Using the equation of an parabola, it is found that the value of p is 0.5.
The equation of a parabola that is concave to the left or to the right, that is, that has directrix y = k, and vertex (h,k), is given by:
[tex](y - k)^2 = 4p(x - h)[/tex]
The focus is at: (h, k + p).
The directrix is at: y = k - p
For this problem, we have that:
Focus at (0,3), thus [tex]k + p = 3 \rightarrow k = 3 - p[/tex].Directrix at y = 4, thus [tex]k - p = 4[/tex]Since [tex]k = 3 - p[/tex]:
[tex]3 - p - p = 4[/tex]
[tex]2p = 1[/tex]
[tex]p = \frac{1}{2}[/tex]
[tex]p = 0.5[/tex]
The value of p is 0.5.
A similar problem is given at https://brainly.com/question/17987697
The Budget Car Rental rates for renting a car for a day is shown in the table.
a) What is the initial cost of renting a car? (Answer in Blank 1)
b What is the rate of change? (Answer in Blank 2)
c) Using C for the cost of and d for the distance driven, write an equation representing the rental rates of the car agency. (Answer in Blank 3)
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
a.) Initial cost of renting the car is $100
b.) rate of change is slope, that is :
[tex] \dfrac{105 - 100}{100 - 0} [/tex][tex] \dfrac{5}{100} [/tex][tex] \dfrac{1}{20} [/tex][tex]0.05[/tex]c.) Cost = C and distance = d
the equation will be :
[tex]C = \dfrac{d}{20} + 100[/tex]A cheetah traveling at 31 m/s chased its prey for 11 seconds. What distance did the cheetah travel during the chase?
Answer:
341 meters
Step-by-step explanation:
you just multiply 31 by 11.
Answer:
341 meters
Step-by-step explanation:
Jusr do 31 times 11
what is -1/2 cubed? ?
Answer:
-1/8
Step-by-step explanation:
(-1/2)^3 = (-1/2) * (-1/2) * (-1/2) = -1/8
Answer:
-0.125
:) Hope this helped, let me know if you need more help! :)
Find the constant of proportionality in the graph
below.
a. 9
b. 4
C. 3
d. 1.5
The answer is B. Since the graph increases by 4 on the y-axis as x increases by 1, the constant of proportionality is 4.
help pleaseeeeeeee!!!!!!!!
Answer:
4,3
Step-by-step explanation:
Answer:
rectangle
Step-by-step explanation:
square corners and unequal sides
Evaluate this expression 33+(-5)-(-70)-26
Answer:
82
Step-by-step explanation:
33 + (-5) - (-70) - 26
33 - 5 + 70 - 26
- and - = +
- and + = -
+ and - = -
33 -5 = 28
28 + 70 = 108
108 - 26 = 82
Write an equation of the line that passes through point (6, 1) and has the slope m = -3.
y
4
Answer:
[tex]y = mx + c[/tex]
[tex]1 = - 3 \times 6 + c[/tex]
[tex]1 = - 18 + c[/tex]
[tex]1 + 18 = - 18 + 18 + c[/tex]
[tex]19 = c[/tex]
[tex]y = 6x + 19[/tex]
3/4 + 3/16 and 3/4 - 3/16
Answer:
for the first it is 15/16 and the second is 9/16
to help you use desmos sictific coulator
What does the greater unit rate, or slope, mean in terms of the situation? What can you conclude from this?
Answer: it means that he covered more space when tiling than Felicia did. Tell me if I am right please.
Answer correctly for brainliest
where is your question?
Answer:
what is your question?
Evaluate p+23 for p=8
Answer:
31
Step-by-step explanation:
p = 8
p + 23
= 8 + 23
= 31
31 is the answer.
The table below shows the equations of five lines.
line 1: y= 2x - 3
line 2: 2x + y - 3 = 0
line 3: y= 5x + 11
line 4: 2x - y = 10
line 5: y= 1/2x - 5
a) which line has the greatest slope? explain ur answer.
b) which lines are parallel? show workings and explain
c) which lines are perpendicular? show workings and explain.
d) at which point does line 3 cross the y-axis?
Answer:
a) line 3 because the coefficient of the term 5x, the slope is the greatest slope.
b) line 1 and 4 are parallel because they have the same slope: 2
c) line 1 with line 2 and line 4 with line 2 are perpendicular lines because their slopes are reciprocals negative.
d) line three crosses the y line at point 11
Step-by-step explanation:
Line 1. y = 2x - 3
Line 2: y = -2x + 3
Line 3: y = 5x + 11
Line 4: y = 2x - 10
Line 5: y = 1/2x - 5
how much can 18 go to 80
Stanley's weekly allowance is $5. He can also earn $2 each time he walks the family dog. Write an equation that shows how the amount of money Stanley gets in a week, y, depends on the number of times he walks the dog, x.
Answer:
y = 2x + 5
Step-by-step explanation:
Since he earns $2 for every time he walks the dog, we multiply x by 2
He already starts with $5, so just add 5 to the equation to find y
Hi upandover can you help me.
Answer:
-a^5x^3
Step-by-step explanation:
hope this helps! :)
Let's separate this out and multiply the coefficients first, then the variables.
2 1/3 = 7/3
7/3 * -3/7 = -1
(a^2)(x)(a^3)(x^2)
When we multiply terms with exponents, we ADD the exponents.
(a^5)(x^3)
Answer: (-1)(a^5)(x^3)
Coefficient: -1
Hope this helps!
4 3/6×11 7/12=??. Can y'all please help I kinda need it , I'm failing math
Answer: Solution is in Photo
I need help figuring out the answers to these kinda poorly worded questions
=======================================================
Explanation:
Let x be the unknown positive integer.
The square roots of x are [tex]\sqrt{x}[/tex] and [tex]-\sqrt{x}[/tex], representing the positive and negative square roots respectively.
Taking the difference of those means we subtract:
[tex]\text{PositiveRoot}-\text{NegativeRoot} = \sqrt{x} - (-\sqrt{x}) = \sqrt{x}+\sqrt{x} = 2\sqrt{x}[/tex]
Set that equal to 40 and solve for x
[tex]2\sqrt{x} = 40\\\\\sqrt{x} = 40/2\\\\\sqrt{x} = 20\\\\x = 20^2\\\\x = 400[/tex]
Therefore, the integer we're after is 400.
The positive square root of such is [tex]\sqrt{x} = \sqrt{400} = \sqrt{20^2} = 20[/tex]
And the negative square root is [tex]-\sqrt{x} = -\sqrt{400} = -\sqrt{20^2} = -20[/tex]
The difference of which is:
(Positive Root) - (Negative Root) = 20-(-20) = 20+20 = 40
This helps confirm the answers.
PLSSS HELP WILL MARK FIRST RIGHT ANSWER BRAINLIEST!!!
Answer:
x= -11
Step-by-step explanation:
Rearrange terms
[tex]-1=\frac{5+x}{6} into -1=\frac{x+5}{6}[/tex]
Multiply all terms by the same value to eliminate fraction denominators
[tex]-1=\frac{x+5}{6} \\6(1)=6(\frac{x+5}{6} )[/tex]
Cancel multiplied terms that are in the denominator
[tex]6(-1)=6 (\frac{x+5}{6} )6(-1)=x+5[/tex]
Multiply the numbers
[tex]6(-1)=x+5\\-6=x+5[/tex]
Subtract 5 from both sides of the equation
[tex]-6=x+5\\-6-5=x+5-5[/tex]
Simplify
Subtract the numbers
Subtract the numbers
Move the variable to the left
Given: If CD = 1/2x − 3 units and GH = 5 − 3x units, what is the value of x?
f(x)= ve + 9. Find f'(x) and its domain.
Answer:
Find the domain by finding where the expression is defined.
Interval Notation: [tex](-[/tex]∞[tex],[/tex] ∞[tex])[/tex]
Set-Builder Notation: {[tex]x|x[/tex] ∈ R}
The function declaration [tex]f(x)[/tex] varies according to [tex]x[/tex], but the input function [tex]ve + 9[/tex] only contains the variable [tex]v[/tex]. Assume
[tex]f(v)=ve+9[/tex]
[tex]f(v)=ve+9[/tex]
From the top of a 200 foot lighthouse, the angle of depression to a ship on the ocean is 23 degrees.
How far is the ship from the base of the lighthouse?
I know I did it right by the key says its wrong. Please provide steps
the ship is 472 m from the lighthouse
Step-by-step explanation:
from the question, we can know ∠OAS = 90°-23° =67° and AO = 200m
OS = A0 • tan 67°
= 200 m • 236°
= 472 m
Leen needed $82 to buy a scientific calculator for her math class. Her neighbour will pay her $4 per hour to babysit. Her father gave her $14. Write and solve an inequality that represents the minimum number of hours she will need to babysit to buy her calculator.
what decimal is equivulent to 1 5/8
Answer:
1.625
Step-by-step explanation:
that is the answer
Please someone help me with this
Answer:
ANSWER:C
Step-by-step explanation:
sana maka tulong
A company offers you a salary of $2,000 per month plus a signing bonus of $10,000. What is the yearly salary rate? PLEASE HELP!!!!
Since yearly, without the bonus, you would make a certain amount by multiplying $2,000 to a year, which is 12 months.
2000 × 12 = 24,000 a year.
That would be $24,000 a year.
Next, we can add 10,000 to the amount, since you are not getting paid that much for a year. It is just a "...plus...", a bonus.
24,000 + 10,000 = 34000
Therefore, the yearly salary rate will be $34,000 a year.
3h 10 min + 1h 20 min is equal is to
3х – 6 =-2y
Find the slope of a line perpendicular to each given line
Answer:
Slope of the perpendicular line: 2/3
Step-by-step explanation:
-2y = 3x - 6
y = - 3/2x - - 6/2
y = -3/2 + 3
The table shows Tampa’s average monthly temperature and precipitation for 6 months in 2018.What is the value of r? Round to the nearest hundredth.
Answer:
0.5
Step-by-step explanation:
Which of the equations below could be the equation of this parabola? A y = 1/6x2 B. x = -1/6y2 C. x = 1/6y2 D. y = -1/6x2
Answer:
C
Step-by-step explanation:
assuming the 2s are all squares
just plot a point and it's negative
Answer:bro w t f is C bro C isn’t always the same option on other quizzes
Step-by-step explanation:
if i have an 84 in a class, and I get a 67 on a test, what is ny grade?
Answer:
B or C
Step-by-step explanation:
This depends on what % of your grade the test was.