The parabola y-- (x – 3)2 + 6 has its focus at (3, 1). Determine and state the equation of the directrix.​

Answers

Answer 1

Answer: you got to Find the focus of a parabola given its equation. If you have the equation of a parabola in vertex form , then the vertex is at and the focus is . Notice that here we are working with a parabola with a vertical axis of symmetry, so the -coordinate of the focus is the same as the -coordinate of the vertex.

Step-by-step explanation:


Related Questions

7 2/9 - 5 5/7= [?] [?]/[?]​

Answers

Answer:

MARK BRAINLIEST OwO

MATH EQUATION HELP ME!!!!

2.5+3(5-2.1p)=-13.37

Answers

Answer:

p=4.9

Step-by-step explanation:

Answer:

4.9

Step-by-step explanation:

[tex]2.5 + 3(5 - 2.1p) = - 13.37[/tex]

1) Open the brackets by multiplying 3 with each term present inside the bracket.

[tex] = > 2.5 + 15 - 6.3p = - 13.37[/tex]

2) Add the constant teems present in left-hand side.

[tex] = > 17.5 - 6.3p = - 13.37[/tex]

3) Take 17.5 to right-hand side by changing its sign from positive to negative.

[tex] = > - 6.3p = - 13.37 - 17.5[/tex]

[tex] = > - 6.3p = - 30.87[/tex]

4) Take -6.3 to right-hand side by dividing -30.87 by --6.3.

[tex] = > p = \frac{ - 30.87}{ - 6.3} = 4.9[/tex]

The weight of panda bears, P, is approximately Normally distributed with a mean of 185 pounds and a standard deviation of 12.3 pounds. The weight of koala bears, K, is approximately Normally distributed with a mean of 21.5 pounds and a standard deviation of 4.8 pounds. Suppose a zookeeper randomly chooses a panda and a koala bear, where P and K are independent random variables.

What is the probability that the total weight for the two animals is 225 pounds or more?

0.020
0.081
0.195
0.851

Answers

Answer:

The CORRECT answer is B

Step-by-step explanation:

Dont mind the dork above me the correct answer is B on edge

What is the surface area of a square pyramid that has a base of 100 feet squared a base perimeter of 40 feet a height of 50 feet and a slant height of 60 feet

Answers

the surface area of the square It’s 1,300ft

PLEASE HELP! ITS A DECENTLY EASY QUESTION BUT I CANT FIGURE IT OUT!

Answers

Answer:

3,4 and 5 are correct........☺

Answer:

3,4,5

Step-by-step explanation:

To answer, we must go through all the expressions shown, solve them, and make sure that they are exactly like 3xy + 6yz.

1. We must distribute 3 to whatever is in the parentheses, but if you look, you can see that we have to multiply 3 by 6yz, which would come out to 18yz, and that is not in the original expression, so this one is FALSE

2. For this expression, we can rule it out because the first part of the expression would be 3xyz, and that is not a part of the original expression, this is one is FALSE

3. This expression, if you distribute the 3y, you get 3yx + 6zy, which is the same as the original expression, even if the variables are a bit jumbled, they all have the same value, so this one is TRUE

4. If you distribute y for this expression, you get y3x + y6z, which is the same as the original expression, because as I said before, the variables can be jumbled, but as long as all the values are there, we can safely say that this expression is TRUE

5. As you can see, this expression is the same as 4, so this one is also TRUE

Hope this helps :)

What is the area of this trapezoid?

Answers

Answer:

28

Step-by-step explanation:

add

Answer:

108

Step-by-step explanation:

a/base=12

b/base=12

h/height=9

a=[tex]\frac{a+b}{2} h[/tex]

12+12=24/2*9=108

hope this helps :) please let me know if it was wrong, have a nice day !!

Diego runs for 32 seconds at -8.1 meters per second. What is his finish point?
a. 3.2 - 8.1 = ?
b. 8.1 x 32 = ?
c. 32 x (-8.1) = ?

Answers

Answer
1. -4.9
I think

PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = -5

y = 20

Step-by-step explanation:

3x + y = 5

3x - 3x + y = 5 - 3x

y = 5 - 3x

--------------------------------------------------------

4x + 2y = 20

4x + 2(5 - 3x) = 20

4x + 2(5) + 2(-3x) = 20

4x + 10 - 6x = 20

10 - 2x = 20

10 - 10 - 2x = 20 - 10

-2x = 10

-2x ÷ -2 = 10 ÷ -2

x = -5

--------------------------------------------------------

y = 5 - 3x

y = 5 - 3(-5)

y = 5 + 15

y = 20

Hannah and her friend are training to run in a 2-mile race. On Monday, Hannah ran ½ mile. On Tuesday, she ran ⅕ mile farther than she ran on Monday.
a. How far did Hannah run on Tuesday?
b. If her friend ran ¾ mile on Tuesday, how many miles did the girls run in all on Tuesday?

Answers

Answer:

A: Hannah ran 0.7 miles on Tuesday

B: They ran 1.45 miles in total

Step-by-step explanation:

If you put all the fractions into decimal form it would be;

1/2 = 0.5

1/5 = 0.2

3.4 = 0.75

So, you add all of the decimals together;

0.5 + 0.2 = 0.7

0.7 + 0.75 = 1.45

please help solve this problem ​

Answers

Answer:

answer iss ( -2 , 0 )

Step-by-step explanation:

A flagpole and a model flag pole have a scale factor of 1 in.= 4 ft. If the model pole measures 12 inches, how tall is the actual pole?

Answers

Answer:

[tex]48\ \text{feet}[/tex]

Step-by-step explanation:

[tex]1\ \text{inch}[/tex] of the model is [tex]4\ \text{feet}[/tex] of the actual pole.

Here, the pole which is present in the model measures [tex]12\ \text{inches}[/tex], so

[tex]12\ \text{inches}[/tex] of the model will be [tex](12\times 4)\ \text{feet}=48\ \text{feet}[/tex]

Hence, the actual pole will be [tex]\boldsymbol{48\ \text{feet}}[/tex] tall.

I need help with just a and b for question 5

Answers

I think A is 145m...
200m+ (-55m) since the submarine is under water it will be negative which ends up to be 145m

Zach has an old car he wants to sell it for 60% off the current price the market price is $500 how much money will he receive in exchange for the car if you were able to sell it at that rate

Answers

He’d be able to sell it for 300.

Answer:

Step-by-step explanation:

$300

What is the final amount if 700 is decreased by 6% followed by a 7% increase Rounded to 2 decimal places

Answers

Answer:

816.67

Step-by-step explanation:

Decease by 6%:

700 * 0.94 = 658

Increase by 7%

658 * 1.07 = 704.06

Final answer: 704.06

Hope this helps!

FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!! (22pts)

Answers

Answer:

no solution

Step-by-step explanation:

x²-4 is (x+2)(x-2), which is your least common multiplier

So first, eliminate the denominators by multiplying all terms by (x+2)(x-2)

(x+2)(x-2)/(x-2) + (6x)(x+2)(x-2)/(x+2)(x-2) = 3(x+2)(x-2)/(x+2)

Then simplify

(x+2) + (6x) = 3(x-2)

combine the variables, and expand the right side of the equation

7x + 2 = 3x - 6

Subtract 2 from both sides

7x = 3x - 8

Substract 3x from both sides

4x = -8

Divide both sides by 4

x = -2

Although x = -2, the final answer is undefined.

Because if you plug x = -2 back into the equation, you would get...

for example, 3/(x+2) will become 3/(-2+2), which is 1/0

it is not possible to divide by 0

anything divided by 0 is undefined, therefore this equation has no solution.

Math slope graph please help

Answers

Answer:

the slope is -3/4

Step-by-step explanation:

its always rise over run, thats how i remember it

helppp a child out please

Answers

Answer:

The answer is 35

Step-by-step explanation:

given

an = 3n + 5

a10 = 3 * 10 + 5

= 30 + 5

= 35

Hope it will help :)

Answer:

i believe it is 35

Step-by-step explanation:

Solve for A or x, round to the nearest tenth.
13
11

Answers

Answer:

sin x = 0.85

Step-by-step explanation:

since,

sin x = opposite/hypotenuse

= 11 / 13

sin x = 0.85

Write the equation of the line in slope-intercept form of the statement
Mrs. Yakubov has $40 on a giftcard and spends $2 per coffee.*

Answers

Answer:

Y= -2x +40

Step-by-step explanation:

1. You have $1600 in a bank account that pays 3.5% annual interest compounded continuously.
Your friend has $1600 in a bank account that pays 3.52% compounded semi-annually.
Show all work:
a. Who will have more money in their account after 15 years?
b. How many years will it take for your account to grow to at least $5500?

Answers

Answer:

0.04268 or 4,27% have a good day

30°
Х
14
Find the value of x

Answers

Answer:

the answer to 40 x 14 is 420


What are the factors of -36 that will sum to give you a -5?

Answers

Answer:

4, and -9

Step-by-step explanation:

Well, to solve this problem, lets first list all the factors of -36.

-36 = 1*(-36)

-36 = 2 * (-18)

-36 = 3 * (-12)

-36 = 4 * (-9)

-36 = 6 * (-6)

-36 = 12 * (-3)

-36 = 18 * (-2)

-36 = (-36) * 1.

So, we can see that 4 + (-9) = -5.

A university's freshman class has 8900 students. 3471 of those students are majoring
in Engineering. What percentage of the freshman class are Engineering majors?

Answers

Answer:

I don't know it

Step-by-step explanation:

Please help me guys I do not know what to do at this point, but to come to yall and I really need help with this math this is due today and please I neeed you guys help I do not want to put any burden on you I am just stress thanks for understanding


Instructions: Tell weather it is a function or not and tell why

Answers

Answer:

YesYesNoNoYesYesNoYesNoNoYesNoYesNoYesYesNoYesYesNo

Step-by-step explanation:

A function does not have any repeating domains (x-coordinates).

Hope it helps!

PLEASE HELP MY TEACHER WON'T RESPOND AND EVERYONE IS BUSY!!

Answers

is this like a page?Step-by-step explanation:

PLEASE HELp:


You are at Coney Island Amusement Park, and burgers
cost $5 and hot dogs cost $3. You and your friends
spend $45. This is modelled by the equation
5b + 3h= 45.
Is the solution (2, 5) a viable solution?
show your work to the left]

Answers

Answer: No, the ordered pair (2,5) is not a viable solution

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

Explanation:

(2,5) means that b = 2 and h = 5

I'm assuming each ordered pair is of the form (b,h) where b comes first, since b is before h in the alphabet.

So if b = 2 and h = 5, then we can replace each letter with those numbers to get the following:

5b + 3h = 45

5*2 + 3h = 45 ..... b replaced with 2

5*2 + 3*5 = 45 ..... h replaced with 5

10 + 15 = 45

25 = 45

We don't get the same number on both sides, so (b,h) = (2,5) is not a solution.

--------------

Put another way:

If b = 2 and h = 5, this means you bought 2 burgers and 5 hot dogs

1 burger = $5

2 burgers = 2*5 = $10

1 hot dog = $3

5 hot dogs = 5*3 = $15

total amount spent = $10 + $15 = $25

total amount spent = $25

This does not match up with the $45 total spent that we're given. So this is another way to see we don't have a solution.

The length of a rectangle is 3cm more than its width.If the area of the rectangle is 28cm^2,find the width.

Answers

Answer:  The dimensions of the rectangle are 7 cm × 4 cm

Step-by-step explanation:

let,

Breadth of the rectangle (l) = x

Length of the rectangle (b) = x + 3

Area of the rectangle = 28 cm²

Area of the rectangle = l × b

⇒ (x) × (x + 3) = 28

⇒ x² + 3 x = 28

⇒ x² - 3 x - 28 = 0  

⇒ x² - 7 x + 4 x - 28 = 0

⇒ (x - 7) + 4(x - 7) = 0

⇒ (x - 7)(x + 4) = 0

⇒ x = 4

Breadth = 4 cm

Length -

⇒ 4 + 3

⇒ 7 cm

(05.02) In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
A straight line is shown and is marked with three angles. The first angle measures 50 degrees. The second angle measures 40 degrees. The third angle is labeled x. The line between the 40 degree angle and angle x extends below the straight line. The angle formed is labeled angle y.

Write and solve an equation to determine the measure of angle y.

Answers

☁️My Answer☁️:

y = 90°

✧My Step-by-step explanation✧:

The angle x forms a straight line with the both the 50° angle and the 40° angle:

x + 50° + 40° = 180°

x = 90°

Which means…

y = x = 90°

Burger Joint is celebrating their grand opening. For 2 milkshakes and 3 burgers, the cost is $13. For 5 milkshakes and 7 burgers, the cost is $31.
What is the cost of 1 burger plus one milkshake?

Answers

Answer:

do you mean a big mac and a smoothie?

Step-by-step explanation:

a baker took 9 hours to bake 6 cakes how long does it take him to bake 1 cake?

Answers

Answer:

1.5 hours

Step-by-step explanation:

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