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.

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Related Questions

Lonna's rectangle measures 2 1/4 units by 4 1/2 units. what is the area?

Answers

[tex]\mathsf\blue{♧ANSWER♧}[/tex]

Area = length × width

[tex] \mathsf \green{4 \frac{1}{2} \times 2 \frac{1}{4} }[/tex]

[tex] \orange \implies \mathsf \green{ \frac{9}{2} \times \frac{9}{4} }[/tex]

[tex] \orange \implies \mathsf \green{ \frac{81}{8} = 10.125}[/tex]

[tex] \mathsf \blue{10.125 \: square \: units}[/tex]

1 > -1/2x + 5 solve for x

Answers

Answer:

x is greater than 8

Step-by-step explanation:

The diagonals of rhombus $ABCD$ intersect at $E$ . Given that $m\angle BAC=53°$ , $DE=8$ , and $EC=6$ , find $m\angle AED$ .

Answers

Based on the definition of the diagonals of a rhombus, m∠AED = 90°.

What are the Diagonals of a Rhombus?

A rhombus has two diagonals that bisect each other at right angles, that is they are perpendicular to each other.

Angle 90 is formed at the intersection of the two diagonals of a rhombus.

In rhombus ABCD, ∠AED is formed at the intersection of the diagonals of the rhombus.

Therefore, based on the definition of the diagonals of a rhombus, m∠AED = 90°.

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HI!! Please answer this!

You install a mailbox by buriyng a post as shown. According to postal service guidelines, the bottom of the box must be at least 41 inches, but no more than 45 inches, above the road. Write two inequalities that describe the possible length x, in inches, of the post.

Answers

Answer:

41 ≤ x

x ≤ 45

Step-by-step explanation:

(3a+2b−7)−(4b−10) in standard form

Answers

Answer:  3a - 2b + 3

Step-by-step explanation:

(3a + 2b - 7) - (4b - 10)

open the bracket

3a + 2b - 7 - 4b + 10

combine like terms

3a + 2b - 4b - 7 + 10

3a - 2b + 3

Write 1.5 as an improper fraction and mixed number in simplest form.

Answers

Answer:

1 1/2 (mixed)

3/2 (improper)

Step-by-step explanation:

When the one is put to the side, you get 5/10 if you turn "0.5" into a frsaction. if you simplify 5/10, you get 1/2. Therefore, 1 1/2 is your answer. Your not done yet! After, you need to change 1 1/2 into a improper fraction which is 3/2.

good luck :)

3/2

is the answer to this question

No links no files, please help! I'll give brainest!

Answers

Answer:

A = 35 units²

Step-by-step explanation:

Calculate the area of the larger and smaller rectangle and subtract the smaller from the larger.

The formula of an area of a rectangle a x b:

A = a · b

Smaller rectangle 5 x 7:

As = 5 · 7 = 35

Larger rectangle (2 + 5) x (7 + 3) → 7 x 10:

Al = 7 · 10 = 70

The area of the shaded region:

A = Al - As

substitute:

A = 70 - 35 = 35

can someone help me with this ?

Answers

Answer:

yes I can help you with this but I don't know it

VA
P and Q are points on the line 3y - 4x = 12
a) Complete the coordinates of P and Q.
do
7
7
P (0,
1) Q(,0)
)
6
5|
b) Plot points P and Q on the graph.
Use the X tool to plot the coordinates.
41
31
c) Draw the line 3y - 4x = 12 for values
of x from -3 to 3.
21
1
2 3
-3 -2 -10
-1
NO

Answers

Answer:

Step-by-step explanation:

Ben thinks that the largest place value that 5.6 and 1.78 have in common is the tenths place. Nichole thinks that the largest place value they have in common is the ones place.

Answer the following in complete sentences:

Who is correct, Ben or Nichole?
Write how you would explain your answer to the person who answered incorrectly.

Answers

The place values in 5.6 and 1.78 are the positions of the digits in the numbers

The largest place value common in 5.6 and 1.78 is the ones placeNichole is correct

How to determine who is correct?

In a number, the non-zero digit at the left-most position is the greatest place value

This means that:

The greatest place value in 5.6 is 5 (i.e. ones place)

The greatest place value in 1.78 is 1 (i.e. ones place)

So, we can conclude that the largest place value common in 5.6 and 1.78 is the ones place

Hence, Nichole is correct

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a customer wants you to enlarge a photo to 2 3/4 its current height. the photos current height is 3 1/4 inches. what should its enlarged height be in inches?

Answers

this a a joke...

haha goodbye

Answer:6 inches

Step-by-step explanation:

Is my answer correct?

Answers

Answer:

No, x = 3 in

Step-by-step explanation:

The area of the rhombus is half the product of its diagonals

A = 1/2(2x*16) = 4816x = 48x = 48/16x = 3

Question:- Find XGiven:- A rectangle consist of 4 identical trianglediagonals of rectangle are at 90° to each other length of half of the one diagonal is 8 inlength of the half of the other diagonal is X in Area of the rectangle = 48 in²Base of triangle = 8inheight of the triangle = x in

Answer :- X = 3 in

Formula :- Area of the rectangle is equal to the sum of the area of the all four the triangle

[tex]area \: of \: rectangle \\= 4 \times area \: of \:identical \: triangle[/tex]

Explanation :-

[tex]area \: of \: rectangle =\\ 4 \times area \: of \:identical \: triangle[/tex]

[tex]48 {in}^{2} = 4 \times \frac{1}{2} \times base \times height \\ 48 {in}^{2} = 2 \times base \times height \\ \frac{48}{2} = 8 \times height \\ \frac{ \cancel{48} {}^{ \: \: 24} }{ \cancel{2}} = 8 \times height \\ \frac{24}{8} = height \\ \frac{ \cancel{24} {}^{ \: \: 3} }{ \cancel{8}} = height \: \\ height = x = 3in \: [/tex]

the bill for three bags of peanuts on two medium drinks at the movies with 11.15 dollars is a bag of peanuts cost to $35 how much was 1 drink​

Answers

Answer:

5.575

Step-by-step explanation:

divide it by 2 its easy

In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize

Answers

Answer:

Divide 10 by 25 then multiply by 4 to get 40 / 100 which gives you the percentage: 40%

help me pls i’ll reward brainliest

Answers

Answer:

D. 288π

Step-by-step explanation:

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

A = π [tex]\frac{4}{3} (6)^3[/tex]

A = π [tex]\frac{4}{3} (216)[/tex]

A = 288π

I hope this helps!

A certain type of steel is 65% iron. How many pounds of iron are in 120 pounds of this steel?

Answers

= 65% x 120 = 78 pounds of iron

Answer:

78

Step-by-step explanation:

65% of 120 = 78

Angela had 8 computer games.
She got 3 more for her birthday. But then she gave
away 4 computer games.
4
How many computer games did Angela have then?

Answers

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

we're given that Angela formerly had 8 computer games.

★ She got 3 more video games on her birthday.

★ Then she gave away 4 video games.

_____________________________

To calculate - number of computer games she's finally left with.

_____________________________

[tex]\huge\red{ Solution -}[/tex]

[tex]8 + 3 - 4 \\ \dashrightarrow \: 11 - 4 \\ \dashrightarrow \: 7[/tex]

hope helpful :D

which equation represents a line which is parallel to the line y=3/8x+7

Answers

Answer:

8x+3y=-6

Step-by-step explanation:

What is a number that is 450 rounded to the nearest 10th
What is a number that is 400when rounded to the nearest hundred

Answers

Step-by-step explanation:

e.g. 452 and 397

but also e.g. 448 and 429

help me please. I'll give brainly, thank u >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Answers

Answer:

a

Step-by-step explanation:

the solution to the system is at the point of intersection of the linear equations.

the lines intersect at (- 4, 3 )

then solution is (- 4, 3 )

What is the x to help me

Answers

Answer:

116 degrees

Step-by-step explanation:

the shape is 360 degrees in total

64+64 = 128

360-128 = 232

232/2 = 116


Problem
The garden club earned
$
15
$15dollar sign, 15 per hour by weeding neighborhood gardens for
t
tt hours. A generous donor has agreed to double their earnings.
How much did the garden club earn in all?
Write your answer as an expression.
$
$dollar sign

Answers

Good luck you got this

Three adjacent angles form a right angle . The measure of the largest angle is 5 degrees less than 3 times the measure of the smallest angle The measure of the median angle is 5 degrees more than the measure of the smallest angle . What is the measure of the largest angle ?

Answers

Answer:

Step-by-step explanation:

Does anyone know this?

Answers

Answer:

9

Step-by-step explanation:

y= mx+b

m is slope

b is y-int

Please help me someone!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Split the second term in
2x squared -5x + 3 into two terms
2x squared - 2x - 3x + 3
Factor out common terms and last two terms
2x(x-1) -3 (x-1)
Factor out the common term x - 1
ANSWER: (x-1) (2x-3)

Find the total amount
$16.000 at 14% compounded
semiannually for 2 years

Answers

Answer:

The answer would be 20.97273616 or (rounded to the nearest cent) would be $20.97

Step-by-step explanation:

The reason for this is that the formula for compounded interest is [tex]A=P(1+\frac{r}{n})^\frac{t}{n}[/tex] where A is the total amount, P is the initial amount, r is the growth factor or the percent, n is the number of compounding periods, and t is the time. You would substitute P for 16, r for 0.14 (14%), n for 2 as it compounded semiannually so it for every 6 months instead of 1 year (annual) so is compounded 2 times per year, and t for 2. And just solve the equation and you get that A is equal to 20.97273616 but since we are talking about money( only round if asked) then it would be 20.97.

Hope this helps!!!!  

three number x, y and z are in ratio 5:3:4.find the value of 2x-6y+2z​

Answers

Answer:

-0

Step-by-step explanation:

In the Screenshot...….

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

find the value of x in the triangle shown below

Answers

the answer is c (x=15)...

[tex]\large\bold\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]

[tex]\\ \large \rm{↠Given \: triangle \: is \: right \: angled \: triangle .}[/tex][tex]\\\rm{Pythagorean \: Theorem \: states \: that} \\ \\ \large \rm{↠Hypotenuse = \sqrt {Altitude^{2} + Base ^{2} } } [/tex]

[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]

Here,

Hypotenuse = AC ( x )Altitude = AB ( 12 )Base = BC ( 9 )

[tex]\blue{\rule{15mm}{3.9pt}} \red{\rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex]

[tex]\rm{↠Substituting \: values }[/tex]

[tex] \large\rm{↠AC= \sqrt {AB^{2} + BC ^{2} } } \\ \\ \large\rm{↠x = \sqrt{12 ^{2} + 9 ^{2} } } \\ \\ \large\rm{↠x = \sqrt{144 + 81} } \\ \\ \large\rm{↠x = \sqrt{225} } \\ \\ \large\rm{↠x =15 }[/tex]

Option C ✓

[tex] \underline{\rule{100mm}{3.2pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

A 16 oz box of cereal costs $2.56. How much would a 40 oz box cost?

Answers

Answer:

$6.40

Step-by-step explanation:

2.56 / 16 = 0.16
so 16 cents per oz
16 * 40 = 640

A rectangular bathroom mirror is 4
feet tall and 7 feet wide. What is its
area?
square feet

Answers

Answer:

28

Step-by-step explanation:

area = width x height

area = 7 x 4

area = 28 square feet

Given -

A rectangular bathroom mirror is 4 feet tall and 7 feet wide.

ie, length of the mirror, L = 4 feet and breadth of the mirror, B = 7 feet .

To find -

the area of the mirror

Solution -

As we know to find the area of rectangle we use the formula, Area = L × B

Hence, we will be doing the same.

Area = 4 × 7

Area = 28 square feet

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