Option A is correct.The equation for the parabola is A.(x - 3)^2 = 2(y - 2.5)
The equation for a parabola with a focus (h, k) and a directrix y = a can be expressed as:
(x - h)^2 = 4a(y - k)
The focus is (3, 4) and the directrix is y = 2, we can substitute these values into the equation:
(x - 3)^2 = 4(2)(y - 4)
Simplifying:
(x - 3)^2 = 8(y - 4)
The correct equation for the parabola is:
(x - 3)^2 = 8(y - 4)
Therefore, the answer is option A. (x - 3)^2 = 2(y - 2.5)
For more such questions on parabola
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What is the slope of the line graphed in this grid? Help.
Answer:
A slope of 2/3
Step-by-step explanation:
if you look at the line, starting at the y axis, then just count up 2 and over three, in other graphed lines, just start at the y axis and try to find where the line crosses a specific point, then calculate the rise/run.
A cube. Point B is the top right point of the top face. Point A is the bottom left point of the bottom face and point C is the top right point of the bottom face. Diagonals are drawn from B to A and from A to C. Side B C is 10 inches long, and Side A B is StartRoot 300 EndRoot inches long. What is the length of Side A C? 14 in. StartRoot 200 EndRoot in. StartRoot 290 EndRoot in. 20 in.
Answer:
the answer is b
Step-by-step explanation:
i just did the assignment
Answer:
b
Step-by-step explanation:
A polygon has vertices at (-1,1), (1,1), (1,-1) & (-1,-1) what is the perimeter in units of the polygon
Answer:
8
Step-by-step explanation:
Please help! I don't know where to start
Answer:
First find the sum of 15 n-1
Step-by-step explanation:
then you can continue to 2n-1
Evaluate the expression: 2y-9 when y = 3
Answer:
-3
Step-by-step explanation:
2·3-9
6-9 = -3
For 2 + 5(x-3) > 3x + 11, the answer is x>
Answer:
x >12
Step-by-step explanation:
2 + 5(x-3) > 3x + 11
Distribute
2 + 5x - 15 > 3x+11
Combine like terms
5x -13 > 3x+11
Subtract 3x from each side
5x-13-3x> 3x+11-3x
2x-13 > 11
Add 13 to each side
3x-13+13> 11+13
2x> 24
Divide by 2
2x/2 > 24/2
x >12
Aidan bought a pizza cut into 5 slices. If he ate one slice for lunch, what percentage of the pizza remained uneaten?
Answer:
80%
Step-by-step explanation:
You started of with 5/5 once one slice was eat it became 4/5
you must then convert 4/5 into a percent
To convert a fraction to a percent, divide the numerator by the denominator. Then multiply the decimal by 100.
so 4 divided by 5 =0.8
0.8 x 100= 80
80%
Write the percent as a fraction and as a decimal.
5% tax
Fraction (simplified) -
Decimal -
Answer:
Fraction = [tex]\frac{1}{20}[/tex] and Decimal = 0.05
Step-by-step explanation:
Percent means, some number over a hundred.
in this case we have 5%
[tex]\frac{5}{100} = \frac{1}{20}[/tex]
and for decimal form we just move the decimal 2 places to the left because our denominator is a 100 and we get 0.05.
HELP ASAPPPPP WHAT IS THE ANSWER
Answer:
point j is .55 because its .55
Step-by-step explanation:
9. Find x. Round answer to nearest whole number.
A) 58
B) 59
C) 60
D) 61
Answer:
the answer. is 60 because you round of 64
I don’t understand this
Answer:
It is plugging it the 36pye
Step-by-step explanation:
h = 36pye
what it wants you to do is plug that into all the numbers
so it be
2 x 36pye (you get it for the next one)
for the fraction ones it would
be divding 36pye by the number on the bottom
i need help the test is time and i have 5 min left can y'all pls help pls
Answer:
divide the figure into two parts.
area of square = side²
area of square =12²
area of square =144
area pf trapezium =1/2×(a+b)×h
area of trapezium =1/2×(12+6)×12
area of trapezium =108
area of polygon=144+108=252 unit²
The graph shown is a scatter plot:
A scatter plot is shown with the values on the x-axis in increasing units of 1 and the y-axis in increasing units of 10. The data moves in an upward cluster. Point A has coordinates 8 and 70. Point B has coordinates 1 and 20, point C has coordinates 3 and 40, point D has coordinates 7 and 30. Additional points are located at 2 and 10, 2 and 20, 3 and 30, 5 and 50, 5 and 40, 7 and 70, 7 and 60.
Which point on the scatter plot is an outlier? (4 points)
Group of answer choices
Point D
Point B
Point C
Point A
Answer:
D
Step-by-step explanation:
if we see on the graph, the point which is scattered is point D !
also took the FLVS test!!
Determine the projection of u=1.6i+3.3j in the v=-2.1-.5j direction.
A.8i+.2j
B.2.3i+.5j
C. -.6i-1.3j
D. -1.2i-1.1j
Answer:
[tex]0.80i +0.2j[/tex]
Step-by-step explanation:
The projection of u on v is expressed as;
[tex]proj_{v} u = \dfrac{u*v}{|v|^2} * v[/tex]
Given
u=1.6i+3.3j
v=-2.1i-.5j
u*v = (1.6i+3.3j )*(-2.1i-0.5j )
u*v = 1.6i(-2.1i) + 3.3j(-0.5j)
u*v = -3.36 - 1.65
u*v = -5.01
|v|² = (√(-2.1)²+(-0.5)²)²
|v|² = (-2.1)²+(-0.5)²
|v|² = 4.41+0.25
|v|² = 4.66
Substitute into the formula;
[tex]= \frac{1.71}{-5.01} * (-2.1i - 0.5j)\\= -0.3413 (-2.1i - 0.5j)\\= 0.8i + 0.17j\\= 0.80i +0.2j[/tex]
The price of calculator is increased from R150 to R174.What is the percentage increased
Answer:
16%
Step-by-step explanation:
(174-150)/150= 0.16
0.16*100 = 16%
I NEED HELP WITH MATH PLS
screenshot is posted below
Answer: The correct answer is A or B
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Step-by-step explanation:
PLEASEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPP
Can someone help me out please.
Answer:
area = (10 x 19) - (0.5 x 19 x 5) = 142.5 in²
Step-by-step explanation:
Answer:
142.5 in^2
Step-by-step explanation:
Area of trapezoid= a + b / 2 · h (a and b are bases of the trapezoid)
A= 5 + 10 / 2 · 19
A= 15 / 2 · 19
A= 7.5 · 19
A= 142.5 in^2
This is just one way to do it. There are many more ways.
Find the distance between the points (–10,3) and (–2,3).
Answer:
8
Step-by-step explanation:
10 - 2
hi hottie, pls help me !
Mrs. St. Louis purchased an iPhone 12 Pro. The decreasing value of her phone, after t years, is modeled by the function V(t)=1,200(0.65)^t
Fill in the numbers from the options to correctly complete the statements interpreting this function.
The phone initially cost $______
The value of the phone is depreciating at a rate of _____ % each year.
Answer:
1200
0.65
The answers are in the function
A family drinks 2 gallons of milk in 3 days,
At that rate, how many gallons will the family
drink in 15 days?
Answer: This is what I have tried --
5 gallons : 3 weeks = x gallons : 52 weeks
5/3 = x/52 (cross multiply)
3x = 260 (divide by 3)
x = 86.6 or 87 gallons
Step-by-step explanation: hope this is right
Answer:
10 gallons of milk
Step-by-step explanation:
This question is a ration every three days the family drinks 2 gallons of milk (3:2) to find how much they would drink in 15 days all you would have to do is multiple both numbers by 5 to get 15:10. This represents how much milk they drink in 15 days.
Can someone help me with this. Thank you.
Answer:
All are true
Step-by-step explanation:
2) True
3) True
4) True
trish wants to buy x oranges and y mangoes which she intends to carry in her bag. Her bag has space for only 6 fruits. Write an inequality to represent this information.
Answer:
x + y [tex]\leq 6[/tex]
Step-by-step explanation:
The amount of Oranges (x) and the amount of Mangoes (y) will add up to be less than or equal to 6.
This condition is represented by the inequality x + y ≤ 6
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
In this case, Trish wants to buy x oranges and y mangoes, and she intends to carry them in her bag.
Her bag can hold a maximum of 6 fruits.
Since she wants to buy both types of fruit, the total number of fruits must be less than or equal to 6.
The inequality to represent this situation is:
x + y ≤ 6
This inequality represents that the sum of the number of oranges and mangoes Trish buys should be less than or equal to 6, which is the maximum number of fruits her bag can hold.
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The lateral surface area of a triangular prism is 182 in. The height is 14 in. What is the perimeter of the prism?
Answer:
13 in
Step-by-step explanation:
Let s be the length of a side of the triangle
then one rectangular face of the triangular prism
would be s x 14.
There are 3 rectangular faces in the triangular prism so
Lateral Surface Area = 3 x (s x 14)
182 = 42s
182/42 = s
There are 3 sides to the triangle so
3 x (182/42) = 13
PLEASE HELP I WILL GIVE BRANLIEST
Sarah is self-publishing her 300-page novel and wants to estimate the printing costs.
Answer the questions to estimate the cost of printing a 300-page paperback book.
1. What is the y-intercept for the trend line? What is the real-world meaning of this point?
2. One point on the trend line is (200, 6). Using this point and the y-intercept, find the slope of the trend line. Show your work.
3. What is the real-world meaning.of the slope?
4. Use the slope and y-intercept to write an equation for the trend line in slope-intercept form.
5. Use your equation to estimate the cost of printing Sarah's 300-page book.
1. Y-intercept b=5
That means it has a 5.00 starting fee.
2. Using the formula (Y2-Y1)/(X2-X1) we will find the slope between the two points.
Point one (X1 and Y1) will be the Y-intercept.
X1,Y1 = (0, 5.00)
Point 2 (X2 and Y2) will be the point on the trend line.
X2, Y2 = (200, 6.00)
Plug in:
(6.00 - 5.00)/(200 - 0) = 00.5 or 1/200.
3. When printing 200 pages each page will cost $.005.
4. .005x+5
5. .005x+5
.005(300)+5=6.5
good luck♡♡!!
if ur lucky u get 25 points!
Answer:
What do you mean lucky?
Answer:
Yes
Step-by-step explanation:
What is the product of (3y^-4)(2y^-4)?
Answer:
6/ y^8
Step-by-step explanation:
HELP PLEASE 50 POINTS
expression with its simplified form.
what is m (angle) 2 if m (angle) 4 = 120°?
Answer:
if 4 is 120° then 2 is also 180° since they are opposite angles.
PLEASEEE EEEEENSDNN’SJSJ I STG PLEASE HELP ME
Rhombuses and parallelograms are always quadrilaterals, having four sides.
However, they both don't always have equal side lengths, although sometimes they do.
I hope this helps ^^