answer:

33.89

Step-by-step explanation:

the side lengths are the distances between the corner points of the triangle.

P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.

PQ = 6 - (-6) = 6 + 6 = 12

QR and RP are trickier.

we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.

QR :

QR² = (-3 - 6)² + (-6 - -2)² = (-9)² + (-4)² = 81 + 16 = 97

QR = sqrt(97) ≈ 9.848857802

RP :

RP² = (6 - -3)² + (-2 - 6)² = 9² + (-8)² = 81 + 64 = 145

RP = sqrt(145) ≈ 12.04159458

the perimeter/circumference of the triangle is the sum of all 3 sides

= 12 + sqrt(97) + sqrt(145) ≈ 33.89

13 ft

60 Ft

If the grain pile has a diameter of 60 feet and a height of 13 feet, what is the volume of the grain pile?

o A. 3900TT ft

B. 11700 ft

o C. 260 TT ft3

D. 15600TT ft3

Answers

Answer:

if I'm correct I think it's B

Instructions: Match each step with the correct ordered description for how to construct a copy of line

Answers

The correct steps of how to construct a copy of line with the aid of a compass would be given below as follows

How to construct a line segment?

To construct a line segment, the correct matching of the steps are given below as follows:

Step one: Start with line segment PQ that we will copy.

Step two: Set the compass point on the point P of the line segment to be copied.

Step three: Adjust the compass width to the point Q. The compass width is now equal to the length of the line segment PQ.

Step four:Mark a point R that will be one endpoint of the new line segment.

Step five : Without changing the compasses width, place the compasses point on the point R on the line you drew previously.

Step six: without changing the compasses width draw an arc roughly where the other endpoint will be.

Step seven pick a point S on the arc that will be the other endpoint of the new line segment.

Step eight: Draw a line from R to S.

Step nine: The line segment RS is equal in length (congruent to) the line segment PQ.

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What are the first 10 digits after the decimal point when the fraction $\frac17$ is written in base 16?

Answers

Answer:

The amswer is "2,4,9....."

Step-by-step explanation:

[tex]x=\frac{1}{7}\\\\x_d=0.\overline{142857}\\\\x_h=0.\overline{249}\\\\[/tex]

by leave you to work out the other 7 digits:

[tex]\to \frac{1}{7}\approx \frac{a}{16}\\\\a= \text{first hex digit}\\\\a=floor(\frac{16}{7})=2\\\\[/tex]  

[tex]\to \frac{1}{7}- \frac{a}{16}\approx \frac{b}{16^2}\\\\b= \text{second hex digit}\\\\b=floor(\frac{16^2}{7} -16a)=4\\\\[/tex]  

[tex]\to \frac{1}{7}- \frac{a}{16}-\frac{b}{16^2} \approx \frac{c}{16^3}\\\\c= \text{third hex digit}\\\\c=floor(\frac{16^3}{7} -16^2a-16b)=9\\\\[/tex]  

The graphs below have the same shape. What is the equation of the red
graph?
G(X) =

Answers

The answer is B, the y intercept is 6

The equation of the red graph is g(x) = 6 - [tex]x^4[/tex].

Thus, option (B) is correct.

Given:

Function 1 : f(x) = 3 - [tex]x^4[/tex]

As, the y-intercept is the point where a line or curve intersects the y-axis.

It is the value of y when the corresponding x-coordinate is zero. It is the point(s) where the graph crosses the y-axis.

Now, from the graph of function f(x) has the intercept 6.

Also, the graph of function g(x) is 3 unit up from the function f(x).

So, the equation of g(x) will be

= f(x)  + 3

= 3 - [tex]x^4[/tex] + 6

= 6 - [tex]x^4[/tex]

Thus, option (B) is correct.

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What is the equation of the following line written in general form? (The y-intercept is 7.)
y
(-2.1)

Answers

Answer:

[tex]{ \tt{slope = \frac{7 - 1}{0 - ( - 2)} = 3 }} \\ \\ { \tt{y = mx + c}} \\ { \boxed{ \bf{y = 3x + 7}}}[/tex]

72 x 24 in algorithm

Answers

72 x 24 is equal to 1,728

a cheetah runs at the speed of 2km per minute. How far can it run in 5 minutes? PLEASE I NEED IT RN

Answers

Answer:

10 km

Step-by-step explanation:

pls mark me brainliest

Answer: 10km

Explanation:
The question gives us the equation 2x.

When x is replaced with 5, you get 2(5).

2(5)= 10! :)

Which of the following sets represents the range of the diagram below? 2 3 3 A. {1,2,4) B. {3} C. {1,2,3,4} D. {4}​

Answers

Answer:

bd.{4}

Step-by-step explanation:

becuaswe i had the test

Solve for x
5x + 7 = 11
Give your answer as a fraction in its simplest form.

Answers

Step-by-step explanation:

5x=11-7

5X= 4

X=4/5

=0.8 Answer

Answer:

[tex]5x + 7 = 11 \\ 5x = 11 - 7 \\ 5x = 4 \\ x = \frac{4}{5} \\ thank \: you[/tex]

Tìm tất cả các giá trị của y sao cho. x2 + y2 +2z2 +2xy - 2xz - 4yz + 3y >= 0 với mọi x, z

Answers

Answer:

shimani mashashina mashina shishushi mashinana

Hihi , please help if able.

Answers

I think it’s C
I got C because in the picture, it shows 5x’s, 2y’s and one Z

I hope this helps! ( sorry if incorrect ) I’m pretty sure it’s right

Find the positive solution to each equation
A. t^3 = 216
B. a^2= 25
C. m^3 = 8
D. c^3 = 343
E. f^3 = 64

Answers

Answer:

A. T=3

B. A=5

C. M=2

D. C=7

E. F =4

Thanks to whoever decides to help :)

Answers

Answer:

(-4,5)

Step-by-step explanation:

What are the ratio of dogs to total pets if there are 3 dogs and 5 cats?​

Answers

Answer:

3:(3+5) = 3:8 this is the required answer

Can someone please help me, this is for summer school and I need fast replies, I have 29 other question like these, please help.​

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: A. \:- 8 {v}^{4} + 3 {v}^{3} + v + 5}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](4 + 6v + 3 {v}^{3} ) - (5v + 8 {v}^{4} - 1)[/tex]

➼[tex] \: 4 + 6v + 3 {v}^{3} - 5v - 8 {v}^{4} + 1[/tex]

Combining like terms, we have

➼[tex] \: - 8 {v}^{4} + 3 {v}^{3} + 6v - 5v + 4 + 1[/tex]

➼[tex] \: - 8 {v}^{4} + 3 {v}^{3} + v + 5[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Choose the scenario that could be represented by 5/6
A. Five friends share six pizzas equally. B. Six pounds of oats are divided equally among five horses.
C. A six-foot string is cut into five equal pieces.
D. A five-hour bus trip is divided into six equal legs. ​

Answers

Answer:

d. A five-hour bus trip is divided into six equal legs.

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

A - You'd divide the 6 pizzas by 5 friends. 6/5.

B - You're dividing the 6 oats by 5 horses. 6/5.

C - You're dividing the 6-ft string by 5 pieces. 6/5.

D is the only one dividing a whole of 5 into 6 parts.

put these in order starting from the smallest 0.72,4/5,0.799,9/10​

Answers

Answer:

0.72  ; 0.799   ; 0.8   ; 0.9

Step-by-step explanation:

4/5 = 0.8

9/10 = 0.9

Ascending order:

0.72  ; 0.799   ; 0.8   ; 0.9

First compare the tenth places. If tenth places are same, compare hundredth places

0.72, 0.799, 4/5 and 9/10

If f(x) = x^2 and g(x)=x+ 6 find g(f(0))

Answers

Answer:

6

Step-by-step explanation:

The solution for this problem is in this picture.

6. You begin work at 8:30 am. You take an unpaid lunch break from 11:45 am to 12:30 pm
You also take two 15-minute unpaid coffee breaks during the day. Your work day ends
at 5:00 pm. How many hours are you paid?
a) Express your answer in hours and minutes.
b) Express your answer as a decimal in hours only.​

Answers

Answer:

7 hours 15 minutes

7.25 hours

Step-by-step explanation:

Break from 11:45 am to 12:30 pm = 45 minutes

Two 15-minute unpaid coffee breaks during the day = 30 minutes

Total break hours = 45 minutes + 30 minutes

= 1 hour 15 minutes

Total work day hours from 8:30 am to 5:00 pm = 8 hours 30 minutes

How many hours are you paid?

Total hours paid = Total work day hours - Total unpaid break hours

= 8 hours 30 minutes - 1 hour 15 minutes

= 7 hours 15 minutes

b) Express your answer as a decimal in hours only

7 hours 15 minutes as a decimal

15 minutes to hour = 60 minutes/15 minutes

= 1/4

= 0.25 hours

7 hours 15 minutes as a decimal = 7 hours + 0.25 hours

= 7.25 hours

Gianna rented shoes, bowled 5 games, and bought 2 orders of nachos. She used a coupon for 25% off the price of her bowling games only.

Answers

Answer:

[tex]Total = \$15.625[/tex]

Step-by-step explanation:

Given

See attachment for price lists

Required

The amount paid

We have:

[tex]Shoes = \$2.75[/tex]

[tex]Games = \$2.50 * 5 = \$12.5[/tex] --- we multiply by 5 because he played 5

[tex]Nacho = \$1.75 * 2 =\$3.50[/tex] --- we multiply by 5 because he bought 2

Apply 25% coupon to the games, we have:

[tex]Games = \$12.5 - 25\% * \$12.5[/tex]

[tex]Games = \$12.5 - \$3.125[/tex]

[tex]Games = \$9.375[/tex]

So, the total amount paid is:

[tex]Total = Shoes + Games + Nacho[/tex]

[tex]Total = \$2.75 + \$9.375 + \$3.50[/tex]

[tex]Total = \$15.625[/tex]

if xsquared+ysquared=57 , xy=3 . find the value of 3(x+y)squared

Answers

Answer:

189

Step-by-step explanation:

If you mean this, my answer is 3x63= 189

[tex] {x}^{2} + {y}^{2} = 57 \\ xy = 3[/tex]

[tex] {x}^{2} + {y}^{2} + 2xy = 57 + 2 \times 3[/tex]

[tex] {(x + y)}^{2} = 63[/tex]

[tex]3 {(x + y)}^{2} = 3 \times 63 = 189[/tex]

Which of the following are examples of Structuring?
(Select all that apply)

A) Trying to purchase or reload multiple prepaid cards/gift cards, in multiple transactions as smaller amounts
B) Purchasing prepaid cards/gift cards at different registers,
C) Breaking up a large amount of money by coming in several times a day to conduct financial services transactions

Answers

Answer:all of them

Step-by-step explanation:

I just took the test

'All the given statement' demonstrates structuring.

In the context of money laundering, 'Structuring' is characterized as the process in which a huge sum of money is split into smaller sections or transactions in order to locate funds without coming to the notice of the legal department.

To ensure this splitting of money, several bank accounts with several names are used. Attempts to make purchases worth smaller amounts using multiple cards.Registering these purchases with different platforms. Making financial transactions at different times of the day to avoid being caught.

Thus, all the options are correct.

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The Spanish club was selecting which carnival booths to sponsor at the fall

carnival from a list of twelve. How many different ways can they choose two

booths from a selection of twelve?

Answers

Answer:

66

[tex]\frac{12!}{2!\left(12-2\right)!} =66[/tex]

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

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