Answers
Answer:
p = -3v: (4, -1)f: (4, -4)d: y = 2Step-by-step explanation:
The equation ...
(x -h)² = 4p(y -k)
is the equation of a parabola with vertex (h, k) and vertex-focus distance of p. When p is negative (as here), it means the focus is below the vertex, and the parabola opens downward. The directrix is p units on the other side of the vertex from the focus.
The vertex for equation ...
(x -4)² = -12(y +1)
is (h, k) = (4, -1). The value of p is (-12/4) = -3, so the focus is (4, -1-3) = (4, -4), and the directrix is y = -1+3 = 2.
_____
Additional comment
As a check on the graph, you can remember that any point on the parabola is equidistant from the focus and directrix. You will notice the vertex is halfway between the focus and directrix, so you know that relationship is true there.
You will also notice that a horizontal line from the focus to the parabola intersects the same distance away from the focus as from the directrix. Thus the parabola distance relation holds at that point as well.
Related Questions
I need help solving for Y
Answers
Answer:
y=24
Step-by-step explanation:
since the triangles are similar, their sides are all in proportion
meaning:
[tex] \frac{20}{15} = \frac{32}{y} [/tex]
simplify the fraction
[tex] \frac{4}{3} = \frac{32}{y} [/tex]
cross multiply once the fraction is simplified
[tex]96 = 4y[/tex]
y=24
Answer:
y = 24
Step-by-step explanation:
the first triangle 20 : x : 32
the 2nd triangle 15 : 21 : y
Solve the equation of two triangles by similarity
x = [tex]\frac{21 * 20}{15}[/tex] = 28
y = [tex]\frac{21 * 32}{28}[/tex] = 24
Which of the following is the ratio of 5 cm to 10 km
Answers
Answer:
1/200000
Step-by-step explanation:
first 10 km equals to 1000000cm
so 5/1000000cm
equals to 1/200000
2. Name 3 points that are collinear*
2
s
S
R
O points T, Q, and R
O points T, Q, and S
O points S, Q, and R
Answers
Answer:
T, Q, and R
Step-by-step explanation:
These points are all on the same line, making them collinear.
I hope this helps!!
What is the slope??
(The bottom one says : (-6, -5)
Answers
Here,
(-1, 4) = (x₁ , y₁)
(-6, -5) = (x₂ , y₂)
Slope = rise/run
Slope = y₂ - y₁/x₂ - x₁
Slope = -5 - 4/ -6 + 1
Slope = -9/-5
Slope = 9/5
_____
Hope it helps ⚜
Can someone please help me with the graph above ?? please
Answers
Answer:
See image
Step-by-step explanation:
The third line of the directions that says
(x,y)->(x-5, y)
is telling you to look at each point and keep the y the same, but subtract 5 from the x. For example, point B which is given as the point (4,-1) will slide over 5 places to the left and keep the y the same to (-1,-1) see image
The whole shape will slide over to the left 5 places. (red)
Then, it says reflect over y=0. Which is a flip like a mirror image.(green) The final answer is the green figure.
56 x 4 + 5 - 53=x
(x) x 23 + 500
Answers
Step-by-step explanation:
56× 4=224
224+5= 229
229-53=176
176×23=4048
4048+500=4548
The answer is = 4548
56*4+5-53-(x*(x)*x^23+500)=0
Step by step solution :
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
-x25 - 324 = -1 • (x25 + 324)
Equation at the end of step
2
:
-x25 - 324 = 0
STEP
3
:
Solving a Single Variable Equation:
3.1 Solve : -x25-324 = 0
Add 324 to both sides of the equation :
-x25 = 324
Multiply both sides of the equation by (-1) : x25 = -324
x = 25th root of (-324)
Negative numbers have real 25th roots.
25th root of (-324) = 25√ -1• 324 = 25√ -1 • 25√ 324 =(-1)•25√ 324
The equation has one real solution, a negative number This solution is x = negative 25th root of 324 = -1.2601
One solution was found :
x = negative 25th root of 324 = -1.2601
Determine whether each quadrilateral is a parallelogram. Justify your answer.
Answers
Answer:
1. Parallelogram2. Parallelogram3. ParallelogramStep-by-step explanation:
I am un-sure of the answers. I apologize if this is incorrect.
Hoped this helped.
the rate of cost of petrol is decreased from rs 110 per litre to rs 104.50 per litre. by how many percent is cost decreased?
Answers
the cost is decreased by 5%.... ..
...
18. Layla conducted a science experiment. She ended up with 19 millimeters of the solution, But she thought she would end up with 16 millimeters. What was her percent error? Round to the nearest tenth.
A.-23.1%
B-15.8%
C.-17.4%
D-84.2%
PLEASE HELP ME!!!
Answers
Answer:
I'm pretty sure it's B. 15.8%
Step-by-step explanation:
It's closest to 3 and there is a difference of 3 between 19 and 16
) It took 2 pumps 6 hours to pump the water out of a pond. How long would it take if 3 pumps
were used?
Answers
Answer:
it would take 2 hours with 3 pumps
Step-by-step explanation:
hope this helps! :D
write an expression that is equivalent to (-16)^-2
Answers
Answer:
1/256
Step-by-step explanation:
(-16)^-2
= 1/(-16)^2
= 1/ (-16· -16)
= 1/ 256
Please help!!! No LINKS
Solve the system of equations below by graphing both equations with a paper and pencil!!! What is the solution?!??! Use the photo below to answer the question!!
Answers
Answer:
B is the answer
Step-by-step explanation:
when 8 is subtracted from a certain number and the result is multiplied by 3 the final answer is 21. What is the original number
Answers
Answer: The original number is 15.
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
(x-8)*3=21
x-8=21/3
x-8=7
x=7+8
x=15
When a number is added to of itself, the result is 24. The equation that models this problem is n +
n = 24.
7
What is the value n?
n = 18
On = 20
0 n=218
O n=23
Answers
Answer:
n = 20
Step-by-step explanation:
n + 1/5 n = 24
n + n/5 = 24
LCM = 5
5n/5 + n/5 = 24
( 5n + n )/5 = 24
5n + n = 5 x 24
6n = 120
n = 120 / 6
n = 20
Which of the following does an appropriately cautious reading of a receipt entail? I. Making sure that the items charged are the same as the items received. II. Asking for a second copy for your records. III. Checking to see if all of the discounts were applied properly. A. I only b. II and III c. I and III d. I, II, and III.
Answers
An appropriate cautious reading of a receipt entail making sure that the
items charged are the same as the items received and checking to see if all
of the discounts were applied properly,
When an item is bought, a receipt is usually issued which confirms that
payment has been made for the goods or services. Receipt however should
be properly checked to detect any error in the course of the transaction.
Making sure that the items charged are the same as the items received and
checking to see if all of the discounts were applied properly should be done
to avoid shortages of the resources of the parties involved.
Read more on https://brainly.com/question/25539176
Answer:
c
Step-by-step explanation:
HELP ME PLS THIS IS GRAPHING MATH ITS DUE VERY SOON PLS HELP BEFORE A BOT EATS MY QUESTION!!!!
Answers
Answer:
.
Step-by-step explanation:
.
Answer: I quessed on this with what I learned and we never learned it this way so im not sure if this is correct
It's probably not right
Step-by-step explanation:
Simplifying
13x + 6y = 180
Solving
13x + 6y = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
13x + 6y + -6y = 180 + -6y
Combine like terms: 6y + -6y = 0
13x + 0 = 180 + -6y
13x = 180 + -6y
Divide each side by '13'.
x = 13.84615385 + -0.4615384615y
Simplifying
x = 13.84615385 + -0.4615384615y
the difference of x and 15 is 62 solve for x
Answers
Answer:
x is 77
Step-by-step explanation:
Answer:
x = (-77)
Step-by-step explanation:
The other one is wrong. He did it right, but he forgot the -.
In kite WALT, m∠ELA=48∘. Identify m∠WAL.
m∠WAL = 42°
m∠WAL = 84°
m∠WAL = 48°
m∠WAL = 90°
Answers
If x + 2y = 15, what is the value of 3x + 6y/5
Answers
Answer:
I think 9 is the best answer
Answer:
9 is the answer.
Step-by-step explanation:
Given:
x + 2y = 15We can tell that '3x + 6y' is basically '15 x 3' because the whole equation has been multiplied by three. Therefore, 3x + 6y must equal 45.
=> 3x + 6y = 45
But we need to divide 45 by 5 to get the solution because the 3x + 6y has also been divided by 5.
=> 45/5
=> 9
Therefore, 9 is the answer.
[tex]GeniusUser[/tex]
The circle passes through the point (-1.5, 2.5). What is its radius?
Choose 1 answer
2.5
V1.5
1.5
/2.5
Answers
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Find the volume of a sphere with a diameter of 18.8 cm, . Use 3.14 for π. Round your answer to the nearest tenth.
869.3 cm3
1,956 cm3
1,109.8 cm3
3,477.4 cm3
Answers
Answer:
(c) 3,477.4 cm³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = 4/3πr³ . . . . where r is the radius
The radius is half the diameter, so is 18.8 cm/2 = 9.4 cm.
Using this value and the value for pi in the formula, we have ...
V = (4/3)(3.14)(9.4 cm)³ = (4/3)(3.14)(830.584 cm³) ≈ 3477.4 cm³
_____
Additional comment
You will do well to learn how to use a formula, and how to use your calculator to evaluate it. It can be useful to keep perimeter, area, and volume formulas handy for the usual plane and solid figures.
Sally bought shirts and pants for school. She bought a total of 8 items. Each pair of pants cost
$28, and each shirt cost $12. She spent a total of $144. How many pairs of pants did Sally buy?
How many shirts did she buy?
ONLY ORIGINAL ANSWERS OR NO BRAINLIEST WILL BE GIVEN AND NO SITES OR CHEET SHEETS
Answers
If my calculations are correct, Sally would be able to buy 3 pairs for 84 bucks and 5 pairs of shirts for 60 bucks, making a total of 144 bucks.
Circumference=22 feet: what is the diameter?
Answers
11 ft
since diameter is HALF of circumference
22 divided by 2 = 11
Find the equation of the linear function represented by the table below in
slope-intercept form.
Answers
Answer:
5 over 1 (5/1) or 5.
Step-by-step explanation:
y is adding 5 each time and x is adding 1 each time.
Not sure about the equation part though.
The product of its digits is 24.
It is greater than 1/2
The sum of its digits is a prime number.
Use the clues to find the mystery percent
Answers
Answer:
Step-by-step explanation:
Try .83
8 + 3 = 11
8*3 = 24
.84> 1/2
(6x +1)^2 +(6x-1)^2-2(1+6x)(6x-1)
Answers
Answer:
4 7#+$+28$;;_(#(#;$('jwhdbdisjwb
Will mark brainliest
Answers
Answer:
Quadrant 3 or aka Quadrant III
Step-by-step explanation:
The top right quadrant is the first quadrant. Aka Quardant 1
The top left quadrant is the second qudrant. Aka Quadrant 2
The bottom left quadrant is the third quadrant. Aka Quadrant 3
The bottom left quadrant is the fourth quadrtant. Aka Quadrant 4
The heart is located in the bottom left quadrant. Meaning, it is the third quadrant. Aka Quadrant 3
Follow me on intsa: ifaulkner24
Send me a message on it and I'll follow you right back
solve for x & y
plsssss, sorry.
Answers
Answer:
[tex]\huge\boxed{x=29;\ y=51}[/tex]
Step-by-step explanation:
This is Isosceles triangle (look at the picture).
We know:
All triangles have internal angles that add up to 180°
Therefore:
[tex](x-2)+(x-2)+(4x+10)=180[/tex]
combine like terms:
[tex](x+x+4x)+(-2-2+10)=180\\\\6x+6=180\qquad|\text{subtract 6 from both sides}\\\\6x=174\qquad|\text{divide both sides by 6}\\\\x=29[/tex]
(x - 2)° and 3y° are supplementary angle (Two Angles are Supplementary when they add up to 180°).
Therefore:
[tex]3y+(x-2)=180[/tex]
substitute x = 29 and solve for y:
[tex]3y+(29-2)=180\\\\3y+27=180\qquad|\text{subtract 27 from both sides}\\\\3y=153\qquad|\text{divide both sides by 3}\\\\y=51[/tex]
A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is .
The independent variable is the _____________?
The dependent variable is the ______________?
Answers
Answer:
The relationship between the number of months after the first year and the amount on the remaining card is linear and inverse ( Which meant that ,when the number of months after the first year increases , the amount on the remaining car decreases , in a linear way ) .The Independent variable is the numbers of months after the first year .The Dependent variable is the amount on the remaining card , Bcoz this amount depends on the time it has passed since the first year , ( which is our independent variable!).If we call "Y" our dependent variables and "X" our Independent variable , This relationship can be written as Y= 25 - 2.5x.If no months had passed since the first year, then x= 0 and the amount in the card equals $25 , While if one month has passed since the first year x= 1 and y= 22.5 ( The amount in the card in this case is $22.5 .Step-by-step explanation:
Hope this helps you !!On a map, two cities are 5 3/4 inches apart. the scale of the map is 1/2 inch equals 3 miles. what is the actual distance between the towns?
Answers
Answer:
18
Step-by-step explanation:
5.5 x 3=16.5
Add 1.5 and you get 18