What are the coordinates for the vertex of the parabola represented by the quadratic equation
y=1/2(x + 4)^2 – 2?

Answers

Answer 1

Answer:

(-4, -2).

Step-by-step explanation:

Compare y = (1/2)(x + 4)^2 – 2 to the standard equation:

                y =    a(x - h)^2 + k       whose vertex is at (h, k).  

We see that h = -4 and k = -2.  Thus, the vertex of the vertex of the given parabola are (-4, -2).


Related Questions

Anybody know the answers?

Answers

Answer:

1 adult = 16 students

a = 16x

Step-by-step explanation:

Help!
△LMN is the result of a reflection of ​ △XYZ ​ across the y-axis.

Which angle in the image corresponds to ∠X in the pre-image?

∠L
∠M
∠N

Answers

Answer:

∠X in the pre-image will be equal to ∠L in the main image

Step-by-step explanation:

△LMN is the result of a reflection of ​ △XYZ which means △LMN is the mirror image​ △XYZ

hence, the left of △XYZ will be equivalent to the right of △LMN and the right of △XYZ will be equivalent to the left of △LMN

Hence, ∠X in the pre-image will be equal to ∠L in the main image

The bar graph shows a company’s income and expenses over the last 5 years. Which statement is supported by the information in the graph?

A) The income in Year 5 was twice the income in Year 1
B) The combined expenses in Years 3 and 4 were more than the combined income in Years 3 and 4
C) Expenses have increased each year over the last 5 years
D) The combined income in Years 1, 2, and 3 was equal to the combined expenses in Years 1, 2, and 3

Answers

Answer:

B

Step-by-step explanation:

Kinda hard to explain but I'm pretty sure it's B

In triangle ABC, m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘.
What is the value of x?

Answers

Answer:

x = 23

Step-by-step explanation:

A triangle contains 180°. So, simply create the equation m∠A + m∠B + m∠C = 180° and solve for x.

2x + 3x + 1 + 3x - 5 = 180

8x - 4 = 180

8x = 184

x = 23

The value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.

What is triangle angle sum theorem?

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

In triangle ABC,

m∠A=(2x)∘, m∠B=(3x+1)∘, m∠C=(3x−5)∘.

As, the sum of all the angles of triangle is equal to the 180 degree. Thus,

[tex]m\angle A+m\angle B +m\angle C=180^o\\(2x)+(3x+1)+(3x-5)=180\\2x+3x+3x=180+5-1\\8x=184\\x=\dfrac{184}{8}\\x=23^o[/tex]

Thus, the value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.

Learn more about the triangle angle sum theorem here;

https://brainly.com/question/7696843

#SPJ2

Divide £104 in the ratio 3:5

Answers

Answer:

39:65

Step-by-step explanation:

104/(3+5) = 104/8 = 13    13(3):13(5) =  39:65

This equation calculates the value, P, of an account with an initial deposit of P0 and an interest rate of r compounded n times per year after t years.
P = P0 (1+r/n)nt
Vanessa deposits $700 in a savings account with an interest rate of 2% compounded monthly. Assuming she neither adds to nor withdraws from the account, what will be the approximate value of the account in 7 years?
А. $889.57
B. $887.77
C. $714.13
D $805.10​

Answers

Answer:D

Step-by-step explanation:

Plug in 700 for P0, .02 for r, 12 for n and n, and 7 for 5.

Approx value of the account in 7 years will be 805.10$.

What is compound interest?

Simple interest and compound interest are the two methods for calculating interest. Simple interest is computed on a loan's principal, or initial loan amount. Compound interest is sometimes referred to as "interest on interest" since it is computed using both the principal and the accrued interest from prior periods.

Given that equation calculates the value, P, of an account with an initial deposit of P0 and an interest rate of r compounded n times per year after t years.

P = P0 (1+r/n)nt

Vanessa deposits $700 in a savings account with an interest rate of 2% compounded monthly. Assuming she neither adds to nor withdraws from the account.

Hence, initial deposit:$700.00

Interest rate:2% yearly

Time:7 years

Compounding: Monthly so n = 12

put these values in the given equation. we will get P = 805.10

Therefore the value of the account in 7 years will be 805.10$.

Learn more about Compound interest here:

https://brainly.com/question/29335425

#SPJ2

Kaitlin walks 2.5km every day. How far does she walk in 5 days?

Answers

Answer:

12.5km

hope this helps

have a good day :)

Step-by-step explanation:

Answer:12.5Km

Step-by-step explanation:

You do 2.5 x 5



Lily invested $12,300 in an account for 15 years that compounds interests continuously at rate of 3.75%. What is her account worth after that time?​

Answers

Answer:

3,075

Step-by-step explanation:

What is the distance between points A and B? Enter your answer, rounded to the nearest tenth, in the box. units

Answers

Answer:

Distance between A and B = 10.4 unit (Approx.)

Step-by-step explanation:

Given:

Coordinate of A = (-5 , 2)

Coordinate of B = (5 , 5)

Find:

Distance between A and B

Computation:

Using distance formula

Distance between two point = √(x1 - x2)² - (y1 - y2)²

Distance between A and B = √(-5 - 5)² - (2 - 5)²

Distance between A and B = √(-10)² - (-3)²

Distance between A and B = √100 + 9

Distance between A and B = √109

Distance between A and B = 10.4403

Distance between A and B = 10.4 unit (Approx.)

Answer:

10.4

Step-by-step explanation:

took the k12 test (:

numbers greater than 10 from 1 to 15​

Answers

bro just count?????? 11, 12, 13, 14, 15??????

Answer:

11,12,13,14,15

Step-by-step explanation:

The number scale goes like this 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 so look at the numbers in between 10 and 15 except dont count in ten because they have to be greater the 10. so therefor 11,12,13,14,15 :)


Select the line that is equivalent to 5x +2y=6.

Answers

Answer: It will be C, 5x + 2y = 6 is equivalent to y = -5/2x + 3

The equivalent equation for the given is y=-5/2x+3. Therefore, option A is the correct answer.

What is the equation of a line?

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

The given equation is 5x +2y=6.

The equivalent equation is 2y=-5x+6

y=-5/2x+6/2

y=-5/2x+3

Therefore, option A is the correct answer.

To learn more about the the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ2

Select the line that is equivalent to 5x +2y=6.

A) y=-5/2x+3

B) y=5/2x-3

C) y=-2/5x+6/5

D) y=2/5x-6/5

PLEASE HELP
What is the slope of the line shown below? (Enter your answer as a decimal if
necessary.)
(1, 2)
(-1, -4)

Answers

Answer:

-4-2/-1-1=-6/-2= 3

So the answer is 3

Translate into PROP, using the conventions.

a. Pia is guilty only if Raquel is.
b. Pia is guilty if Raquel is.
c. If Quinn or Raquel is guilty, then Pia is too.
d. If neither Pia nor Quinn is guilty, then neither Raquel nor Stan is guilty.
e. If Pia is guilty, then if Raquel is guilty then Quinn is guilty.

Answers

Answer:

The associated PROPS are as follows:

a:[tex]P\rightarrow R[/tex]

b: [tex]R\rightarrow P[/tex]

c:[tex](Q \vee R)\rightarrow P[/tex]

d:[tex]\sim(P \lor Q)\rightarrow \sim(R \lor S)[/tex]

e:[tex]P\rightarrow (R\rightarrow Q)[/tex]

where

P is Pia is guilty

R is Raquel is guilty

Q is Quinn is guilty

S is Stan is guilty

Step-by-step explanation:

When only if is used the conditional antecedent and consequent are interchanged thus the first one is written as such.

In addition to this, the different symbols are used such that their logical meanings are clear.

Find the perimeter of an isosceles triangle with a base of 48 in and a height of 14 in.
will mark brainlist dont give me that link

Answers

Answer:

I think the answer is 103.6

Step-by-step explanation:

divide the base by 2, which will give you 24 and find the hypoteneuse with Pythagorean theorem

(14)^2 + (24)^2 = /742 = 27.8

27.8x2 + 48 = 103.6

hope that answers your question

Help ASAP
What is the highest common factor of 180 and 168

Answers

Answer:

Its 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

make a factor tree, find the product of the prime factors, it will be 12.

Find the value of y. It’s geometry hw! plz only answer if you know how to do this. thank you

Answers

Answer:

48

Step-by-step explanation:

Imagine that all of the other angles within the circle are gone except for the angle "y".

Now kindly look at the image.

We would be left with angle y as the inscribed angle and 96° for the measure of the intercepted arc.

The relationship between intercepted arcs and inscribed angles is that the inscribed angle is equal to half the measure of the intercepted arc.

So y is equal to half of the measure of its intercepted arc. ( Which in this case has a measure of 96° )

so y = [tex]\frac{96}{2}[/tex]

96/2=48

Hence the value of y is 48

Help Plis.........................

Answers

Answer: Herba has a greater balance and Nour has more debt.

Step-by-step explanation: Herba's account balance is a positive number and is clearly greater than Nour's account balance; therefore, Herba has a much greater balance. On the other hand, Nour's account balance is a negative number and is clearly less than Herba's; therefore, Hour is in more debt since he has to pay back the money that he borrowed.

Pls help if u cannnnnnnnnn

Answers

Answer:

V≈2144.66m³

Step-by-step explanation:

V=4 /3πr^3

d=2r

Solving for V

V=1/ 6πd^3=1/ 6·π·16^3≈2144.66058m³

Hope this helped!!!

Answer:

2143.57 m³

Step-by-step explanation:

Formula of volume of sphere

[tex] = \frac{4}{3} \times π \times {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]

[tex] = \frac{6430.72}{3} [/tex]

[tex] = 2143.573333...[/tex]

= 2143.57 m³ (rounded to the nearest hundredth)

Which expression says," 11 less than twice n?"
(1) 11 - 2n
(2) 11 + 2n
(3) 2n - 11
(4) 2n + 11​

Answers

Answer:(1) 11-2n is the correct answer

Step-by-step explanation:

hope it helps you

You are rolling a pair of dice what's is the probability of getting different numbers on both dice

Answers

Answer:

[tex]Pr = 0.833[/tex]

Step-by-step explanation:

Given

A roll of a pair of dice

Required

The probability of getting different numbers

First, list out the sample space;

We have:

[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6),[/tex]

[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]

 [tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex]

The total is:

[tex]Total = 36[/tex]

The outcomes of the different numbers are:

[tex]Different = \{(1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 3) (2, 4) (2, 5) (2, 6),[/tex]

[tex](3, 1) (3, 2)(3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 5) (4, 6)[/tex]

[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) \}[/tex]

The total is:

[tex]Different = 30[/tex]

So, the probability of having a different outcome is:

[tex]Pr = \frac{Different}{Total}[/tex]

[tex]Pr = \frac{30}{36}[/tex]

[tex]Pr = 0.833[/tex]

Find the area of the figure.
PLS I NEED HELP FAST I BEG YOU!

Answers

585 is correct!

LxWxH is for area

Mark with crown!

6. Find the 20 ^ (th) term of the arithmetic sequence. 42,28,14,0,-14,...

Answers

Step-by-step explanation:

[tex]U _{ {20}^{th} } = a + (n - 1)d \\ = 42 + (20 - 1) \times 14 \\ = −252[/tex]

One day, a group of people had a driving test.

40 of this group were men and the rest were women.

5/3 of the men and

3/2 of the women passed the driving test.

The number of men and women that passed the driving test was the same.

Work out the number of women that took the driving test that day.

Please some help would be greatly appreciated with this question as it is imperative to me that i solve it
thanks

Answers

Answer:

every other night another $1 getting made

Step-by-step explanation:

Answer:

eeeeeeeeeeee nose

Step-by-step explanation:

WILL GIVE BRAINLIEST TO THE RIGHT ANSWER
Tabitha and Paco are in a video game room that consists of 10 games. How many different ways can they play all 10 games if they play each game once?

A.362,880

B.20

C.3,628,800

D.55

Answers

Answer:

Its C

Step-by-step explanation:

Hannah is buying a shirt in a state where the sales tax is
6.25%. The price of the shirt is $14.99. By which number
should Hannah multiply $14.99 to determine the total sales
tax?

Answers

Answer:

The number is 0.0625

Select all that are equal to 3. log28 log416 log327 log101,000

Answers

Answers on edg. are:

log2 8

log3 27

log10 1,000

Step-by-step explanation:

Yo just trust me ight

4−(3−5)=.

does anyone know what this is ??

Answers

You have to do whatever is in the parentheses first which gets you:

4-(-2)

Two negatives equal one positive so it would be:

4+2


And 4 plus 2 is of course 6.


The product of two numbers is 75
one of the two numbers is a perfect squar. The other is a prime number. Find the sum of the two numbers.

Answers

Answer: 8

Step-by-step explanation: numbers are 5 and 3.

5²·3 =75

(4x - 20) I really need help on this

Answers

Answer:

-80

Step-by-step explanation:

To find x, set the equation equal to zero

4x-20=0

the next step is to isolate the variable, you can do this by adding 20 to both sides, remember when you change one side of the equal sign you must do the same to both

4x=20

now you can divide by 4 to get x by itself, again divide both sides of the equation

4x/4=20/4

x=5

After doing the division we see that x is equal to 5, and you can always check to see if your answer is correct by plugging it back into the equation:

4(5)-20=0

20-20=0

Hope this helps :)

Write and solve a proportion to find the missing value. Then find the measure of \overline{LT}
LT
.

Answers

35

Step-by-step explanation:

Other Questions
state two differences between tastic and nastic movement in plants If you continually experience budget defi-cits, how can you decide which expensesto cut? you think the passengers on the Challenger took a necessary risk?say 3 reasons why you think they did/ didnt A box of cereal is halfway full. How much cereal is in the box? 14 in 2 in 8.8 in If 1.00 g of KCl is completely dissolved in 24.5 g of water, what is the percent composition (by mass) of the solution that is formed? What is the theme of the book thief? Graph the line with the equation y = 1/2x+3 Plz help me. Freaking Brainly won't let me put just "Plz help me" cuz its too short..smh An infant's toy has a 120 g wooden animal hanging from a spring. If pulled down gently, the animal oscillates up and down with a period of 0.54 s . His older sister pulls the spring a bit more than intended. She pulls the animal 32 cm below its equilibrium position, then lets go. The animal flies upward and detaches from the spring right at the animal's equilibrium position. Part A If the animal does not hit anything on the way up, how far above its equilibrium position will it go Brainliest giveawayWrite an equation in slope-intercept form of the line that passes through the given points. Solve the equation for x. 6 E n=1 (x-3n)=-3 Which of the chemicals in the following chemical reaction is the conjugate base?CH3COOH + CH3NH2 --> CH3C00- + CH3NH3+A.)CH3NH2B.)CH3COOC.)CH3COOHD.)CH3NH3+ 4.4.24Question HelpLet AABC ADEF. Find mZE.The value of mZE is 19(Simplify your answer. Type an integer or a decimal.)(83+y)2x+636x +3(49-23)E Help please Which situation had a global impact after the end of World War I? A. A deadly virus killed millions of people. B. An archduke was assassinated in Europe. C. More and more people planted victory gardens. D. The Triple Alliance and Triple Entente formed. Construct an argument based on data about the risks and benefits of renewable and nonrenewable energy resources.Argument should consist of at least 100 words. Find area using law of sines A family went to a restaurant for dinner. The bill before tax and tip was $52.78. The sales tax is6.5%, and the family wants to tip 18%. The tip is on the cost of the food plus tax.What was the total cost of the meal, including tax and tip?A$66.33B$65.71$62.28D$56.21 JKLM is a rectangle. Find the value of x.Help me fast please The Turks are descendants of herders from South America. Please select the best answer from the choices provided T F Please help fast in the diagram below, the measure of angle W is 5 times as large as the measure of angle X. what is the measure of angle W?