how can you find the vertex of a parabola if you know it's focus and directrix? in my equation, the focus is (6,4) and the directrix is y=-2​

Answers

Answer 1

Answer:

The vertex would be (6,1)

Step-by-step explanation:

The vertex is the midway between the focus and the directrix. The X of the vertex would be the same but to get the Y of the vertex you would need to take the average of the Y values. (6, 4 + (-2)/2) (6,1)


Related Questions

Kala needs to buy some pencils. Brand A has a pack of 28

pencils for $4.19

. Brand B has a pack of 72

pencils for $9.12

.Find the unit price for each brand. Then state which brand is the better buy based on the unit price.

Round your answers to the nearest cent.

Answers

Answer: The brand should would want to pick is brand A.

Step-by-step explanation: Okay, first you divide 28 by $4.19. Then, divide brand B (72 divided by $9.12). Brand A- 6.68 |  Brand B-  7.89.

Brand A: 0.14$ for 1 pencil
Brand B: 0.12$ for 1 pencil

Brand B is the better buy because it costs less per one pencil.

For a chess tournament, there needs to be 3 teachers for every 18 students. If there are 11 teachers, how many students can go to the chess tournament?
What is the constant of proportionality? You can think about this as 18 is how many times as much as 3.
Number of Teachers Number of Students
3
×
18
11

Answers

Step-by-step explanation:

Solution:

Given,

3 Teacher = 18 students

11 Teacher = X students ( let no. of student be x)

Now,

1 teacher = 18/3

= 6 students

So, If 1 teacher is there then 6 students can play chess.

again,

No. of teacher = 11

No.of students = X

Now,

X= No.of teacher × No.of students for 1 teacher.

= 11 × 6

= 66

So , 11 Teachers can handle 66 students.

There propotion is 11/66 = 1/6 = 1:6.

Answer:

1:6 is the answer

Step-by-step explanation:

* 5 STARS + 20 PTS + THANKS * please answer the question below ASAP!

Answers

400in because there is 4 sides and each one is worth 100

Answer:

V = 8000in^3

Step-by-step explanation:

Replace s with 20 and solve the equation

V = 20^3

Calculate 20 to the power of 3 and get 8000.

V=8000

A scientist estimated that there are five hundred twenty billion grains of sand on a beach. How is that number written in scientific notation?

Answers

5.2 * 10^11 5.2 moved over 11 digits is 520 billion

i really need help with this question

Answers

Answer:

the volume of the whole shape is 676.35in^3

Step-by-step explanation:

the volume of the half cylinder is 196.35in^3

the formula used to find the volume is:

V = π * r² * h / 2

the volume of the cube is 480in^3

the formula used to find the volume is:

V = L*W*H

Please help .-.
No absurd answers

Answers

Answer:

64 ft²

Step-by-step explanation:

10 ft · 10 ft

100 ft²

[tex]A=\frac{bh}{2}[/tex]

6 · 6 = 36

36 ÷ 2 = 18

18 ft² + 18 ft² = 36 ft²

100 ft² - 36 ft²

64 ft²

64ft is the answer.

CAN SOMEONE HELP ME PLEASE

Answers

Answer:5 over 8 hope this helps you.

Step-by-step explanation:

-5/8, or -0.625 if needed for the decimal form.

Hey Please, can you answer this? :)

Here is the graph of a function showing the amount of money remaining on a subway fare card as a function of the number of rides taken.
What is the output of the function when the input is 10?

What is the input to the function when the output is 5?

Answers

It’s -5
Hope that helps

A person walking across a bridge accidentally drops an orange into the river below from a height of 40 feet. The function h = −16t^2 + 40 gives the orange’s approximate height h above the water, in feet, after t seconds. In how many seconds will the orange hit the water?
a. 1.6 seconds
b. 0.6 seconds
c. 2.3 seconds
d. 3 seconds

Answers

H=0
0=-16t^2+40
-40=-16t^2
-40/-16=2.5=t^2
t= sqrt2.5
t=1.58seconds

a

Answer:

A. is the answer

Step-by-step explanation:

Find the surface area of the triangular prism.

Answers

The surface area triangular prism:
469 square units

Just trust me please, this is the write answer
Mark me brainliest if u got it right! Plss ty

Have a nice day

Please Help!!
I'm at a D on Math so please, help me!

This will improve my grade!!

Brainliest if correct!

Answers

Answer:

1/20

Step-by-step explanation:

please give brainliest, please?

20 POINTS TO WHOEVER GETS THIS RIGHT <3

What is the value of the expression below when x=8 and y=4
9x-2y

Answers

Answer 64

Step-by-step explanation: if x is 8 you do 8 x 9 which is 72. Then you do 2 x 4 which is 8. So now you have 72 - 8 which is 64.

The answer is 64
Explanation

This figure has an area of____in^2

Answers

--Answer--

[tex]5\sqrt{2}[/tex] or 7.0710... (7.1)

--Explanation--

If you look closely the triangle on the left could be moved to the space on the right of the shape.

Then, the edges would be 10 inches (top) and 5 inches (sides).

From there, you multiply 10 x 5 to get 50. If you want the square root, you do [tex]\sqrt{50}[/tex] which is how I got 7.071067812, or 7.1, which was rounded to the nearest tenth.

eeeeeeeeeeee3ee333333333333333333333333333444444444444444444444444

Answers

Answer:45.58333333333333

Step-by-step explanation: Add them all up and then divide by twelve

A fair coin is flipped four times. Use a tree diagram to find the probability of observing
exactly two heads.

Answers

1/16

1/16

1/16

1/16

1/16

Answer 6.25%

Step-by-step explanation:

6.25%

Suppose that v = −2 and w = −1.
Which one of the following expressions is positive?

Answers

Answer:

D

Step-by-step explanation:

Only D is positive.

 

-v       -2

----- = ----- = +2

-w      -1

Answer:

D -v/-w

Step-by-step explanation:

v = -2 and w = -1

We find on calculator and in workings - / -  does =  positive

1/2 x (6 x 4) ÷ 3 + 2

Answers

Answer:

6

Step-by-step explanation:

Please help this is math

Answers

5? pretty sure it’s wrong tho so

Answer:

The volume of the ring is 12.6 [tex]cm^{3}[/tex]

Step-by-step explanation:

The volume of the ring will be equal to the increase in the volume after the ring is dropped. In order to find by how much volume increased we just subtract the volume before the ring was dropped from the volume that was recorded after the ring was dropped, and so we get...

(9.2 x 7 x 4.5) - (8.8 x 7 x 4.5) = 289.8 - 277.2 = 12.6 [tex]cm^{3}[/tex]

A certain coin is a circle with diameter 32mm . What is the exact area of each side of the​ coin?

Answers

Answer:

1.32572mm2

Step-by-step explanation:

Answer:

A≈8.04×10-4m²

Step-by-step explanation:

Is this the right answer?: 71 - 5m - \frac{8}{9}m - (-6) = 77 + \frac{37}{9}m[/tex]

Answers

Answer:

yes

Step-by-step explanation:

great job! i am proud of you!

Answer: i think so

Step-by-step explanation:

Heeeeeeeeeeelp meeeeeeeeeeee

Answers

Answer:

ok have a good day sir/ma'am!

Step-by-step explanation:

1. C=5
2.B=9


Is it possible for you to send a clearer picture

Which angle is vertical to 3 in the given figure? You may assume that the lines are straight.

Answers

Angle 5 is vertical to angle 3.

pls help no links pls

Answers

Answer:

Step-by-step explanation:

SO LETS FIND THE AREA OF THE SQUARE ( THE BASE )

8 x 8 = 64

so we have 64

SO LETS FIND THE AREA OF THE TRIANGLE ( THE LATERAL AREA )

area = (1/2) · b · h

(1/2) x 8 x 9

1/2 x 72 = 36

SO THERE ARE FOUR TRIANGLES

36 x 4 = 144

SO 144 + 64 = 208 SO THE ANSWER IS 208 :)

i don’t know lol i just need to answer 2 questions to post mines

Last month, Jennifer weighed 150 pounds. Thismorning, her weighing scale showed her weight changed by 10 percent as compared to last month. Selectall the possible weight reflected on the weighing scale.

Answers

Answer:

165

Step-by-step explanation:

150(1.1)=165

Answer:

165 pounds

Step-by-step explanation:

[tex]\frac{10}{100} =\frac{y}{150}[/tex]

100 × y = 10 × 150

100y = 1500

100y ÷ 100 = 1500 ÷ 100

y = 15

150 + 15

165

ASAP HELP
Use the following image to complete the sentences describing the ratio of big fish to small fish.

Answers

10 and 5

vyvhiknvcrfyijuedguiin

There are 8 big fish for every 10 small fish, There are 4 big fish for every 5 small fish.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We need to find the number of small fishes for 4 big fish.

We can see that the big fish and small fish numbers are in proportion to each other.

Assume the small fish corresponding to 4 big fish be 'x'.

Therefore, using the proportion of two quantities, we have;

[tex]\dfrac{8}{10}=\dfrac{4}{x}[/tex]

Now on cross multiplying we get:

8x = 4×10

8x =40

Dividing both sides by 8, we get:

x=5

Hence, there are 4 big fish for every 5 small fish.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ5

Find the area of the figure.

Answers

[tex]6 \times 3 + 6 \times 2 \times \frac{1}{2} + 3 \times 3 \times \frac{1}{2} = 18 + 6 + \frac{9}{2} = \frac{57}{2} = 28.5[/tex]m

The area of the figure is 28.5 meters squared
Explanation
Divide the figure into two triangles and a rectangle.

The area of the triangle at the top is:
6 x 2 /2= 6

The area of the triangle on the right is:
3 x 3 /2= 4.5

The area of the rectangle on the center is:
3 x 6 = 18

Add the all up:
18 + 4.5 + 6 = 28.5

Have a nice day.

How do I divide fractions by whole numbers?

Answers

Multiply the denominator of a fraction by a whole number and after you have done that,  simplify the fraction as sometimes needed.

You might want to watch a helpful video that will explain examples of how to do that if this doesn't help.

Find the volume of the prism.
H-8cm L-12cm W-6cm

Answers

Answer:

Step-by-step explanation:

Let’s break this apart.

Box= 12cm x 8cm x 6cm

Cube= 2cm x 2cm x 2cm

How many cubes fit in the box?

calculate the volume of the box. To do this, multiply the length by the width by the height (L x W x H)

12 x 8 x 6 = 576cm cubed

2. Calculate the volume of the cube. Once again we multiply L x W x H

2 x 2 x 2 = 8cm cubed

3. Next we divide the volume of the box by the volume of the cube

576 / 8 = 72 cubes

Therefore, it would take 72 cubes to fill a box.

72
multiply all the sides then divide by 8

No pic/link just type answer pls.

Answers

The answer is 2,144.66 cm. No explanation needed :)

Answer: G

This problem requires you to utilize the equation for the volume of a sphere. The volume of a sphere is [tex]\frac{4}{3}\pi r^{2}[/tex]. Because we are given the radius, the equation should be [tex]\frac{4}{3}\pi 12^{2}[/tex]. Simplify the equation to get 7238.23 [tex]cm^{3}[/tex]. (The mass doesn't really matter in this scenario. It's just additional information.)

Factor the quadratic x2+ 3x − 10. Explain your process for factoring and rewrite the original quadratic in factored form

Answers

Answer:

(x-2)(x+5)

Step-by-step explanation:

when factoring, our equation should be in this format: (x+__) (x+__) Then we have to find numbers that add up to 3 but multiply to -10 aka -2 and 5. -2+5=3 and -2(5)= -10

The first thing you must do is to find factors that equal to -10
1 x -10, -10 x 1, -2 x 5 and -5x 2. Then of these four groups of factor we chose the one that when the two factors are added equals to 3. So -2 x 5 equals 3
So are answer is
(x-2)(x+5)
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