Mathematics College

The focus of a parabola is (2, 5) and the directrix is y = 1. What is the equation of the parabola?

Answers

Answer 1

Answer:

y = 0.125x² - 0.5x + 3.5

Hope that this helps!

Answer 2

Answer:

y = 0.125x² - 0.5x + 3.5

Step-by-step explanation:

I dont know if its correct hope it helped

Related Questions

Find the equation of the line parallel to y=-11-5, that passes through the point
(4, -3). Write your answer in slope-intercept form. Do not use spaces in your
answer. Enter any fractions like a/b or-a/b.

Answers

Answer:

y=41−11x

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=5−11x.

The slope of the parallel line is the same: m=−11.

So, the equation of the parallel line is y=−11x+a.

To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.

Thus, a=41.

Therefore, the equation of the line is y=41−11x.

Answer: y=41−11x.

Answer:

y=41−11x

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=5−11x.

The slope of the parallel line is the same: m=−11.

So, the equation of the parallel line is y=−11x+a.

To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.

Thus, a=41.

Therefore, the equation of the line is y=41−11x.

Answer needed! Answer needed! Answer needed!

Answers

Answer:

Points: (1,-1) (4,-1) (4,-3)

Step-by-step explanation:

Hope this helps

Answer:

(1,-1) (4,-1) (4,-3)

Step-by-step explanation:

bye have a good day

how is y=2x^2-8x+9 rewritten in vertex form.

Answers

9514 1404 393

Answer:

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

Step-by-step explanation:

Start by factoring the leading coefficient from the x-terms.

y = 2(x^2 -4x) +9

Now identify the coefficient of x, -4, and figure half of that: -2. Square this number and add it inside the parentheses. At the same time, subtract the equivalent value outside parentheses. (The leading coefficient must be taken into account.)

y = 2(x^2 -4x +4) +9 -2(4)

Put in the desired form.

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

This matches vertex form ...

y = a(x -h)^2 +k . . . . . . . . . vertical scale factor 'a'; vertex (h, k)

Solve the system of equations.
2y+7x=−5
5y−7x=12

Answers

We can solve this by substitution method.

Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.

[tex]5y-7x=12[/tex]

[tex]5y-7x-12=0[/tex]

[tex]5y-12=7x[/tex]

Therefore, [tex]7x=5y-12[/tex]

Now replace the 7x in the first equation with 5y - 12:

[tex]2y+7x=-5[/tex] (substitute in 7x = 5y - 12)

[tex]2y+(5y-12)=-5[/tex]

[tex]7y-12=-5[/tex]

[tex]7y=7[/tex]

[tex]y=1[/tex]

Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12

[tex]7x=5y-12[/tex] (substitute in y = 1)

[tex]7x=5(1) -12[/tex]

[tex]5x=5-12[/tex]

[tex]7x=-7[/tex]

[tex]x=-1[/tex]

__________________________________________________________

Answer:

[tex]y=1\\x=-1[/tex]

Please help!!! I am stressed so much!!

Answers

Answer:

You have to simplify the fraction and turn it into a decimal.

Step-by-step explanation:

Meaning: Make the fraction smaller and turn it into the correct decimal.

EXAMPLE:

2/4 simplified is 1/2

1/2 is equal to 0.50

A.
368/15 = 24 8/15
964/15 = 64 4/15
349/15 = 23 4/15

Determine if lines AB and CD are parallel, perpendicular, or neither. A(5,-8), B(-2,-10), C(-6,-13), D(-2,1)

Answers

Answer: The answer is neither because the slopes are 2/7 and 7/2.

Step-by-step explanation:

While these answers look like they are perpendicular, they are not since the signs are the same. If they were perpendicular the signs would be different. Ex: 2/7 and -7/2. These points are perpendicular since their signs changes as well as being "flipped".

ILL MARK U BARINLIEST HELP!!!!!!!!!!!!
A ball is tossed into the air. The quadratic function h(t) = -16t^2 + 14t + 5 represents the situation, where t represents the time, in seconds, after the ball is tossed and h(t) represents the height of the ball, in feet. Which of the following statements is NOT true
A- the constant term represents the height from which the ball was tossed.
B- The factors of the function can help determine when the ball hit the ground.
C- The leading coefficient indicates that the graph of the parabola that represents the ball's height over time will open in an upward direction.
D- The graph of the parabola that represents the ball's height over time will have a relative maximum.

Answers

D I believe hope this helped

Factor out the greatest common factor from the terms of the polynomial 2x3 − 5x2 + 25

Answers

Answer:

2x³ -5(x²-5)

Step-by-step explanation:

2x3 − 5x2 + 25

=2x³ -5x²+25

=2x³ -5(x²-5)

If the perimeter of each of the seven regular hexagons in the figure shown is 24, what is the perimeter of the figure?

Answers

Answer:

the answer is 144(that is 6×24)

Match each pair of Lines to the correct description
parallel lines
EP and CD
perpendicular lines
GH and EF
neither parallel nor
perpendicular lines
AB and CD

Answers

Answer:

Parallel = AB and CD

Perpendicular = EF and CD

Neither: GH and EF

Step-by-step explanation:

Parallel lines will go on forever without touching, they are aligned with each other.

Perpendicular lines intersect with 4 right angles

The Parallel lines are AB and CD and Perpendicular lines are EF and CD.

It is required to find the solution.

What is line?

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

The given figure shown as four lines are given AB , CD ,EF , CD ,GH and EF.

According to given question we have

Parallel = AB and CD

Perpendicular = EF and CD

Neither parallel nor perpendicular lines: GH and EF

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions

Perpendicular lines are lines that intersect at a 90-degree angle.

Therefore , the Parallel lines are AB and CD and Perpendicular lines are EF and CD.

Answers

Step-by-step explanation:

8(2x-7) =8

16x - 56 = 8

16x = 64

x = 4

1). Distribute 8 and multiply.

2). Add 56 to both sides.

3). Divide both sides by 16.

Let me know of you have any questions!

Answer: Divide both sides by 88.

2x-7=1

2x−7=1

2 Add 77 to both sides.

2x=1+7

3 Simplify 1+71+7 to 88.

2x=8

4 Divide both sides by 22.

x=\frac{8}{2}

5 Simplify \frac{8}{2}

to 44.

x=4

Step-by-step explanation:

Constant of Variation

Given that f(x) = 2/x² and g =(x) = 13/x²

What is the domain of the functions f and g?

a. only positive integers
b. All non zero real numbers
c. only negative integers
d. All real numbers including zero

Please select the best answer from the choices provided

Answers

Answer:

B. All non zero real numbers

Step-by-step explanation:

I calculated it logically

What is another way to write 5/5? *

Answers

Answer:

Hello! answer: 1

Step-by-step explanation:

5/5 is 1 whole so you could write it as 1 because 5/5 is worth 100%

13. A car travels at a speed of 55 km/h. Find the distance travelled by the car in 12minutes 30 seconds, giving your answer in meters.

Answers

Answer:

11.46 meters

Step-by-step explanation:

12min 30sec = 12.5min

55km/h * 12.5min * 1h/60min = 11.4583333333meters

Help??? Please? I need to pass.

Answers

Answer:

(x-8.5)2=81.25

x + a = c , solve for x

Answers

Answer:

Step-by-step explanation:

x+a=c

x=c-a

question 13 helllppp pllllz alomost done

Answers

I would think 5 mins because, when you do 33-15 you get 18, and so it drained 18
cm in 6 mins so, that’s 3 cm per min. So if you do 15/3 you get 5 mins. Hope this is helpful! Sorry if it’s wrong :((

PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE

Answers

Answer:

Slope=-3/4

Step-by-step explanation:

The slope is the rise/run or y/x

Points given for A are (-4, 3), for B (4, -3)

The formula for slope is m=y^2-y^1/x^2-x^1

https://calcworkshop.com/graphing-linear-equations/slope-formula/

So we'll plug in the information given into the formula.

-4-4/3--3

-8/3+3

-8/6

so our slope is m=-3/4

plz help????????????

Answers

Answer:

Step-by-step explanation:

Parallel lines have the same slope.

PLEASE HELP) Given the function ƒ(x) = x and the function g(x) = x – 4, what does the –4 do to the graph of ƒ(x) to get the graph of g(x)?

Answers

Answer:

C. Translates the graph 4 units downwards

Step-by-step explanation:

The -4 is the y-intercept which brings the graph down four units

In the function f(x)=[tex]\sqrt{x}[/tex]-4, -4 shows the translation of graph units downwards which is option c.

What is function?

Function is relationship between two or more that are variables that are expressed in equal to form. In a function each value of x must have a corresponding value of y which is known as codomain of function.

How to find function?

In the function f(x)=[tex]\sqrt{x}[/tex]-4, -4 decreases the value of function by 4 units and because the y axis is vertical line. So the value which is -4 pulls the function downwards by 4 units and this process is known as translation.

Hence in the function f(x)=[tex]\sqrt{x}[/tex]-4, -4 shows the translation of graph units downwards which is option c.

Learn more about function at https://brainly.com/question/10439235

#SPJ2

What do "Opposites" mean in Elimination?

Answers

Opposites meaning a negative number is an opposite to a positive. And vice versa.

Answer:

Step-by-step explanation:

what is the meaning of eliminated

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