Find the standard form of the equation of the parabola with the given characteristics. Vertex: (-6, 1); focus: (-6, 0)

Answers

Answer 1

Answer: [tex](x+6)^2=-4(y-1)[/tex]

Step-by-step explanation:

Given

Vertex of the parabola [tex](-6,1)[/tex]

Focus of the parabola [tex](-6,0)[/tex]

As the x coordinate of vertex and focus is same and focus lie below the vertex, therefore the parabola is the type of

[tex](x+6)^2=-4a(y-1)[/tex]

distance between Vertex and focus is 1 unit

[tex]\therefore a=1[/tex]

Parabola becomes

[tex]\Rightarrow (x+6)^2=-4(y-1)[/tex]


Related Questions

An amusement park recorded the ages of the first ten people to ride a new attraction. The ages were as follows: 11, 34, 16, 18, 22, 30, 18, 20, 15, and 16. What is the mean absolute deviation of this data se

Answers

Answer:

20

Step-by-step explanation:

add all the numbers then divide by how many numbers there are.

a teacher surveys 30 students on the number of books they read over the summer the data are presented in the box plot what is the median number of books read?

Answers

There is no picture sorry

Chloe is making rice krispie treats with her friends and fills a 5 ¾ inch by 4 inch by 2 ½ inch pan to the very top. What is the volume of the rice krispie treats that the recipe makes?

Answers

Answer:

57 1/2 cubic inches

Step-by-step explanation:

Volume of the treat = length * width * height

Give

Length =  5 ¾ inch

width = 4inches

height =  2 ½ inches

Volume = 23/4 * 4 * 5/2

Volume = 23 * 5/2

Volume = 115/2

Volume = 57 1/2 cubic inches

Pls help meh!!!!
Which regression line properly describes the data relationship in the scatterplot?

Answers

Answer:

1

Step-by-step explanation:

depends if you have a table , to pick the right one always choose a one that pass more through and between the points and the one that is straight

Which fraction is equivalent to 2/3 a 4/9 b18/21. C6/8 d 16/24

Answers

Answer:

your answer is D. 16/24

Step-by-step explanation:

mark brainliest if you could please! good luck!

Answer:

D. 16/24

Step-by-step explanation:

the 2 and 3 need to be multiplied by the same number for it to be equivalent.

16/2 = 8

24/3 = 8

So 16/24 is equivalent to 2/3.

Which statement about the cylinder are true? Select two options

Answers

Answer:

[tex] \ur \: answer) [/tex]

Step-by-step explanation:

THE RÅDIÜS ØF THE CYLINDER IS[tex] \frac{1}{2} x \: units[/tex]

THE HEIGHT OF CYLINDER IS 4X UNITS .

ÙR ÃÑSWER HØPE IT HELPS YOU ✌️

Complete the missing parts of the table for the following function. y=7x​

Answers

Answers:   49,   1,   49

Those values go in the blanks from left to right

=====================================================

Explanation:

The rule we use is x^(-k) = 1/(x^k)

That means if we're evaluating something like 7^(-1), then it's the same as 1/(7^1) = 1/7 which explains how x = -1 leads to y = 1/7.

Similarly, 7^(-2) = 1/(7^2) = 1/49 is the y value when x = -2. So you'll type 49 into the first box to fill in that missing denominator.

Raising any nonzero value to the zeroth power leads to 1. That rule is x^0 = 1 where x can be anything you want but it can't be zero. Therefore 7^0 = 1 goes in the second box.

Lastly, 7^2 = 7*7 = 49 will go in the third box.

What are the coordinates of vertex ?

Answers

Answer:

(0, -8)

Step-by-step explanation:

A number is written in scientific notation.
2.089×105
Which is the same number written in standard notation?

A. 20,890
B. 28,900
C.208,900
D.289,000

Answers

If it’s 2.089 x 10^5 then the answer’s (c): 208,900

Answer:

C. 208,900

Step-by-step explanation:

Scientific notation with a positive exponent:

Start with the decimal number and move the decimal point to the right the same number of places as the exponent. The exponent of 10 is 5.

Start with 2.089

Now add some zeros to the right of the 9.

2.0890000

Now move the decimal point 5 places to the right.

208900.00

The number is 208,900

Cindy bought 7 apples, 8 plums and 9 mangoes at the Green Market. What percent of the fruits bought
were plums?​

Answers

Answer:

33.3333%

Step-by-step explanation:

7+8+9 = 24

8 plums.

8/24 = 33.3333%

Answer:

33.3333%

Step-by-step explanation:

7+8+9=24

8 plums

8/24=33.3333%

Hope this helps!

( adding and subtracting unlike fractions in word problems)

a recipe for pie calls for 1/3 cup of black berries and 2/6 cup of raspberries. what is the total amount of berries needed for the recipe? ​

Answers

Answer:

2/3 cup

Step-by-step explanation:

first you need to convert the fractions so that they have the same denominator (1/3 turns into 2/6)

then you just add up the numerators (2+2=4..... 4/6)

you can stop there or you can simplify it (4/6 turns into 2/3)

Ima mark as brainlist if u help plsss

Answers

Answer:

Hence the disagree with Ima. He used the wrong formula to find the total surface area

Step-by-step explanation:

Surface area of the triangular prism = 2B + pH

B is the base area= 1/2 * 13 * 5

B = 65/2

B = 32.5 m^2

p is the base perimter = 5 + 12 + 13

p = 30m

H is the height of the prism = 8m

Substitute

TSA = 2(32.5) + 30(8)

TSA = 65 + 240

TSA = 305m^2

HEnce the total surface area is 305m^2

Hence the disagree with Ima. He used the wrong formula to find the total surface area

If m A.) 2
B.) 4
C.) 5
D.) 3

Answers

Answer:

Miss gurl... the question not giving what its supposed to gave

Step-by-step explanation:

Is 0.35 grater than 300 mL

Answers

Answer:

yes

Step-by-step explanation:

yes

5.) James is 4 feet 7 inches tall? How tall is James in inches? A 55 inches B. 54 inches C. 47 inches D. 11 inches ?​

Answers

Answer:

55 inches

Step-by-step explanation:

4 feet x 12 inches per foot = 48 inches + 7 inches = 55 inches

The Roberts family is moving. They have storage tubs that are 2 ft long by 3 ft wide by 1.5 ft tall. What is the volume of these tubs?



please help :)??

Answers

Answer:

9

Step-by-step explanation:

Multiply all of them!

2*3=6

6*1.5=9

The answer is 9 :D

Simplify 4^3(3^2+11)(7^4-7^4)(10^10) show work

Answers

put that in photo math

simplificar la expresion 3 ( - x - 2 ) me dicen cual es ? es para un examen

Answers

Answer:

-3x - 6

Step-by-step explanation:

3 × -x = -3x

3 × -2 = -6

-3x - 6 hope this helps

Answer:

Step-by-step explanation:

Can yall get me the volume calculations for the 3 shapes? Thank you! | Geometry

Answers

Figure 1

Name = Coneh = 4 unitsd = 8

Since the diameter is 8, this cuts in half to the radius of r = 4. Plug the given values into the cone volume formula below

V = (1/3)*pi*r^2*h

V = (1/3)*pi*(4)^2*4

V = (64/3)pi  ..... exact volume in terms of pi

V = (64/3)*3.14

V = 66.98667 .... approximate volume when using pi = 3.14

========================================================

Figure 2

Name = cylinderh = 4d = 8  which cuts in half to r = 4

V = volume of cylinder

V = pi*r^2*h

V = pi*4^2*4

V = 64pi ..... exact volume

V = 64*3.14

V = 200.96 .... approximate volume when using pi = 3.14

========================================================

Figure 3

Name = rectangular prismb = 32h* = 12h = 4

b and h* are dimensions along the bottom face, aka floor

h is the height or vertical dimension of the 3D room

V = volume of rectangular prism = volume of 3D room

V = length*width*height

V = (b)(h*)(h)

V = (32)(12)(4)

V = 1536 is the exact volume

There is no approximate volume for this figure because the result above is an integer.

========================================================

Combining the figures

Adding up the volumes for figures 1 through 3 gets us

(64/3)pi + 64pi + 1536 = (256/3)pi + 1536

The exact total volume in terms of pi is (256/3)pi + 1536

If we used pi = 3.14, then it leads to

(256/3)pi + 1536 = (256/3)*3.14 + 1536 = 1803.94667

The approximate total volume of all three figures combined is roughly 1803.94667 cubic units

Determine the intercepts of the line.
y=10x-32

Answers

Answer:

x int: (3.2, 0)

y int: (0, -32)

Step-by-step explanation:

x int: y=0

10x-32 = 0

10x = 32

x = 3.2

(3.2, 0)

y int: x = 0

y = -32

(0, -32)

Type the expression that results from the following series
of steps:
Start with x and multiply by itself.

Answers

Answer: x^2 (the ^ represents that the next number is an exponent)

Step-by-step explanation:

Any number squared (to the power of 2) is just itself multiplied by itself. Remember, multiplication is repeated addition and exponents are repeated multiplication.

ints khan academy please answer fast

Answers

sorry if i’m wrong but the answer should be -3 + -8 = -11

joe rolls a six-sided number cube and flips a coin. What is the probability that he rolls an odd number and flips a head on the coin? Help ASAP please!

A. 1/6
B. 1/4
C. 1/2
D. 2/3
E. 3/2

Answers

of the odd number it would be 3/6 in other words 1/2 Step-by-step explanation:

Answer:

c.1/2

Step-by-step explanation:

A jacket with an original price of $98.60 is discounted 65%. What is the
Sale Price?

Answers

Answer:

34.51

Step-by-step explanation:

It would be 98.60*65% and then subtract that answer with 98.60.

So, we get 34.51

Answer:

$34.51

Step-by-step explanation:

65% discount means 0.65 off

0.65× 98.60=64.09

Meaning $64.09 off

Sale price= 98.60-64.09

$34.51

Help plz..And No links!! I repeat No links!!

Answers

Answer:

it is 12 yards .hnuhbuy yg7ygbv bghh

whats the greatest 10 you can multiply by 19 to get close to, , but not over, 684?

Answers

Answer:

the desire expression is 19multiply(3 tens)=19multiply30=570

Step-by-step explanation:

19 ✖️ 1ten=19 ✖️ 10=190

19 ✖️2tens=19 ✖️ 20=380

19 ✖️ 3tens=19 ✖️ 30=570

19 ✖️ 4tens=19 ✖️ 40=760

but here 760 is over the given terms 684,but 570 is the nearest value to the value 684

so the desire expression is 19 ✖️ 3tens=19 ✖️ 30=570

Answer:

hey

Step-by-step explanation:

is a greater than, less than or equal to 43°?
43
Choose 1 answer:
A
> 43°
B
< 43°
2 = 43

Answers

Answer:

C ( x = 43 )

PLEASE MARK BRAINLIEST!

Simplify this expression. Assume that x is nonzero.
x^−11•x^2

Answers

i think the answer is 1/x^9

Answer:

x^-11•x^2

using the law of indices...

x^(-11+2)

x^-9

I really need help on this! Thank you in advance!!!

On Sarah’s shelf are 6 mystery books, 5 sciences books, 4 history books, and 3 adventure books. Sarah will randomly choose one book to read. What is the probability that she will choose a mystery book?

Answers

Answer:

1/3 chance she will chose a Mystery Book.

Step-by-step explanation:

I hope This helps?

Total= 18

mystery=6

6/18= 1/3

Answer:

the answer is 1/3 or 6 out of 18

Explain how an equation is like a balanced hanger plzzz answer due today

Answers

A hanger stays balanced when the weights on both sides are equal.

An equation can be compared to a balanced hanger. We can change the equation, but for a true equation to remain true, the same thing must be done to both sides of the equal sign.
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