Write the equation for a parabola with the focus at
(-1, 4) and the equation of the directrix x = 5.
(x + 1)2 = 3(y-4)
(y-4)2 = 12(x + 1)
(y-2)2 = -3(x – 4)
(y-4)2 = –12(x - 2)

Answers

Answer 1
The answer is (y - 4)2 = -12(x - 2)
Since the graph is facing the left, the starting equation would be (y - k)2 = -4p(x - h).
(h, k) is the vertex of the graph. If you plot the focus and the directrix, you can see that the distance is 6. Divide 6 by 2, thus the vertex should be 3 squares away from the focus and 3 squares away from the directrix. The vertex is (2, 4). And since the distance from the focus to the vertex and the distance from the directrix to the vertex is 3, P = 3.
Insert the numbers in and you should get the last choice.

Related Questions

plz help asap.................................................

Answers

Answer:

There is no maximum. The minimum is (-1,-4). The shape is a parabola. Yes it is a function. It is continuous. The line of symmetry is x=1 I believe. The x intercepts are x=1 and x=-3. The y-intercept is y=3. It opens up

I am not sure about the rest.

I WILL GIVE BARINLEST WHO HELP ME
3

Answers

Answer:

18

Step-by-step explanation:

3*6=18

which of the following is the value of the expression 2x exponent2+1,when x =2

Answers

Answer:

9

Step-by-step explanation:

use pemdas to evaluate..

2x^2 + 1

2(2)^2 + 1

2(4) + 1

8 + 1 = 9

What do you have to increase a number by to change it's place value

Answers

Answer:

Build more buildings

Step-by-step explanation:

Answer:

change by a tenth to hundredth to thousandth to the millionth

Step-by-step explanation:

is the square root of 42.25​

Answers

Answer: It’s 6.5

Step-by-step explanation: Bruh just look it up on google

Buthaina bought some books for 6$ each and received a discount of 8$ off of her total purchase. She spent 58$ after the discount. How many books did she buy?

Answers

Answer: Buthaina bought 11 books.

Step-by-step explanation:

First, write your givens.

1 book costs $6.00

A discount of $8.00

Total AFTER discount $58.00

Add the discount to your total= 58.00+8.00=66.00

Take your total BEFORE the discount (66.00) and divide it by 6.

66/6= 11.

She bought 11 books.

Answer:

66 dollars

Step-by-step explanation:

i added 8 dollars to the 58

Please help I have limited time!!

The slope of a line is 6 and it goes through the point (4,5), which function is best
represented by this graph?
y = 6x - 29
y = 6x + 19
y = 6x - 19
y =6x + 29

Answers

Answer:

[tex]y=6x-19[/tex] is the function which best

represented by this graph.

The graph is also attached.

Step-by-step explanation:

As the point-slope form is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope

Given

m = 6 and the point (4, 5)

substituting the values in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 5 = 6 (x - 4)[/tex]

[tex]y - 5 = 6x-24[/tex]

[tex]y=6x+5-24[/tex]

[tex]y=6x-19[/tex]

Therefore, [tex]y=6x-19[/tex] is the function which best

represented by this graph.

The graph is also attached.

PLEASE HELP ME I AM PAYING 100 POINTS!!

Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?
Answer the questions to show how to write and simplify expressions that represent the problem.



1. Find the total tax using the expanded expression. Did you get the same answer as you did by evaluating the original expression?


Write your answer in the space below.




2. Which expression, the original expression or the expanded expression, involves finding the total cost first, then calculating the tax on that total?


Write your answer in the space below.


no scams!

Answers

the total tax is 4.50 dollars, yes it is the same because they are the basically the same equation .

the original expression
1. Both the expanded and original have the tax pf $4.50

2. The original
:)

plz show work....hellp

Answers

Answer:

f(-12) = -15

Step-by-step explanation:

f (-12)

we put -12 in place of x

-12 - 3 = -15

so, f(-12) = -15

Danny charges $22 for 2 hours of swimming lessons, Martin charges $90 for 5 hours of swimming lessons. Who offers a better deal?

Answers

Answer:

danny

Step-by-step explanation:

Danny charges $11 a hour while martin charges $18 a hour

Answer:

Danny offers a better deal

Step-by-step explanation:

Because you have to find out how much each person is charging for each hour of swimming lessons divide Danny's $22 by 2 to get $11 for one hour. And divide Martin's $90 by 5 to get $18 for one hour. Danny is giving you a better deal than Martin.

What is the value of x in the figure?
A. 10
B. 6
C. 15
D. 12

Answers

Answer:

Step-by-step explanation:

You need to set up a proportion.

(21 - 15) / 21  = 4/(x + 4)

6 / 21 = 4/(x + 4)

2/7 = 4/(x + 4)

2(x + 4) = 7*4

2x + 8 = 28

2x + 8-8= 28 - 8

2x = 20

x = 20/2

x = 10

Help me out here pleaseeeeeeeee.

Answers

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

A fraction is in simplest form when no other factor but 1 will divide into the numerator/ denominator

[tex]\frac{5}{10}[/tex] ← divide numerator/ denominator by 5

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

[tex]\frac{4}{5}[/tex] ← is in simplest form

[tex]\frac{6}{10}[/tex] ← divide numerator/denominator by 2

= [tex]\frac{3}{5}[/tex]

[tex]\frac{8}{12}[/tex] ← divide numerator/denominator by 4

= [tex]\frac{2}{3}[/tex]

[tex]\frac{4}{5}[/tex] is the only fraction given in simplest form

what is the 9th term of the linear sequence below 2 5 8 11 14​

Answers

answer is 26!
the difference from each increment is +3 and since you’re trying to find the 9th term there will be 8 ‘gaps’ so u multiply 8 by 3 to find the total increase before adding it to 2, which is the initial no.

2 + (3x8) = 26

Write the equation of the line in y = mx + b form.
I need help

Answers

wouldn’t it be y=-4x+1
Answer:  y = -4x+1

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

Explanation:

The two points on this line are (-1,5) and (0,1)

Let's use the slope formula

m = (y2-y1)/(x2-x1)

m = (1-5)/(0-(-1))

m = (1-5)/(0+1)

m = -4/1

m = -4

The slope is m = -4

If we started at (-1,5) and moved down 4 and to the right 1, then we arrive at (0,1). The motion "down 4, right 1" is directly tied to the slope -4 since -4 = -4/1 = rise/run

The y intercept is b = 1 since this is the location where the graph crosses the y axis.

With m = -4 and b = 1, we go from y = mx+b to y = -4x+1

PLEASE HELP ME I ONLY HAVE 10 MINS TO FINISH ALL MY ASSIMENTS, WILL GIVE BRAINLIEST AND 15 POINTS
question:The baseball infield has an area of 90^2 square feet. What is the area of the infield?

Answers

Answer:

8100 square feet

Step-by-step explanation:

Which answer choice shows 12.473 rounded to the nearest half?
A. 13.5
B. 13
C. 12.5
D. 12

Answers

Answer:

C. 12.5

Step-by-step explanation:

If you round it into the nearest half, you'll get 12.5.

#1) Mrs. Ebanks planted two trees on a
planning grid at coordinates (0,8) and
(12, 4). Determine the distance between
the trees using the given appropriate
formula.
show all work!

Answers

Answer:

D = 12.94 m

Step-by-step explanation:

Coordinates of first tree = A(0,8)

Coordinates of second tree = A(12,4)

We need to find the distance between the two trees. We can find it using distance formula for coordinates as follows :

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have, x₁ = 0, x₂ = 12, y₁ = 8, y₂ = 4

Now using distance formula,

[tex]D=\sqrt{(12-0)^2+(4-8)^2}\\\\=\sqrt{144+16} \\\\=12.64\ m[/tex]

So, the distance between the two trees is 12.64 m.

The ratio of boys to girls in 6th grade is 2:3, if there were 65 students in the class, how many girls are there? How many boys are there?

Answers

Answer:

26 boys and 39 girls

Step-by-step explanation:

if you were to divide 65 by 5 then you would get 13. all you have to do is add 13 + 13 and you would get the number of boys. for the girls you add 13 + 13 + 13.

75% of the items collected at the food drive were cans of soup. If 90 cans of soup were
collected, how many items were collected in all?

Answers

Answer:

67.5

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

If 90 cans of soup were collected and it was 75%, take 90/3=30. If 25% of all cans is 30 then when you multiply by 4, to get 100%, you have 120 cans. Also 120/75%= 90

6x100 + 1x10 + 7x1 + 9x1 +2x1

Answers

Answer:

628

Step-by-step explanation:

Well, if you x's are multiplication signs, then the answer is 628 because

6x100=600, 1x10=10, 7x1=7,  9x1=9, 2x1=2 and then add them all up:

600+10+7+9+2=628

Answer:

628

Step-by-step explanation:

6x100= 600

1x10= 10

7x1= 7

9x1= 9

2x1= 2

600 + 10 = 610

7 + 9 = 16

16 + 2 = 18

610 + 18 = 628

Simplfy 7xy + 8x + 5xy + -6x

Answers

Answer:

2xy+2x

Step-by-step explanation:

Identify the property on this equation 5(a + 3b) = 5a + 15b

Answers

Answer:

??????????????????????

Step-by-step explanation:

Answer: Distributive Property

The term "distribution" is also used in place of "distributive"

This property says

x*(y+z) = x*y + x*z

We multiply the outer term x with each inner term (y and z). Then we add the results.

In this case,

x = 5

y = a

z = 3b

So,

5(a+3b) = 5*a + 5*3b = 5a+15b

HELPPPP ORDER THE NUMBERS FROM LEAST TO GREATEST
-3.5, √20, negative √19, 4.9, 3/2

Answers

Answer:

[tex]\sqrt{-19} , -3.5, 3/2, \sqrt{20} , 4.9[/tex]

Negative numbers go first, the greater the number, the smaller the number.

Answer:

-√19,-3.5, √20, 4.9, 1/2

Step-by-step explanation:

Find the square root of 19 ( Which you can't)  always have the negatives go first because negatives are the greatest. Find the square root of 20, which equals 4.4, then divided 3/2 which gives you 1.5. I hope this helped! I'm not the best at explaining either.

Luis rides his bicycle 34 mile in 15 minutes, or 14 hour, along the bike trail.
Assuming he rides at a constant rate, what is his speed, in miles per hour? Use the table to help find the answer.
Enter your answer in the box.

Miles 34 ?
Hours 14 ?
miles per hour

Answers

2.615 miles per hour I think

Luis' speed in miles per hour is 136.

What is speed?

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

By dividing the miles he cycled by the hours he traveled, one may calculate Luis' speed in miles per hour.

Because the measurement must be in miles per hour,

the time would be expressed in hours rather than minutes.

Speed = distance / time

Distance = 34 miles

Time = 15 minutes.

Speed =  34 ÷ 15 miles per minute.

Speed =  34 ÷ 1/4 miles per hour.

Now, speed =  34 x 4 miles per hour.

Therefore, Luis' speed is 136 miles per hour.

To learn more about the speed;

https://brainly.com/question/7359669

#SPJ2

Find the equation of the straight line passing through the point (0,2) which is perpendicular to the line y=1/4x+5

Answers

Answer:

y=-x+2

Step-by-step explanation:

Help please I’ll give you 25 points

Answers

Answer:

=x3y+8

Step-by-step explanation:

The answer to your question is in the picture ❤️

2 1/2 + (-1/3)
PLz, help me with this question.

Answers

Answer:

2 1/6

Step-by-step explanation:

What is the output of this function when the input is 0?

Answers

The output or y is 1

A half marathon is 13.1 miles long. Which equation could be used to determine the time, t, it takes to run a half marathon as a function of the average speed, s, of a runner?

Answers

Answer:

time(t)=distance(13.1)/speed (s)

hope this helps

MARK AS BRAINLIEST

MARK AS BRAINLIEST

Answer:

Time=distance/average speed

Step-by-step explanation:

Example:

Average speed: 13.1 miles per hour

Distance: 13.1 miles

Time: x

X= distance/speed

X= 13.1/13.1

X=1

Search for Speed/Time/Distance   (Physics)

use the line tool and select two points to graph the line
graph f (x) = - 1.5x +6
PLEASE HELP !!!​

Answers

Answer:

Step-by-step explanation:

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