Complete the square to write the equation, 4x2 24x – y 43 = 0, in standard form. y = (x )2

Answers

Answer 1

An equation is formed of two equal expressions. The equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation that is given to us is 4x²+24x-y+43=0, and we need to write the given equation in the form of y=(x)². Therefore, the equation can be solved in the following steps,

[tex]4x^2+24x-y+43=0\\\\4x^2+24x-y+36+7=0\\\\(4x^2+24x+36)-y+7=0\\\\(2x+6)^2-(y-7)=0\\\\(y-7)=(2x+6)^2[/tex]

Hence, the equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

Learn more about Equation:

https://brainly.com/question/2263981


Related Questions

The morse code is "FOUR BEFORE DECIMAL" I need help with the math problem and how FOUR BEFORE DECIMAL fits into it

Answers

Answer:

the answer is 113.5

Step-by-step explanation:

rate brainliest!

Answer:

114

Step-by-step explanation:

3^5 = 243

4^2 = 16

(243 - 16) / (4 + (-2))

227/2 = 113.5

I think that the morse code phrase refers to rounding the answer

which comes to be...

114

Therefore the 4 is before the decimal

I am not entirely sure, but that is what I think it is

PLEASE RATE!! I hope this helps!!

If you have any questions comment below


what is the area of this triangle?

Answers

Area of triangle =1/2*b*h
=(1*5*6)/2
=15cm^2

y=|x-3|+|x+2|-|x-5| if x < -2
what does y equal

Answers

Answer:

y= |x-3|+ |x+2|-|x-5|; x<-2

y=-2

Express the decimal as a percent. 1.276

60 points.

Answers

To change a decimal to a percentage, all that we have to do is multiply the decimal by 100 (or move the decimal point to the right two places).

1.276 x 100 = 127.6

Percentage: 127.6%

Hope this helps!

If x+2y=13 find the value of y when x is

Answers

Answer:

x is what????

Step-by-step explanation:

*prove de/ae = bd/ce*
triangle proportionality.
i am able to find that the triangles are similar but don’t know how to prove the parallel sides are proportional to the side segments

Answers

Explanation:

You can use the definition of similarity to show that corresponding sides are proportional. You cannot prove anything about the proportionality of non-corresponding sides.

Statement . . . . Reason

1. BD║CE . . . . given

2. ∠A≅∠A . . . . reflexive property of congruence

3. ∠ABD≅∠ACE . . . . corresponding angles theorem

4. ΔABD ~ ΔACE . . . . AA similarity postulate

5. BD/CE = AD/AE . . . . definition of similarity

_____

Additional comment

Length DE is related to BC in the same way that AD is related to AB. There is no way to prove the ratio you show in your problem statement. You can show that ...

  DE/AE = (CE -BD)/CE = 1 -(BD/CE) . . . . the difference is proportional to the corresponding longer side

Write the y-intercept of the graph of 8x − 4y = 2?

Answers

Answer:

b= -1/2

Step-by-step explanation:

-2/4 is simplified to -1/2 as the y-intercept

y= -4x - 1/2

The circumference of a circle is 15pi centimeters. What is the area of the circle in terms of pi?

Answers

Answer: [tex]56.25\pi[/tex]

Step-by-step explanation:

The circumference of a circle can be found using [tex]d\pi[/tex], where d is the diameter. In this case, we can clearly see the diameter is 15.

Next, we must find the radius as the formula for the area of a circle is [tex]\pi r^2[/tex]

The radius is half of the diameter. [tex]\frac{15}{2} =7.5[/tex]

Now sub in this value for the formula of the area of a circle

[tex]\pi r^2\\\\\pi (7.5)^2\\\\56.25\pi[/tex]

Answer:

56.25[tex]\pi[/tex]

Step-by-step explanation:

circumference=2[tex]\pi r[/tex]

15[tex]\pi[/tex]=2[tex]\pi r[/tex]

r=7.5

Area=[tex]\pi r^{2}[/tex]

       =[tex]\pi * 7.5^{2}[/tex]

       = 56.25[tex]\pi[/tex]

Can anyone help me calculate the average rate of change of f(x)?

Answers

Answer:

Step-by-step explanation:

What is the expected probability of spinning a 1 on the following spinner?

a spinner with 5 equal sections labeled 1 through 5.

enter your answer as a fraction, like this: 42/53

Answers

Answer:

1/5

Step-by-step explanation:

1. for his birthday, you buy your dad a package of tennis balls that come in a
cylindrical container with diameter 6.9 cm and height 20.6 cm. you cover
the container in wrapping paper before giving it to him. what is the area
of the wrapping paper? assume there is no overlap. round to the nearest
whole number.
a. 447 cm b. 521 cm
c. 1192 cm d. 3111 cm

Answers

Answer:

Why is it so important to know the area of wrapping paper it's just paper?

But anyways the answer is b 521 cm

Step-by-step explanation:

Please I really need help!? NOW!! Will give brainest!!

Answers

Answer:

the figure is a rectangle with a side of trapezium

according to my calculation the answer is

196m²

explanation

Area of trapezium =½(10+8)×4=36

Area of rectangle =10×16=160

add=160+36

therefore the answer is 196m²

Based on her results, what is the probability that a student randomly picked in her class chose comedy as their favorite?

1. 1/14
2. 2/7
3. 1/2
4. 1/7

Answers

Answer:  2/7

Explanation:

8 people picked comedy out of 14+8+2+4 = 28 people total.

8/28 = (4*2)/(4*7) = 2/7 is the probability of randomly selecting someone who picked comedy as their favorite.

What is a necessary step for constructing perpendicular lines through a point on a line?

O Draw a line that intersects the first line at an acute angle using a straightedge.

O Draw a ray that intersects the first line at an acute angle using a straightedge.

Draw arcs on either side of a given point on the line,

Draw ares on either sig, of a given point of the line

Answers

A necessary step for constructing perpendicular lines through a point on a line is D. Draw arcs on either side of a given point of the line.

What is a perpendicular line?

A perpendicular line simply means the lines that intersect at 90 degrees.

In this case, a necessary step for constructing perpendicular lines through a point on a line is to draw arcs on either side of a given point of the line. This can be done by opening the compass bans marking two points of intersection between the arcs in a given line.

Learn more about perpendicular lines on:

https://brainly.com/question/2531713

Answer:nj

Step-by-step explanation:

j

6. this solid has curved sides. all cross sections parallel to the base are squares measuring 3 units on each side. the height from the base to the top is 5 units. what is the volume of this solid ?

nooo websites !!!

Answers

The volume of the given solid prism is: 3 × 3 × 5 = 45 units³

What is the Volume of a Solid prism?

The volume of any solid prism = base area of prism × height of the prism.

Given the following dimensions of the solid prism:

Height of the solid prism = 5 unitsBase area = 3 × 3 = 9 units²

Volume of the solid prism = 9 × 5 = 45 units³

Learn more about volume of solid prism on:

https://brainly.com/question/5793407

please help??????????????????????????????? so confused

8s-11s+6s

Answers

Answer: = 3 seconds

Step-by-step explanation: combine the like terms Hope it helps !!

To simplify: 8s - 11s + 6s. Simplify the like terms by combining them

Simplifying 8s - 11s + 6s will give 3s.

Given,

8s - 11s + 6s

Now,

Expression : 8s-11s+6s

To simplify the expression combine like terms. So, all the terms consists of variable s.

Combine all terms having same sign,

So,

Firstly apply addition

8s + 6s

= 14s

Now,

Apply subtraction,

14s - 11s

= 3s

Therefore the simplified version is 3s.

Know more about expressions,

https://brainly.com/question/22535683

#SPJ6

Number 8 please thanks!

Answers

[tex]4b(b+2)=16+4b^2\\4b^2+8b=16+4b^2\\8b = 16 + 4b^2-4b^2\\8b = 16\\b = 2[/tex]

Hope that helps!

Help on this please.

Answers

Answer:

total - given, 360 -139 = 221

Miranda deposits $100 into a savings account. she decides that she will make one deposit at the end of each month and that she will increase the amount that she deposits by 10% each month.


a. complete the table to show the amount of money miranda deposits at the end of each month for the first 4 months

Answers

Using an exponential function, it is found that the amounts deposited at the end of each month are given by:

At the end of the first month, she deposits $110.At the end of the second month, she deposits $121.At the end of the third month, she deposits $133.1.At the end of the fourth month, she deposits $146.41.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

In this problem, we have that A(0) = 100, r = 0.1, hence the equation for the amount deposited after t months is:

[tex]A(t) = 100(1.1)^t[/tex]

Then, for each of the first four months:

[tex]A(1) = 100(1.1)^1 = 110[/tex][tex]A(2) = 100(1.1)^2 = 121[/tex][tex]A(3) = 100(1.1)^3 = 133.1[/tex][tex]A(4) = 100(1.1)^4 = 146.41[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

On Melissa's 6th birthday, she gets a $6000 CD that earns 7% interest, compounded semiannually. If the CD matures on her 14th birthday, how much money will be available?

Answers

if the CD matures on her 14th birthday, that means 8 years after she got it, since she got it in her 6th birthday, so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &8 \end{cases} \\\\\\ A=6000\left(1+\frac{0.07}{2}\right)^{2\cdot 8}\implies A=6000(1.035)^{16}\implies A\approx 10403.92[/tex]

Is (2,10) a solution to this system of equations?

y = 4x + 2
y = x + 8

Yes or no

Answers

Answer:

yes, it is

Step-by-step explanation:

10 = 4(2) + 2

10 = 8 +2

10 = 10

10  = 2 + 8

10 = 10

Answer:

The answer is yes

*View the attached graph to check your answer graphically.*

Step-by-step explanation:

y = 4x + 2

y = x + 8

For this problem, I will be using substitution, since the second equation is already in the slope-intercept form.

First, I will substitute the second equation, for y, in the first equation:

y = 4x + 2

y = x + 8

x + 8 = 4x + 2

Next, subtract 4x from both sides to isolate x:

x + 8 = 4x + 2

-4x      -4x

-3x + 8 = 2

Then, subtract 8 from both sides:

-3x + 8 = 2

     - 8    - 8

-3x = -6

Now, divide both sides by -3:

-3x = -6

/-3    /-3

x = 2

Now, we find the value of y by substituting 2 for x:

y = 4x + 2

y = 4(2) + 2

y = 8 + 2

y = 10

(x, y) ==> (2, 10)

Therefore, yes (2,10) is a solution to this system of equations.

*View the attached graph to check your answer graphically.*

Hope this helps!

If K is the midpoint of segment JL, JK = 8x + 11 and KL = 14x - 1, find JK.

Answers

Answer:

  27 units

Step-by-step explanation:

A midpoint divides a line segment into two congruent parts. K being the midpoint of segment JL means ...

  JK = KL

  8x +11 = 14x -1 . . . . . substitute given expressions

  12 = 6x . . . . . . . . add 1 -8x

  2 = x . . . . . . . . divide by 6

Then the length of JK is ...

  8x +11 = 8(2) +11 = 27

JK is 27 units long.

_____

Additional comment

KL = JK = 27 units

JL = 2(27 units) = 54 units

I need help ASAP...

(reward 10 points)

Answers

Answer:

it may be C im sorry if its wrong

Step-by-step explanation:

please mark me the brainiest

Answer:

The answer is a negative correlation.

Step-by-step explanation:

It is a negative correlation because when the y variable tends to decrease as the x variable increases, you can say there is a negative correlation between the variables.

Which expression is equal to – 8s – 2s2 + 23s – 4?

A. -2s^2 + 15s - 4
B. -10s^2 + 23s - 4
C. -2s^2 - 8s + 19 - 4
D. 13s^2 - 4

Answers

Answer:

A. -2s^2 + 15s - 4

Step-by-step explanation:

A translation of (x -3, y + 4) means

Answers

Answer:

you subtract a constant from your x in the original function you shift the graph in the positive direction by that number of units.

And if you subtract a constant from your y in the original function you move its graph down by that number of units.

Your original function was y=4x. When you solve for the root of the denominator, you find the vertical asymptote. In this case, it is x=0, i.e. the y-axis.

And when x goes to ∞, y=4∞=0 which means your horizontal asymptote is y=0, i.e. the x-axis. Here is the graph:

Now, you can see the transformation of y=4x below. As is evident, it has shifted 4 units to the right and 3 units down with vertical asymptote at x=4 and horizontal asymptote at y=−3.

Answer link

Harold Walden

Jan 15, 2018

translation of 4 units right

translation of 3 units down

y=4x−4−3

Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

y=4x−4−3

Step-by-step explanation:

you subtract a constant from your x in the original function you shift the graph in the positive direction by that number of units.

And if you subtract a constant from your y in the original function you move its graph down by that number of units.

Your original function was y=4x. When you solve for the root of the denominator, you find the vertical asymptote. In this case, it is x=0, i.e. the y-axis.

And when x goes to ∞, y=4∞=0 which means your horizontal asymptote is y=0, i.e. the x-axis. Here is the graph:

Now, you can see the transformation of y=4x below. As is evident, it has shifted 4 units to the right and 3 units down with vertical asymptote at x=4 and horizontal asymptote at y=−3.

Answer link

Harold Walden

Jan 15, 2018

translation of 4 units right

translation of 3 units down

y=4x−4−3

Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

y=4x−4−3

translation of 4 units right

translation of 3 units down

y=4x−4−3

Explanation:

translation of 4 units right

translation of 3 units down

y=f(x)→y=f(x−4)−3

y=4x−4−3

I hope it helps :)

Answer link

A translation of (x - 3, y + 4) means that each point in the original graph is moved horizontally by 3 units to the right and vertically by 4 units upward to create a new graph.

How to interpreted the translation

For any point (x, y) on the original graph, the corresponding point (x', y') on the translated graph is obtained by adding:

3 to the x-coordinate and 4 to the y-coordinate:

x' = x - 3

y' = y + 4

This type of translation is also known as a "horizontal translation to the right by 3 units" and a "vertical translation upward by 4 units." The "x - 3" part represents the horizontal movement, and the "y + 4" part represents the vertical movement.

Learn more about translation

https://brainly.com/question/1574635

#SPJ3

HELP!! I’m in class I just need help with the fill in blanks segment help me please

Answers

Answer:

First Blank: “controlled” Second Blank: "a Different" Third Blank: "the same" Last Blank: "Height of the ramp"

Step-by-step explanation:

A circular concrete patio has a circumference of about 53 yards. The patio has a diameter of d yards. Which expression best represents the value of pi?

Answers

The expression that best represents the value of pi is 53/d.

What is the expression that represents pi?

Pi can be described as the ratio of the circumference of a circle to its diameter. The circumference of the patio is the distance round the patio. The formula that can be used to represent the circumference of the patio is πD

53 = πD

π = 53/d

To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152

For every pizza Caron's family ate, Caron ate 2 of the 8 slices. If Caron's family brought 4 pizzas, write the ratio of the total number of slices Caron ate to the total number of slices the family ate.

Answers

Answer:

[tex]\frac{8}{32}[/tex]

Step-by-step explanation:

2×4=8

Caron are a total of 8 slices.

8×4=32

There were 32 slices between all 4 pizzas.

Paint costs $3.99 per can and brushes cost $2.50 each. The sales tax rate is 5%. Which expression represents the total cost of p cans of paint and b paint brushes


Answers

Multiply the price of each by the quantity purchased, add those together, then multiy the total by the sales tax.


Total = 1.05(3.99p + 2.50b)

How many solutions does the equation 5x + 3x − 4 = 10 have? (4 points) Zero One Two Infinitely many​

Answers

It has one solution :)

Other Questions
Can someone please help me :( What were the key beliefs of the federalists and the democratic republicans then compare those beliefs. Finally, connect this to how it impacts America today. A builder drops a brick from a height of 15 m above the ground. The gravitational field strength g is 10 N/ kg. What is the speed of the brick as it hits the ground? How do you find binary? What is equation for photosynthesis How do ambition and power affect Macbeth over the course of the play?They bore himOThey entertain him.They corrupt himThey inspire him Why does science,wombs,and testosterones matter? By titration, 13.5 mL of aqueous H2SO4 neutralized 21.8 mL of 0.0419 M LiOH solution. What was the molarity of the aqueous acid solution? A box of tissues is shaped like a rectangular prism and has a volume of 288 cubic inches. The box has a height of 4 inches and a length of 12 inches.What is the width of the tissue box? _______________ is the degree to which decision-making authority is retained at higher managerial levels a. Formalization b. Unification c. Centralization d. Specialization What problem does computer science solve in dance? Solve the inequality 4i4(i+2)6(8i8) and write the solution in interval notation what motivates margot Why does the moon have craters in it? Which factor influencing flexibility is dependent upon individual behaviors? a. joint structure b. muscle and fat c. age d. gender please select the best answer from the choices provided. a b c d the question is below please help by monday mean what?please helpI will mark as brainliestplease 15 POINTS Identify the center and radius of a circle with equation (x-4)^2 + (Y+2)^2 =9A.) Center at (4,2); radius: 9B.) Center at (-4,2); radius: 9C.) Center at (4,-2); radius: 3D.) Center at (-4, 2); radius: 3 What is the function of the infinitive in this sentence?The team's goal is to win the state championship this year.A)adverbB)nounC)adjective genes, which contain trait specifying information, are located on ______.