Answer:
Step-by-step explanation:
The distance between the vertex and the directrix is 4 units, that means that p = 4 in the equation
[tex](y-k)^2=4p(x-h)[/tex] and h and k are the coordinates of the vertex. Filling in:
[tex](y+4)^2=4(4)(x+2)[/tex] which simplifies to
[tex](y+4)^2=16(x+2)[/tex] choice C
Option C is correct, (y+4)² = 16(x+2) is the the equation of the parabola, in vertex form, with vertex at (-2,-4) and directrix x = -6
What is Parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
The focus of the parabola is at a point that is equidistant to the vertex and the directrix.
Since the directrix is x = -6, the focus is at (-2+4,-4) = (2,-4).
The vertex form of the equation of a parabola is given by:
(y - k)² = 4p(x - h)
where (h, k) is the vertex and p is the distance between the vertex and focus.
In this case, (h, k) = (-2,-4) and the focus is at (2,-4). Therefore, p = 4.
Substituting the values into the vertex form equation, we get:
(y + 4)² = 4(4)(x + 2)
Simplifying, we get:
(y + 4)² = 16(x + 2)
Hence, (y+4)² = 16(x+2) is the the equation of the parabola, in vertex form, with vertex at (-2,-4) and directrix x = -6
To learn more on Parabola click:
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Determine the value of each variable below. Round to the nearest tenth.
Answer:
Step-by-step explanation:
1) tan = opposite / adjacent
tan * adjacent = opposite
adjacent = opposite/tan
adjiacent = 60/1,600335 = 37.5
2) the two leg are congruent so the two angles are congruent
the sum of the inner angles of a triangle is 180 degrees
so
a = 45 degrees
b = 45 degrees
3) cos = adjacent/hypotenuse
adjacent = cos * hypotenuse
adjacent = 0,920505 * 45
adjacent = 41.4
What is the area of this figure?
Enter your answer in the box
Answer:
and this is why I do not like math also all u got to do is count all the squares and the corners do not count as wholes u got to put two together and then it makes a whole
Step-by-step explanation:
its just that easy :D hope it was helpful
A burrito chain offers a choice of pork, chicken, beef, or veggie burritos. Each burrito also comes with a choice of either rice or beans and either hot or mild salsa.
Answer:
16
Step-by-step explanation:
4 option: Pork, chicken, beef, or veggie burritos.
and for each of the 4 options: rice, beans, hot or mild salsa.
4x4=16
Example:
Pork with rice
Pork with beans
pork with hot salsa
pork with mild salsa
etc.
Pork: 4 possibility
Chicken: 4 possibility
Beef: 4 possibility
Veggie burritos: 4 possibility
4+4+4+4=16
Hope this answer help you.
In A ABC, m2 A
= 100°, m2 B = 30°, and m2 C = 50°. Which lists the sides from largest to smallest?
Answer:
100%, 50%, and 30%
Step-by-step explanation:
Thanks for your time.
(>.<) <3 Kris
Answer:
k(jjjjjjjjhuyt67 in bbkl
PLEASE HELP HURRYYY URGENTTT
Answer:
B
Step-by-step explanation:
Substitute the x- coordinate of the solution into each equation and if the value obtained is equal to the y- coordinate of the solution, then it is the equation.
A
y = - 2(4) + 4 = - 8 + 4 = - 4 ≠ 2 ← not the equation
B
y = - [tex]\frac{3}{4}[/tex] (4) + 5 = - 3 + 5 = 2 ← this is the equation
Thus (B) could be the equation of line n
As 5 miles is approximately 8 km, 150 miles is approximately
Answer:
240
Step-by-step explanation:
5 150
-- -----
8 x
so you would then do 8 × 150 = 1200
then 1200 ÷ 5 = 240
so x = 240
Marque a alternativa correta *
1 ponto
y = 4x – 2 é uma função do 1° grau decrescente.
y = 4 – 2x é uma função do 1° grau decrescente.
f(x) = x não é uma função do 1° grau .
f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.
NRA
Step-by-step explanation:
f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.
Perform the indicated operation.
(16m2 + 40m + 25) ÷ (4m + 5) = _____
4 m + 5
4 m + 15 R. 100
4 m + 15 R. -50
4 m + 5 R. 50
Step-by-step explanation:
the answer is 4 m + 5 and my workings and the image above
Answer:
[tex]4m + 5[/tex]
Step-by-step explanation:
[tex](16 {m}^{2} +40m+25)÷(4m+5)[/tex]
[tex] \frac{16 {m }^{2} + 40m + 25}{(4m + 5)} [/tex][tex] \frac{(4 m + 5 {)}^{2} }{4m + 5} [/tex][tex]4m + 5[/tex]
Hope it is helpful....3x-6y=24 y=Mx+b form
Answer:
Hi, there your answer is[tex]y=\frac{1}{2} x-4[/tex]
Step-by-step explanation:
Let's solve for y.
3x−6y=24
Step 1: Add -3x to both sides.
3x−6y+−3x=24+−3x
−6y=−3x+24
Step 2: Divide both sides by -6.
−6y /−6 = −3x+24 /−6
y=1/2x-4
Hope this helps :)
Drag the tiles to the correct boxes to complete the pairs.
The function (x) is represented by this table of values
Answer:
Step-by-step explanation:
Average rate of change of a function between interval x = a and x = b is given by,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
Average rate of change of the function in the interval [-4, -2]
= [tex]\frac{f(-2)-f(-4)}{-2-(-4)}[/tex]
= [tex]\frac{0-(-12)}{-2+4}[/tex]
= 6
Average rate of change in the interval [-2, 1]
= [tex]\frac{f(1)-f(-2)}{1-(-2)}[/tex]
= [tex]\frac{3-0}{1-(-2)}[/tex]
= 1
Average rate of change in the interval [-3, 1]
= [tex]\frac{f(1)-f(-3)}{1-(-3)}[/tex]
= [tex]\frac{3-(-5)}{1+3}[/tex]
= 2
Average rate of change in the interval [-4, 0]
= [tex]\frac{f(0)-f(-4)}{0-(-4)}[/tex]
= [tex]\frac{4-(-12)}{0-(-4)}[/tex]
= 4
Which of the follwing are true statements about a 30-60-90 triangle?
Answer:
A and E
Step-by-step explanation:
The ratio of the hypotenuse to the shorter leg to the longer leg is 2:1: root 3
Answer:
A. and E.
Step-by-step explanation:
The length of the hypotenuse is always double the length of the shortest leg and you can find the long leg by multiplying the short by the square of 3.
8. At a winery 15 people are hired to pick grapes. They pick 15 tons of grapes, which yield 1200 to 1300 gallons of wine ( 1 ton = 2000 pounds). What is the yield percent for grapes to produce wine? ( Use 1250 gallons in calculations)
Answer:
290.4 %
Step-by-step explanation:
Since 15 tons of grapes are picked and 1 ton = 2000 pounds, then 15 tons = 15 × 1 ton = 15 × 2000 lb = 30000 lb which is the mass of the grapes.
Since 1200 to 1300 gallons of wine are produced and we are to use 1250 gallons in calculations, since the density of wine, ρ = 8.262 lb/gallon, and ρ = mass of wine, m'/volume of wine, v = m/v
ρ = m/v
So, making m subject of the formula, we have
m = ρv
substituting the values of the variables into the equation, we have
m = 8.262 lb/gal × 1250 gal = 10327.5 lb
So, the yield percent for grapes to produce wine = mass of grapes/mass of wine × 100 %
= 30000 lb/10327.5 lb × 100 %
= 2.904 × 100 %
= 290.4 %
So, the yield percent for grapes to produce wine is 290.4 %
The graph below is the graph of a function true or false
Answer:
you did not add a picture so i cannot help you i am very deeply sorry so sorry i apologize baahhahahahahahahahahahahahah
Step-by-step explanation:
Please help due at 9:36 please help
Answer:
I think it's 45, just guess bc ur in hurry
Step-by-step explanation:
What is the first step in solving the equation 2/3x+1/3x+2=5 ? Subtract 1/3 from each side of the equation. Add 2 to each side of the equation. Combine like terms. Multiply each side of the equation by 5.
Answer:
Combine like terms
Step-by-step explanation:
Tawana has $325.54 in her checking account. She must keep a balance of at least $300 to avoid a fee. She plans to write a check to pay her to pay her credit card bill of $125.43. how much must Tawana deposit in her checking account to maintain atleast the minimum balance?
hi
Answer: To pay her bill with the minimum balance to avoid the fee, she needs the total amountof $300+$125.43=$425.43. But she only has $325.54. So, the extra minimum amount she needs to deposit is 425.43-325.54=$99.89.
Hence, the answer is $99.89.
Simply as much as possible.
4.4b-2.6b
Answer:
1.4b
Step-by-step explanation:
4b-2.6b
4.0-2.6=1.4
4b-2.6b=1.4b
Answer:
1.8b
Step-by-step explanation:
4.4b - 2.6b
subtract we get
1.8 b
Here are front elevation,side elevation and plan of a 3d shape.
Neep help on finding what is the right answer.
Answer:for the first page b for the second pace a
Step-by-step explanation:
I don’t know the answer
Answer:
c = 10.5
Step-by-step explanation:
Formula: the product of the lengths of the segments of one chord equal the product of the segments of the other.
a •d = c • b
7*12 = c*8
84 =8c
Divide by 8
84/8 = 8c/8
10.5 = c
Help me I will give you brain list if you answer this first
help me with this question pls!
Answer:
8
Step-by-step explanation:
Eight Equeal Tri's
In the diagram below, BD is parallel to XY. What is the value of X?
Answer:
60º
Step-by-step explanation:
Alternate interior angles are congruent
14. Thomas counts the number of cars he sees in the parking lot of the school each hour of the
day. He counted the following number of cars the first four hours of the day.
.
13
12 cars the first hour
.
24 cars the second hour
14
.
36 cars the third hour
.
48 cars the fourth hour
15
16
What is true of the function Thomas wrote that represents the number of cars as a function
of the number of hours, h? Select all that apply.
a. The function is linear
b. The function is exponential.
c. The common ratio is 12
d. The common difference is 12.
Answer:
D
Step-by-step explanation:
it is because each number is gotten by adding 12 to the previous number
Helppppp pleaseeeeee!!!!!’
Answer:
4, 12, 36, 108
Step-by-step explanation:
a1: 4(3)^1-1 = 4(3)^0 = 4
a2: 4(3)^2-1 = 4(3)^1 = 12
a3: 4(3)^3-1 = 4(3)^2 = 36
a4: 4(3)^4-1 = 4(3)^3 = 108
What'e More
A. Independent Activity 1
Determine the following numerical values for each alasses using table 5 below
Class mark : 37-41
Independant variable is the classes
when turned about it’s axis of rotation, which shape could have created this three-dimensional object
Answer:
c
Step-by-step explanation:
Answer: A would be the answer
Step-by-step explanation:
Use a number line to help you find the sum of -24+8
Answer:
-16
Step-by-step explanation:
When adding a negative and a positive number, you need to keep in mind that your are essentially adding.
so if I have a number line
-24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14,,,,
you will start at -24 and will go up the number line (to the right) 8 times and that should get you your answer.
which expression is equivalent to 5^10 x 5^5
Answer:
[tex] {5}^{10 + 5} = {5}^{15} [/tex]
Answer:
5^15
Step-by-step explanation:
when multiplying expressions with the same base you keep the base (the base is 5 ) and add the exponents (10 and 5) then you would get your awnser
El acero de alta resistencia es el principal material de los submarinos actuales, con un límite de profundidad de 250 a 400 m para que no haya ningún riesgo de explosión. Si se sabe que la distancia entre los 2 barcos es de 188 m y que las distancias de los barcos hasta el submarino son de 152 y 192 m respectivamente. Determina si el submarino corre algún riesgo de explosión, justificando la respuesta al mencionar la profundidad a la que se encuentra el submarino.
