PLEASE HELP!
The equation of a parabola is y=1/2x^2+6x+23.


What is the equation of the directrix?


y = 5.5


y = 4.5


​y = 2​


​y = 0.5

Answers

Answer 1

Answer:

Step-by-step explanation:

y = ½x² + 6x + 23

  = ½(x² + 12x) + 23

  = ½(x² + 12x + 6²) - ½(6²) + 23

  = ½(x+6)² + 5

vertex (-6,5)

focal length = 1/(4∙½) = ½

directrix: y = 5-½ = 4.5

Answer 2

Answer: y=4.5 Just confirming

Step-by-step explanation:

Just a test good luck


Related Questions

Write a quadratic function f whose zeros are 6 and -5 .

Answers

Answer:

so ez

Step-by-step explanation:

HI IM INDIAN AND STUDING IN 10TH GRADE U?

A number line going from negative 60 to negative 50. An open circle is at negative 54. Everything to the right of the circle is shaded.
Which inequality has the solution set shown on the graph?
-54n < 1080
-54n > 1080
594 > -11n
594 < -11n

Answers

Answer

C

Step-by-step explanation:

Answer:

C - 594 > -11n

Step-by-step explanation:

Just got it right on edge! Have a good day! :))

NO LINKS

Please help!!

Answers

Answer:

a

Step-by-step explanation:

the total cost is 2.50$/m

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

Alternate Exterior

Step-by-step explanation:

This can be considered a alternate exterior angles as alternate exterior angles are pair of angles on the outer side of each of those two lines but on opposite sides of the transversal which angles 3 and 6 show.  

The answer is b. Alternate interior because they are opposite

Using The diagram, name two pairs of adjacent angles and two pairs of vertical angles.​

Answers

Answer:

1. adjacent: ∠ACB and ∠BCD.

vertical: ∠ACB and ∠ECD

Step-by-step explanation:

Brainliest for correct answer.

Answers

Answer:

First option

V = π [tex]r^{2}[/tex] h

Answer:

the first one

Step-by-step explanation:

Which equation finds the length of side c of this right triangle

Answers

Answer:

Find The Length Of The Side Of A Right Triangle : Example Question #1. Explanation: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides.

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Use the Pythagorean Theorem to find c:

a² + b² = c²

√a² + b² = √c²

c = √a² +b²

HELP GIVING BRAINLY!
Which expression shows how to write 1/6 - 2/3 using a common denominator

Answers

Answer:

3rd option

Step-by-step explanation:

Common denominator is 6. Multiply to get each term to a denominator of 6. Multiply first numerator and denominator by 1 and multiply 2 and 3 in the 2nd term by 2 each to get 6 as the denominator.

This will result in 1/6 - 4/6

I need help plz 7th grade math​

Answers

Answer:

-8, -11, -20. Anything negative will make it turn positive, so just do any negative number beyond -5.

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
13
8
х

Answers

Answer: x=10.25

Step-by-step explanation:

[tex]8^{2} +x^{2} =13^{2} \\64+x^{2} =169\\x^{2} =105\\x=\sqrt{105} \\x= 10.25[/tex]

Danny is painting a doghouse. To make it durable, he will paint all sides, including the bottom. The doghouse is shaped like a rectangular prism with a triangular prism on top, as shown. How many cans of paint does Danny need to cover the doghouse if each can covers 20 ft2?

Answers

Answer:

6 cans

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

gotta trust

Which of the following is the closest to the value of x

Answers

what are the answer choices?

The figure shown below is a trapezoid. What is the value of x?

Answers

Answer:

7

Step-by-step explanation:

     the traezoid has congruent legs moving from the top to the bottom

     and length is increasing by 2 each for each base, so the bottom base

     is 14.

          2x = 14

            x = 7

5.81 is 10 times as much as

Answers

its 0.581 its pretty self explanatory so im not gonna explain

87+25
[tex]12 + 10 [/tex]

Answers

Answer:

Seriously?

U don't know the answer


I need help with this if you get it right I will mark you as brainlest

Answers

Answer:

The answer is 300!

Step-by-step explanation:

Answer: $300

Step-by-step explanation:

How we find it out is by finding 25% of $1,200 which is 300

Using Cramer’s Rule, what is the value of x in the solution to the system of linear equations below?
2/5X + 1/4Y = 9/20
2/3X + 5/12 = 3/4

A)X = 0
B)X = 1
C)There are no solutions to the system.
D)There are infinite solutions to the system.

Answers

Using Cramer’s Rule, the value of x is 0

How to determine the value of x?

We have:

2/5X + 1/4Y = 9/20

2/3X + 5/12 = 3/4

Represent as a matrix

[tex]\left[\begin{array}{cc}2/5&1/4\\2/3&5/12\end{array}\right] \left[\begin{array}{c}9/20&3/4\end{array}\right][/tex]

Start by calculating the determinant of the matrix

A = 2/4 * 5/12 - 2/3 * 1/4

Evaluate the product

A = 5/24 - 1/6

Evaluate the difference

A = (5 - 4)/24

|A| = 1/24

Next, replace the last column with the first

[tex]\left[\begin{array}{cc}9/20&1/4\\3/4&5/12\end{array}\right][/tex]

Calculate the determinant

|x| = 9/20 * 5/12 - 1/4 * 3/4

Evaluate the product

|x| = 3/16 - 3/16

Evaluate the difference

|x| = 0

The value of x is then calculated as:

x = |x|/|A|

So, we have:

x = 0/(1/24)

Evaluate

x = 0

Hence, the value of x is 0

Read more about Cramer's rule at:

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0 and no solutions are both wrong, but dont know the acrual answer lol

In the year 2012, 12% of the residents of the US moved to a different residence. Suppose that several
census workers took random samples of n = 150 residents from the population and computed the
proportion p of residents in each sample who had moved in 2012
What would be the shape of the sampling distribution of p?

Answers

Answer:

Approximately normal

Step-by-step explanation:

I could really use some help with this

Answers

Answer:

see explanation

Step-by-step explanation:

f(x + 2) is a horizontal translation of f(x) 2 units to the left

f(x - 2) is a horizontal translation of f(x) 2 units to the right

Given

f(x) = x³ , then

f(x + 2) = f(x + 2)³ is a horizontal translation of f(x) 2 units left

f(x - 2) = (x - 2)³ is a horizontal translation of f(x) 2 units right

__ x 5 > 5

3/3
2/3
5/3

Answers

_ * 5 > 5

3/3 is equal to 1 which would make them equal to each other.
2/3 is less than one which means it would make the number on the left less than 5, not greater than.
the answer is 5/3 because it is bigger than the other answer choices and will result in a greater number than that on the right.
3/3 x 5=5
3/3=1
1x5=5

g(x)=x^2-5x
f(x)=2x+1
Find (g-f)(x)

Answers

Answer:

 (g-f)(x) =  x²-7x -1

Step-by-step explanation:

hello :

g(x)=x²-5x        f(x)=2x+1      

(g-f)(x) =g(x) - f(x) = x²-5x- (  2x+1 ) =  x²-5x -   2x-1

 (g-f)(x) =  x²-7x -1

cuál es el promedió de edad​

Answers

Answer:

22 años

Step-by-step explanation:

a

Answer:

Step-by-step explanation: Es una estadística que resume la distribución de la edad de la población. Hoy día, la media de edad a nivel global es 30,4 años.

Martha constructs the table below to show the relationship between her cell phone's age and the amount of time it takes to charge her phone battery. Which of the following describes the rate at which the time to charge the phone changes?
A. The time to charge the phone increases by 25 minutes with every 7.5-month increase in the phone's age.
B. The time to charge the phone increases by 15 minutes with every 7.5-month increase in the phone's age.
C. The time to charge the phone increases by 25 minutes with every 1-month increase in the phone's age.
D. The time to charge the phone increases by 15 minutes with every 2-month increase in the phone's age.

Answers

Answer:

D

Step-by-step explanation:

To find the rate of increase all you have to do is take one of the data sets to see that every two months its charge time increases by 15 minutes or 7.5 minutes every month.

If a= 35 then find b

Answers

9514 1404 393

Answer:

  35

Step-by-step explanation:

All of the marked angles subtend the same arc, so all have the same measure.

  a = b = c = d = 35

  b = 35

Invent measurements that would show triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.

Answers

Answer:

The answer is that when you put the LMN. You can rotate it. Then we know it is similar.

Using the rotation method of the triangle LMN show triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.

What is the similarity law for triangles?

It is necessary to demonstrate compliance with the law to establish that two triangles are identical in both shape and size. The angles that correspond to those sides have the same congruence and the same ratio of sides.

It is given that the two triangles are triangle XYZ and triangle NLM.

Two triangles are said to be comparable if the ratio of one triangle's two sides to the two sides of another triangle is the same, and the angles that the two sides of both triangles inscribe are equal.

Thus, triangle XYZ is similar to triangle NLM using the Side-Angle-Side Triangle Similarity Theorem.

Learn more about the similarity of triangles here:

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What is 48/25 simplified

Answers

Answer:

exact form - 48/25

decimal form - 1.92

mixed number  - 1 23/25

Step-by-step explanation:

Find the perimeter of the following triangle.
Write your answer as a mixed number in simplest form.
Be sure to include the correct unit in your answer.

1/7/18 yd
5/12 yd
1/2/9 yd

Answers

Answer:

If I did my math correctly, I'm pretty sure the answer is 3 1/36 yards.

Step-by-step explanation:

1. First, you have to turn them all into an improper fraction.

1 7/18 becomes 25/18

1 2/9 becomes 11/9

5/12 remains the same as it's already an improper fraction.

2. Find a common denominator, which is 36

25/18 becomes 50/36

11/9 becomes 44/36

5/12 becomes 15/36

3. Add them all together and you get 109/36

4. Turn it into a mixed number, and in this case, is 3 1/36

Solution is 3 1/36

Answer:

3 1/36

Step-by-step explanation:

Using the commutative property, fill in the information necessary to make this a true statement. Solve: 5 × 8 = ×

Answers

Answer: 8*5

Step-by-step explanation: Because the comutative property says you can like, switch up the orders of the numbers in a thing and it is still trye. So 5*8=8*5.

The expression using the commutative property is

5 x 8 = 8 x 5.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The commutative property states that,

a x b = b x a

Now,

Using the commutative property,

5 x 8 is equal to 8 x 5.

Thus,

5 x 8 = 8 x 5

Learn more about expressions here:

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What is the median for the set of data 3.5 1 3 4​

Answers

Answer:

3.5

Step-by-step explanation:

Test Scores

1, 1, 2, 3, 3, 4, 4, 5, 5, 5

median(middle #)

(3+4)/2 = 7/2 = 3.5

Answer:

3.5

Step-by-step explanation:

22% of _ peaches is 11 peaches

Answers

I’m pretty sure it’s 50 peaches
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