−2x=x^2 minus 6,
Rewrite the equation by completing the square. please answer

Answers

Answer 1

Answer:

[tex](x+1)^{2} -5[/tex]

Step-by-step explanation:

[tex]-2x=x^{2} -6 \\x^{2} +2x-6\\(\frac{b}{2}) ^{2} =(\frac{2}{2}) ^{2} =1^{2} =1\\so, (x^{2} +2x+1)-6+1\\ x^{2} +2x+1=(x+1)^{2} \\-6+1=5\\(x+1)^{2} -5[/tex]

Sorry it took so long


Related Questions

what is the division expression for 6/10

Answers

6 divided by 10
the fraction bar means divide

6/10 is 6 divided by 10 the bar is the division sign

Step-by-step explanation:

it can be broken down further

[tex] \frac{6}{10} = \frac{3}{5} [/tex]

I just need an explanation for both of these! Help would be greatly appreciated, thanks. :))

Answers

Answer:

1. Well, to cross multiply them you multiply the numerator in the first fraction times the denominator in the second fraction, then you write that number down. ... The reason we cross multiply fractions is to compare them. Cross multiplying fractions tells us if two fractions are equal or which one is greater.

2. Cross multiplying fractions to find a missing numerator or denominator for equivalent fractions works because it is a shortcut for rearranging to isolate the variable.

Step-by-step explanation:

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The bronx zoo opened at 9.00 am. In the first hour 280 people purchased admission tickets. In the second hour 25 percent more people purchased admission people than the first hour . Each ticket cost 16.25. What was the total amount of money paid for all the tickets purchased in the first two hours

Answers

Answer:

Total amount paid for tickets in the two hours =  $10,237.50

Step-by-step explanation:

Step 1

Ist Hour, 280 tickets were sold at the cost of $16.25

Amount of money made in the first hour= Number of people who purchased ticket  x price of a ticket

=280 x 16.25 =$4,550

2nd Hour, 25 % more people purchased ,

which means the total number of people who purchased tickets =

1.25 x 280= 350

Amount of money made in second hour =  Number of people who purchased ticket  x price of a ticket 350 x 16.25 =$5,687.5

Step 2

Total amount paid for tickets in the two hours =  Amount of money made in the first hour +Amount of money made in second hour

=$4,550+ $5,687.5

=$10,237.50

Write an equation that can be used to answer the question. Then solve. Round to the nearest tenth if necessary. ​

Answers

Answer:

5^2+h^2=12^2, the answer would be ~10.97 ft.

Step-by-step explanation:

I would use the Pythagorean theorem to solve this problem. Put in the things that you know, so in this image we are given one of the legs and the hypotenuse of the triangle.

Pythagorean theorem is :

a^2+b^2=c^2 with a and b being the legs and c being the hypotenuse.

Once you plug in the hypotenuse and one of the legs, solve for the other leg by subtracting a^2 (5^2) from 12^2 (c^2), which will give you 119, and then take the square root of 119 and you will get your answer.

Find the perimeter and area of a rectangle of cardboard measuring 18.7 cm by 18.5 cm

Answers

Answer:

74.4cm

Step-by-step explanation:

Perimeter is L + L + W + W

or 2L +2W

so 2(18.7) + 2(18.5) = 74.4 cm

Type the correct answer in the box.
The product of (3 - 4) and (blank)
is 25.

Answers

Answer:

-25

Step-by-step explanation:

Since product mean multiply, we multiply (3-4) and (blank), which we'll call "n".

(3-4)n = 25

subtract in parentheses

(-1)n = 25

remove parentheses

-1n = 25

swap signs

n = -25

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Nora works at a retail store. She earns a commission of $5.50 on each item she sells. If she sells 17 items, how much does she earn from commissions?
If Nora sells 17 items, she earns $
from commissions.

Answers

Answer:

$93.50

Step-by-step explanation:

$5.50 x 17 = $93.50

Hope that helps!

Answer:

$93.50

Step-by-step explanation:

Every autumn, the North American Monarch
butterfly migrates up to 3,000 miles to California and Mexico where it hibernates
until early spring. The butterfly travels on average 50 miles per day.

Answers

Part A

The equation is d = 50t

This is because the slope of 50 represents how many miles per day the butterflies cover (on average). The y intercept is 0 to indicate that 0 miles have been traveled initially.

You can think of this as the equation y = 50x

If t = 1, then d = 50t = 50*1 = 50 miles have been covered

If t = 2, then d = 50t = 50*2 = 100 miles have been covered

And so on.

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

Part B

You'll have these values in the bottom row (in the order presented): 50, 100, 150, 200, 250

You can plug in the values t = 1, t = 2, t = 3, t = 4 and t = 5 into d = 50t to find those answers in bold.

Or you could add on 50 each time to generate each new value. We start at 50 since t = 1 corresponds to d = 50.

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

Part C

You can keep the pattern of 50,100,150, ... going until you reach 2500. Then note the t value that pairs with d = 2500

In my opinion, that's the slower method.

The quicker method is to plug d = 2500 into the equation for part A, and then solve for t.

d = 50t

2500 = 50t

50t = 2500

50t/50 = 2500/50 ....... divide both sides by 50

t = 50

It will take 50 days for the average distance traveled to be 2500 miles.

what are the first five terms the sequence: an = 3n + 7​

Answers

Answer:

Step-by-step explanation:

we assume that we starts with n=1

a(1)=3*1+7=10

a(2)=6+7=13

a(3)=9+7=16

a(4) will be 19, a(5)=22 and so on

Jon is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when is falls back to a height of 4 feet. The height of the ball is given by h(t)=5+25t-16t^2, where t is the time in seconds.

a) How much time will pass before Jon hits the ball? (round to the nearest tenth of a second)
b) What is the time in which the maximum height the ball attains? ( to the nearest hundredth of a second)

Answers

Answer: A= 1.60 sec

And I am not sure if B is correct, but I got 14.77 ft.

Step-by-step explanation:

t = 1.602 seconds will pass before Jon hits the ball.At t = 0.79 seconds the ball attains maximum height.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Jon who is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when is falls back to a height of 4 feet. The height of the ball is given by -

h(t) = 5 + 25t - 16t²

where [t] is the time in seconds.

[A] -

At h = 4ft, we can write -

4 = 5 + 25t - 16t²

- 16t² + 25t + 1 = 0

On solving, we get -

t = 1.602 seconds

[B] -

We have -

h(t) = 5 + 25t - 16t²

For maximum height -

dh/dt = 0

d/dt(5 + 25t - 16t²) = 0

0 + 25 - 32t = 0

32t = 25

t = 25/32

t = 0.79 seconds

Therefore -

t = 1.602 seconds will pass before Jon hits the ball.At t = 0.79 seconds the ball attains maximum height.

To solve more questions on Equation Modelling, visit the link below -

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hELP I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER

Answers

Answer:

It’s the number hairline

Step-by-step explanation:

Hairline cut it straight

Answer:

16x16x16x16

Step-by-step explanation:

HELP I’LL GIVE BRAINIEST

Answers

3 , 2 , 1 ,4
Explaining:

Answer:

1 = Definition of a parallelogram

2 = Alternate interior angle theorem

3 = Angle addition postulate

4 = Substitution

If f (x) - 3(x + 5) +-, what is f(a + 2)?
4.
A. 3(a + 7) +
4+2
4
B. 3(a + 2) +- + 2
C. 30 (4) +5) +-
ja) + 2

Answers

Answer:

A

Step-by-step explanation:

Just plug in [tex]x=a+2[/tex].

A cyclist rides a distance of 36 km at an average speed of 16 km/h.

Calculate the time taken to complete this ride. Give your answer in hours and minutes.

Please Help!

Answers

Answer:

2.25 hours, or 2 hours and 15 minutes.

Step-by-step explanation:

All we do is 36/16 which is 2.25. 0.25 or 1/4 of an hour is 15 minutes. So, your answer is 2 hours and 15 minutes.

It takes 2 hour and 12 minutes for the cyclist to complete the ride of 36km distance.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Total distance covered by cyclist= 36km

Average speed of the cyclist = 16km/hr

Therefore, using unitary method:

                16 km distance takes time = 1hr

Therefore, 1 km distance takes time =(1/16)hr

Therefore, 36 km distance takes time = (1/16)×36 hr

                                                     =(1/4)×9 hr

                                                     =9/4 hr

                                                     =2.25 hr

                                                      =(2+0.25)hr

                                                      =2hr+0.25hr

                                                      =2hr+0.25×60minutes

                                                      =2hr and 15 minutes.

Hence, it takes 2hr and 15 minutes for the cyclist to complete 36 km rides.

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can someone plz help

Answers

Answer:

16

Step-by-step explanation:

Answer:

Your Answer is 16 bro Okk and good morning and please mark me as brainliest

find the total surface area of this cupoid 6cm 2cm 5cm

Answers

Answer: 60

Step-by-step explanation:

This is done by multiplying length x width x height (6x2x5)

A triangle has a base of 10 centimeters and a height of 12 centimeters. A rectangle has a base of 10 centimeters and a height of 12 centimeters.
What are the areas of the figures?



The area of the triangle is
___ cm2.


The area of the rectangle is
___ cm2.

Answers

The area of the triangle is

60 cm2.

The area of the rectangle is

240 cm2.

In a two-dimensional plane, an area of triangle is equal to the sum of the areas of its three sides.

To calculate a rectangle's area, count the number of square units that fit within the rectangle's perimeter.

Area of triangle = h x b / 2

Given

h = 12

b =10

hence

A= h x b / 2

  = 12 x 10 / 2

  = 120 / 2

  = 60 cm2

Area of rectangle = l x b

Given

l = 12

b = 10

hence

area of rectangle  = l x b

                          = 12 x 10

                         = 120 cm2

Learn more about the area of rectangles and triangles - https://brainly.com/question/25292087

the answer is 60 and 120

Which number sentence is true?
8.5 <2.97
B
8.5 > 2.97
8.5 = 2.97
Please help

Answers

I'm pretty sure it's 8.5 > 2.97

Find the sine, cosine, and tangent of angle A. (fraction as in simplest form please.)

Answers

Answer:

SinA=3/5

CosA=4/5

TanA=3/4

Step-by-step explanation:

first we have to find what side length bc is using the Pythagorean triple formula a^2+b^2=c^2 or c^2-b^2=a^2

20^2-16^2=144 the square root of 144 is 12 so side length bc=12

so sin is opposite/hypotenuse

the opposite of angle a is 12 and the hypotenuse is 20 so sinA is 12/20 or 3/5

cos is adjacent/hypotenuse

the adjacent of angle a is 16 and the hypotenuse is 20 so cosA is 16/20 or 4/5

tan is the opposite/adjacent

the opposite of angle a is 12 and the adjacent is 16 so tanA is 12/16 or 3/4

If SU and VX are parallel lines and mUTR = 115°, what is mSTW?

Answers

Answer:

m STW = 115°

Step-by-step explanation:

here, SU || VX

m STW = m UTR

( vertical opposite angles )

Hence, STW = 115°

Please help!! Giving brainliest and extra points!! (Click on photo)

Answers

Answer:

14

Step-by-step explanation:

What single transformation was applied to triangle A to get triangle B?

Answers

Answer:

should be reflection

Step-by-step explanation:

bc a translation would just move it and rotation and dilation wouldn't work either

The single transformation was applied to triangle A to get triangle B is a reflection, in which A is reflected around the y-axis.

What is reflection?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.

Given:

The triangles A and B are shown in the given figure,

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original,

Rotation is the process of going around a center.

A shape is translated when it is moved up, down, left, or right without turning. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes.

Thus, triangle A is reflected as B.

To know more about reflection:

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c) If a pen and a pencil cost £1.10 for both and the pen
costs £1 more than the pencil, what is the cost of the pen?

Answers

Answer:

$3.10

Step-by-step explanation:

how do you graph 7x + 2y = -8

Answers

Answer:You set it up as y=mx+b

Step-by-step explanation:

(6,-5) (7,-3) (8,-1) (9,1) is this a function?

Answers

Answer:

Yes

Step-by-step explanation:

To find out if it's a function, check if any of the y values repeat. If they don't, it's a function. :)

A. For sequence A, describe a way to get each new term.
B. Write an explicit rule for sequence A. Include tn and n inside the rule correctly.
C.For sequence B describe a way to get each new term.
D. Write an explicit rule for sequence B. Include tn and n-1 inside the rule correctly.
E. Use the rule you created on B and D if these sequences continue, when which is greater, A(9) or B(9)? Explain or show how you know.

Answers

Answer:

HELP ME & ILL HELP YOUUUUU

MHA SHIPS ON MY LIST:

Deku x Uraraka (A lot of you gonna hate me for this but can't you see-)


Momo x Todoroki (My friend told me to put this)


Mina x Kirishma (Ship!!)


Denki and Jirou ( This was told to me but I still ship!!)

Bakugo x Camie (...............)
TELL ME MORE SHIPS COME ON.

Answers

Answer:

Deku x Todoroki

Step-by-step explanation:

um... dont hate on me but...

i ship BkDk (Bakugou x Deku) TwT

Which equation can be used to solve for x in the parallelogram below?


A) 3x-12=6x+12

B) (7x-8)+(6x+12)=90

C) 3x-12=2x+8

D) (7x-8)+(6x+12)=180

Answers

Answer:

B. (3x - 12)° = (2x + 8)°

Step-by-step explanation:

This equation can be used to solve x.

3x - 12 = 2x + 8

3x - 2x = 12 + 8

x = 20°

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

Verification:

3(20) - 12 = 2(20) + 8

60 - 12 = 40 + 8

48° = 48°

A right triangle has legs with lengths of 6in and 8in. What is the length of the hypotenuse

Answers

You require the Pythagorean Theorem: in a right triangle the sum of the squares of the legs equals the square of the hypotenuse.
In this case 6^2 + 8^2 = 36 + 64 = 100 = 10^2, i.e. the hypotenuse is 10.
Please note that a so-called 3-4-5 right triangle is the smallest right triangle which has integer sides...and of course, a 6-8-10 triangle like this one is simply a magnification of the smaller, i.e. a so-called similar triangle.

Answer: 10

Step-by-step explanation:

the formula is √a^2+b^2=c^2

so your equation should look like this √6^2+8^2=c^2

6·6=36

8·8=64

√36+64

√100=10

the hypotenuse or c^2 is 10

pleaseee help ill mark brainliest i swear please help

Answers

Answer:

45

Step-by-step explanation:

each bracelet takes 15 min

15*3=45

1 hour = 60 minutes..

In 1 hour she makes 4

In 2 hours (120 minutes) she makes 8

So in each hour she makes 4 ( 8 /2 = 4)

So In 3 hours she will make 3 x 4 = 12 bracelets

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