Which of the following correctly completes the square for: x^2+2x=48

A. (x+2)^2=52
B. (x+1)^2=49
C. (x+2)^2=47
D. (X-1)^2=26

Answers

Answer 1

Answer:

(x+1)²= 49, the answer is B

Step-by-step explanation:

x² + 2x = 48

x² + 2x + (2/2)² -  (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² -  (2/2)²]

(x+1)²= 49, the answer is B

Answer 2

Answer:

hey I'm pretty sure it's B. (x+2)²=49

Step-by-step explanation:

x²+2x+(2\2)²=48 + (2\2)²

(x+1)²=49

2 over 2 by the power of 2 = 1


Related Questions

The length of adult King Cobra snakes is normally distributed with µ = 18 feet and σ = 2.1 feet. What is the probability that a randomly selected adult King Cobra snake be over 15.9 feet long? 85.54% 79.08% 15.87% 84.13%

Answers

Answer:

the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%

Step-by-step explanation:

The computation of the probability is shown below":

P(x>15.9) is

[tex]= P (\frac{x - \mu}{\sigma} > \frac{15.9 - 18}{2.1} )\\\\= P (z>-1)\\\\= 0.8413\\\\= 84.13\%[/tex]

Hence, the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%

We simply applied the above formula

Answer:

the probability that a randomly selected adult King Cobra snake be over 15.9 feet long which is 84.13%

Step-by-Step Explanation:

P(X 15.9). Solve for the z-score and then match it with the probability from the area under the normal curve table. Once that is found, take the complement or use symmetry to solve

Note:

Hope this helps you in the future.

Learn More:

https://brainly.com/question/6305087?referrer=searchResults

which one is bigger 6000 grams or 5000 kg

Answers

Answer:

[tex]5000kg \: is \: greater.[/tex]

[tex]as \: we \: know \: that \: 1000 \: gramm \: make \: 1 \: kg[/tex]

[tex]so \: 6000 \: g \: make \: 6 \: kg.[/tex]

[tex]and \: 5000 \: kg \: is \: much \: greater \: than \: 6 \: kg.[/tex]

Suppose John is a 14-year-old boy who weighs 45 kg (100 lbs). John is at the 25thpercentile of weight for his age. Twenty-five percent of 14-year-old boys weigh the same or less than John and 75% weigh more than John. If John’s height is 170 cm (almost 5’7”), he is at the 75thpercentile of his height for age. Based on the informationgiven about John, how would you describe John’s general appearance?

Answers

I’d say John is a pretty skinny boy who doesn’t have too much height on him. he doesn’t appear to have much muscle on him or excess weight.

$1,000 at 7.5% for 30 months

Answers

Step-by-step explanation:

principal=1000

rate=7.5

time=30 moths

interest= principal multiplied to rate multiplied to time by 100

which give 100multiplied to 7.t multiplied to 30 by 10p

which gives 22500by 100

which gives 225

amount= interest plus principal

= 225+1000

=1225

help please!!
[tex]\text{solve the following equation : }[/tex]
[tex] \sf\tan^{2}(\theta)-(1+\sqrt{3})\tan(\theta)+\sqrt{3} = 0[/tex]

Answers

tan²( θ ) - (1 + √3) tan (θ) + √3 = 0

tan²( θ ) - (tan (θ) + √3 tan (θ)) + √3 = 0

tan²( θ ) - tan (θ) - √3 tan (θ) + √3 = 0

tan( θ ) ( tan (θ) - 1) - √3 ( tan (θ) - 1 ) = 0

( tan( θ ) - 1 ) ( tan( θ ) - √3 ) = 0


tan( θ ) - 1 = 0

θ = π/₄

tan( θ ) - √3 = 0


θ = π/₃


so θ = π/₄ and θ = π/₃

Answer:

[tex] \huge \boxed{ \red{ \boxed{\begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} }}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:trigonometryPEMDASlet's solve:

distribute tan(θ):

=>tan²(θ)-(tan(θ)+√3tan(θ))+√3=0

remove parentheses:

=>tan²(θ)-tan(θ)-√3tan(θ)+√3=0

so this equation is now in standard form i.e ax²+bx+c=0

we can solve by factoring as we solve quadratic equation

factor out tanθ:

=>tan(θ)(tan(θ)-1)-√3tan(θ)+√3=0

factor out -√3:

=>tan(θ)(tan(θ)-1)-√3(tan(θ)-1)=0

group:

=>(tan(θ)-√3)(tan(θ)-1)=0

separate it as two different equation:

[tex] \implies \begin{cases} \tan( \theta) - 1 = 0 \\ \tan( \theta) - \sqrt{3} = 0 \end{cases}[/tex]

add 1 and √3 to both sides to first and second equation respectively:

[tex] \implies \begin{cases} \tan( \theta) - 1 + 1 = 0 + 1 \\ \tan( \theta) - \sqrt{3} + \sqrt{3} = 0 + \sqrt{3} \end{cases} [/tex]

[tex] \implies \begin{cases} \tan( \theta) = 1 \\ \tan( \theta) = \sqrt{3} \end{cases} [/tex]

[tex] \therefore \begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} [/tex]

Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show
your work.

Answers

Answer:

A= 94°, B = 102°, C = 86°, D = 78°

Step-by-step explanation:

ABCD is a cyclic quadrilateral

It has the property that opposite angles are supplementary: A with C and B with D.

Solve following for x:

x + 6 + x - 2 = 180°2x + 4 = 180°2x = 176°x = 88°

The angles are:

A = 88° + 6° = 94°C = 180° - 94° = 86°D = 88° - 10° = 78°B = 180° - 78° = 102°

Using diagonals from a common vertex, how many triangles could be formed from a
24-gon?

Answers

Answer:

22 triangles in a 24-gon.

Step-by-step explanation:

24−2=22

There are 22 triangles in a 24-gon.

Answer:

13 triangles in a 15-gon

Step-by-step explanation:

15-2=13

At practice, Diego does twice as many push-ups as Noah, and also 40 jumping
jacks. He does
62 exercises in total. The equation 2x + 40 =62 describes this situation. What does
the
variable represent?

Answers

Answer:

1980

Step-by-step explanation:

5x4*x9=1980

Hope this helps :)

Brainliest?

。◕‿‿◕。 ITS PICKACHU  DAY

find the median of data set: 23, 31, 32, 34, 39, 38, 38, 34, 38

Answers

Answer: 34

Hope this helps :)

Evaluate each expression
7 + 9=
43 - 5=

Answers

The answer you just add and subtract
7+9=16
43-5=38
7+9= 16
43-5= 38
Explained: it’s pretty easy lol

8. Is this number correctly written in scientific notation? 6.875 x 10 yes O no​

Answers

Answer:

No

Step-by-step explanation:

I believe you have to approximate or round it off.

that will be 6.9.

Leo has a lock box with a volume of 312 cubic inches. The box is 4 inches high and 13 inches long. What is the width of the box?

Answers

Answer:

6in

Step-by-step explanation:

Given data

Volume of the lockbox= 312 cubic inches

Height= 4in

Length= 13in

Width= ???

The expression for the volume of box is

V= L*W*H

substitute

312=13*W*4

312=52W

W= 312/52

W=6 in

Hence the width is 6in

A frying pan has a radius of 14 cm. What is the circumference of the pan?

Answers

88cm

calculation:
circumference = 2 x pi x radius
2 x pi x 14 = 87.9cm
if you round this you get 88cm circumference

Jack bought 4 hot dogs and 3 sodas for $15.50. Mack bought 3 hot dogs and 2 sodas for $11.25. Find the cost of each.

Answers

Answer:

Hot dogs: $2.75

Sodas: $1.5

Step-by-step explanation:

Hot dogs = x

Sodas = y

4x + 3y = 15.5

3x + 2y = 11.25

First find the value of the hot dogs by canceling out y:

2(4x + 3y) = 2(15.5)

3(3x + 2y) = 3(11.25)

= 8x + 6y = 31

9x + 6y = 33.75

x = $2.75 (Minus bottom equation from the top to isolate x)

Plug in for x to get y:

3(2.75) + 2y = 11.25

2y = 11.25 - 8.25 (Isolate the y)

2y = 3

y = 3/2, or $1.5

Some students want to order shirts with their school logo, The Tees company charges $9.65 per shirt
plus a setup fee of $43. The Shirtz company charges $8.40 per shirt plus a $58 fee. Which company
would you recommend to the students?

Answers

This is the equations,
Tee Company: 9.65x + 43
Shirtz Company: 8.40x + 58
If you were to buy one shirt from each company these would be the prices,
Tee Company: $52.65
Shirtz Company: $66.40
I would recommend the Tee Company since the price per shirt is cheaper.

URGET: Inscribed Angles
Find the measure of angle R.

Answers

Answer:

∠ R = 50°

Step-by-step explanation:

The inscribed angle R is half the measure of its intercepted arc QS

QS = 360° - (120 + 140)° = 360° - 260° = 100° , then

∠ R = 0.5 × 100° = 50°

please help me!!!!!!!!!

Answers

Answer:

120

Step-by-step explanation:

TQR = 180 - (35+25) = 120

TQP= 180-120=60

TNP=TQP =60

MNT= 180-60=120

The measure of EFH is twice the measure of GFH. What is the
degree measure of GFH?
I NEED HELP ASAP

Answers

Answer:

30° =  m∠GFH

Step-by-step explanation:

Since ∠EFH and ∠GFH are complementary, the sum of their measures i 90.

Let x = m∠GFH

2x = m∠EFH

m∠GFH + m∠EFH = 90

x + 2x = 90

3x = 90

x = 30° =  m∠GFH

Answer: 30

Step-by-step explanation: qu i z i zz

What is the exact circumference of the circle?

Answers

Answer:

circumference = 22.2144 or 5π√2

Step-by-step explanation:

the diameter of the circle would be equal to the diagonal of the square.

Using the Pythagorean theorem:

D² = 5² + 5²

D² = 50

D = 7.0711 or 5√2

circumference = πD = 5π√2 = 22.2144

Answer:

diagonal or diameter =√(5²+5²)=5√2unit

therefore radius =5/2√2unit

circumference of circle =2πr=2×π×5/2×√2=5π√2unit

How does Ray Bradbury's description of Margot's appearance in "All Summer in a Day" also give insight into her feelings?

Answers

Answer:

The description of Margot as a frail girl who had lost her vibrancy shows that she was in eager anticipation of the rain.

Step-by-step explanation:

The short story, "All Summer in a Day", tells of how a girl named Margot always stood differently from her classmates because she eagerly anticipated a time when the sun will come out as the scientists projected. It had been raining in this planet, Venus for seven years non-stop.

Margot who came from planet earth some five years ago could still clearly recall how the sun looked like and despite her description of it, the children still doubted her. On the day the sun finally came, the children locked Margot in a closet and she was unable to see the sun.

another question of the homework

Answers

Answer:

Jessica's trains travels at a faster speed

Step-by-step explanation:

From the question,

Using the graph,

The total distance distance traveled by Khalid after 2 hours is

d = 280 mi.

S = d/t....................... Equation 1

Where S = Khalid's speed, d = Khalid's distance, t = time.

S = 280/2

S = 140 mph.

From the euqation,

The total distance traveled by Jessica after 2 hours is

y = 150×2

y = 300 mi.

Also Using

S' = d'/t

Where S' = Jessica's speed, d' = Jessica's distance

S' = 300/2

S' = 150 mph.

From the above, Jessica's trains travels at a faster speed

what does it mean to evaluate an expression in 5th grade

Answers

Answer:

Usually it means to solve it. Sometimes they give you values to substitute in for variables (letters) in the math sentence/equation/expression.

Does that make sense?

Step-by-step explanation:

The Clayton family and the Mercado family are seeing a movie together in the theater. At the concession stand, Mr. Clayton paid $20 for 4 large popcorns and 2 large drinks that his family will share. Mrs. Mercado bought 4 large popcorns and 4 large drinks and paid $28. How much does each item (popcorn & drink) cost?

Answers

Answer:

Popcorn costs 4. Drink costs 2.

Step-by-step explanation:

4x4=16

2x2=4

16+4=20

The table below shows the account value of each of Dmitri's three bank accounts
Dank account
Account value
Savings
8573.73
Retirement
8204.43
Checking
-$435.24
Help Dmitri sort his accounts from lowest to highest absolute value of account value. Click and drag to sort the
tiles
Checking
Retirement
Savings

Answers

Answer:

there could be more than one answer...

Step-by-step explanation:

Answer:

Retirement Checking Savings

Step-by-step explanation:

in that order(khan said so)

Marlon and Brent are each measrueing one of their shoes. Their shoes measure 15 inches in all. Marlon's shoe is 1 inch longer than Brent's shoe. How long is Brent's shoe?

Answers

Answer:

16

Step-by-step explanation:

15 plus 1 equals 16 I hope this helps

[tex]y= 82(1.045)[/tex]What is the rate of growth Michael expects each week after launching the website?

y=82(1.045)

Answers

Answer: pls help with the answer this is hard

Step-by-step explanation: i really need help!!!

This is a similar triangle please find the missing length. (?)

Answers

Answer:

33

Step-by-step explanation:

In ΔPQR,

length of side=

77= 7×11

84= 12

Similarly, In ΔFGH

length=

36=3×12

so, the other side= 3×11= 33

Answer:

33

Step-by-step explanation:

[tex]\frac{HG}{FG} =\frac{RQ}{PQ}[/tex], insert given values

[tex]\frac{?}{36}=\frac{77}{84}[/tex], cross multiply

84*?=36*77

84*?=2772, divide both sides by 84 to get ? by itself

?=33

if a sector of a circle has a radius of 15m and an arc length of 25 meters, find the central
angle in degrees

Answers

Answer:

25

Step-by-step explanation:

Examine the following sequence 1, 4, 9, 16, 25…. Why is 36 the next number in the sequence? Because the pattern is:
a.
Add the next even number
c.
Cube the number of the term, n
b.
Square the number of the term, n
d.
Add 2 + the number of the term, n



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:36

Step-by-step explanation:it just is

The graph below shows a company's profit f(x), in dollars, depending on the price of goods x. in dollars, being sold by the
company:


Part A: What do the x-intercepts and maximum value of the graph represent?

Part B: What are the intervals
where the function is increasing and decreasing, and what do they represent about the sale and
profit?

Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?

Answers

Answer:

What do the x-intercepts and maximum value of the graph represent? The x-intercepts represent the points at the ground, so with that you have the width of the tunnel at ground level is 120 ft - 0 ft = 120

Step-by-step explanation:

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