!!40 points and Brainliest if it’s correct!!ANSWER IT ONLY IF YOU KNOW THE ANSWER. IF YOU DONT KNOW DONT ANSWER IT. Make sure you explain please!

Which of the following shows the correct first step to solve x^2 - 16x = -21 by completing the square?

A)x^2 - 16x + 64 = -21

B) x^2 - 16x + 64 = -21 + 64

C) x^2 - 16x + 16 = -21 + 16

D) x^2 - 16x + 8 = -21 + 8

Answers

Answer 1

Answer:

B) [tex]x^{2} -16x+64=-21+64[/tex]

Step-by-step explanation:

The first step to completing the square is by dividing "b" by 2, squaring that number, and adding it on both sides. In this case, 16/2 = 8 and 8 squared = 64. In answer choice B, this is correctly added to both sides of the equation.

See the full steps for completing the square below. If you're still stuck on this, I suggest watching the completing the square video on Tutors.com. It is very helpful!

Have a great day!

!!40 Points And Brainliest If Its Correct!!ANSWER IT ONLY IF YOU KNOW THE ANSWER. IF YOU DONT KNOW DONT

Related Questions

Brainliest if correct

Answers

Answer:

0.42

30.7

Step-by-step explanation:

PLSS HELPP

Write down the smallest positive integer, n, such that 294n is a perfect square.​

Answers

Step-by-step explanation:

Closest square root to 294 is 17(289) + 5

294 --> 9 is 287.

289 - 287 = 2.

2 is the biggest positive integer

X-4/4=8 Solve this variable on this equation

Answers

Answer:

x=9

Step-by-step explanation:

divide 4 by 4 to get 1

x-1=8

9-1=8

Hey there!

x - 4/4 = 8

x - 1 = 8

ADD 1 to BOTH SIDES

x - 1 + 1 = 8 + 1

CANCEL out: -1 + 1 because it give you 0

KEEP: 8 + 1 because it give you the x-value

NEW EQUATION: x = 8 + 1

SIMPLIFY IT!
x = 9


Therefore, your answer is: x = 9


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

What is one thing you would not do when finding the question in a word problem?
A. Look for a problem similar to the word problem you are trying to solve.
B. The question may not be directly stated.
C. So you can understand what the facts are in the word problem.
D. To define your strategy or game plan to solve the word problem.
ill give brainliest and 100 points

Answers

Answer:

A. Look for a problem similar to the word problem you are trying to solve is the answer.

please help convert the time

Answers

Answer:

215 minutes

Step-by-step explanation:

1 hour = 60 min

3x60=180

180+35=215

Answer:

The answer is 215 minutes

Step-by-step explanation:

1 hour is 60mintues

you have 3 hours so you would do

60+60+60=180 or 60*3=180

then take the 35 minutes you have and add those together.

180+35=215 total minutes

Hope this helps mark brainliest please! :)

What is the mean of the following data set?

3.245, 3.678, 3.3, 2.499, 2.9, 3.206, 2.081

Answers

Answer:

2.987

Step-by-step explanation:

The mean is calculated by dividing the sum of the terms by the # of terms.

For this problem, add all of the terms together:

3.245 + 3.678 + 3.3 + 2.499 + 2.9 + 3.206 + 2.081 = 20.909

Now, divide the product by the number of terms there are. There are 7 terms.

20.909 ÷ 7 = 2.987

3. What is the area of the triangle below? (1 point) O 6.0 ft2 O 8.6 ft2 O 15.0 ft? O 17.2 ft2 ​

Answers

Answer:

A ≈ 8.6 ft²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] × 7 × 3 × sin55°

  = [tex]\frac{1}{2}[/tex] × 21 × sin55°

  = 10.5 × sin55°

  ≈ 8.6 ft²( to 1 dec. place )

Which angle is supplementary to 6

Answers

Answer: Angle 3

Step-by-step explanation:

Please help me no links

Answers

Answer:

F

Step-by-step explanation:

And it is the solid line because it is less than OR equal to

Dotted line would just be less than

What is the simplest form of

2(3x-2y) + 3(x-3y)

Answers

Answer:

9x - 13y

Step-by-step explanation:

2(3x - 2y) + 3(x - 3y)

Use distributive law a(b + c) = ab + ac

⇒ 2·3x - 2·2y + 3·x - 3·3y

⇒ 6x - 4y + 3x - 9y

Gather like terms:

⇒ 6x + 3x - 4y - 9y

Combine like terms:

⇒ 9x - 13y

What is the area of this figure?

Answers

Answer:

74km

Step-by-step explanation:

7 + 7  = 14

15 + 12 = 27

5 + 8 = 13

9 + 11 = 20

14 + 27 = 41

41 + 13 = 54

54 + 20 = 74

Please I need help with these, use the picture to answer the questions below


Each dashed line segment is a(n)?


There are _____ congruent triangles in a regular hexagon.


Find the perimeter.


Find the radius of this hexagon.

Answers

Answer:

There are 6 congruent triangles in a regular hexagon.

The triangles are equilateral (all sides are equal in length).

Using side length of equilateral triangle formula:

[tex]\sf x=\sqrt{\dfrac{4}{3}h^2}[/tex]

where x is the side length and h is the height

[tex]\sf \implies x=\sqrt{\dfrac{4}{3}\cdot 6^2}[/tex]

[tex]\sf \implies x=\sqrt{48}[/tex]

[tex]\sf \implies x=4\sqrt{3} \ units[/tex]

Therefore, perimeter = 6 × 4√3 = 24√3 units

Radius = side length of triangle = 4√3 units

6 congruent traingles

Side Be a

[tex]\\ \rm\rightarrowtail h=\dfrac{\sqrt{3}}{2}a[/tex]

[tex]\\ \rm\rightarrowtail 6=\dfrac{\sqrt{3}}{2}a[/tex]

[tex]\\ \rm\rightarrowtail 12=\sqrt{3}a[/tex]

[tex]\\ \rm\rightarrowtail a=12/\sqrt{3}[/tex]

[tex]\\ \rm\rightarrowtail a=4\sqrt{3}[/tex]

Perimeter:-

4(4√3)=16√3units

4. You wake up in the morning and go to the cupboard to look for breakfast. You have a choice of
Pop-Tarts, muffins, granola bars, or cereal. To drink, you have a choice of whole mild, 2% milk,
skim milk, orange juice, apple juice and water. You mother insists that you take a multi-vitamin
with your breakfast. You can choose from Flintstones vitamins, One-a-Day vitamins, Chock's
Vitamins. How many different breakfasts made up of an entrée, drink, and vitamin could you
make?

Answers

Answer:

72 breakfasts

Step-by-step explanation:

number of entrees: 4

number of drinks: 6

number of vitamins: 3

four times six times three =

72

There are books of three different languages on the bookshelves of one section of a library. The three different languages are Chinese, Malay and Tamil. Chinese books make up
6/10
of the books. The number of Malay books is 7 times more than the number of Tamil books. If there are 56 Malay books, how many books are there altogether in this section of the library?

Answers

Answer:

There are 160 books in this section of the library

Step-by-step explanation:

to solve this problem you need to set up a ratio.

since there are 7 times Malay books the number of Tamil books, you can say that

x = # of Tamil books

7x = # of Malay books

next, you know that there are 56 Malay books so you can substitute.

7x = 56

x = 56/7

x = 8

x = # of Tamil books

8 = # of Tamil books

now you know that there are 56 Malay books and 8 Tamil books. Chinese books make up 6/10 of the library so the other languages must add up to 4/10 of the books.

56 + 8 = 4/10 of the total books

64 = 4/10 of total books

if you call the total books T you can make this equation:

64 = 4/10T

64 * 10/4 = T

160 = T

Jorge has 24 ounces of baking powder to use for baking loaves of bread. If each loaf of bread requires 1/4 of an ounce of baking powder, how many loaves of bread will Jorge be able to bake?

loaves of bread

Answers

Jorge has 24 ounces of baking power to use.
If each loaf of bread needs 1/4 which is equivalent to 0.25. He would be able to bake 96 loaves of bread


24/0.25= 96 loaves of bread

Write the expression as a product.
25-(a + 7)^2

Answers

[tex]25 - ({a + 7})^{2} = [/tex]

[tex](5 + (a + 7))(5 - (a + 7)) = [/tex]

[tex](a + 12)( - a - 2)[/tex]

Have a great day ♡

25-(a+7)^2
(5-(a+7))x(5+(a+7))
(5-a-7)x(5+a+7)
(a+12) (-2-a)

Shane found a website that gives the daily weather report from mars. for 4 days, shane recorded the daily high and low temperatures on mars.use the dropdowns to complete each statement. table of daily high and low temperatures in degrees celsius. on day 1, the low was negative eighty-two; the high was negative twenty-four. on day 2, the low was negative eighty-three; the high was negative twenty-six. on day 3, the low was negative eighty-four; the high was negative twenty-seven. on day 4, the low was negative eighty-four; the high was negative twenty-eight.a. the average temperature on day 2 was blank.b. the difference of the average high temperature and the average low temperature for all four days is blank.c. the day with the greatest average temperature was blank.

Answers

The average temperature on day 2 was -54.5.

What is Average?

This is usually calculated with the sum of the numbers divided by how many numbers are present.

The average temperature on day 2 = -83-26 /2 = -54.5The difference of the average high temperature and the average low temperature for all four days include the following:

       Day one = -82-(-24) = -58

       Day two = -83-(-26) = -57

       Day three = -84-(-27) = -57

      Day four = -84-(-28) = -56

The day with the greatest average temperature was Day one = -82-24/2 = -53.

Read more about Average here https://brainly.com/question/20118982

Answer:

Step-by-step explanation:

two terms of an arithmetic sequence are a10=16 and a35=66 find the sum of the first 75 terms

Answers

The sum of the first 75 terms of the arithmetic sequence that has 10th term as 16 and the 35th term as 66 is 5400.  

How to find the sum of terms using Arithmetic sequence formula

aₙ = a + (n - 1)d

where

a = first termd = common differencen = number of terms

Therefore, let's find a and d

a₁₀ = a + (10 - 1)d

a₃₅ = a + (35 - 1)d

Hence,

16 = a + 9d

66 = a + 34d

25d = 50

d = 50 / 25

d = 2

16 - 9(2) = a

a = 16 - 18

a  = -2

Therefore, let's find the sum of 75 terms of the arithmetic sequence

Sₙ = n / 2 (2a + (n - 1)d)

S₇₅ = 75 / 2 (2(-2) + (75 - 1)2)

S₇₅ = 37.5 (-4 + 148)

S₇₅ = 37.5(144)

S₇₅ = 5400

learn more on arithmetic sequence here: https://brainly.com/question/1687271

The amount of a radioactive substance remaining after t years is given by the function f(t) = m(0.5)", where m is the
initial mass and h is the half-life in years. Cobalt-60 has a half-life of about 5.3 years. Which equation gives the
mass of a 50 mg Cobalt-60 sample remaining after 10 years, and approximately how many milligrams remain?

Answers

Using an exponential function, it is found that the equation is:

[tex]f(1.8868) = 60(0.5)^{1.8868}[/tex]

Which means that approximately 16.22 mg remain.

What is an exponential function?

A decaying 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 decay rate, as a decimal.

In this problem, the equation is:

[tex]f(h) = m(0.5)^h[/tex]

We work with a 50 mg Cobalt-60 sample, hence m = 60, and considering a half-life of 5.3 years, in 10 years we have h = 10/5.3 = 1.8868. Hence the equation is:

[tex]f(1.8868) = 60(0.5)^{1.8868} = 16.22[/tex]

Approximately 16.22 mg remain.

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

Determine the total value for the account given the principal, rate, and time.

Compound interest account

Principal: $2000

Rate: 2%

Time: 7 years

Answers

now, this is assuming the compounding period is annually, 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 &\$2000\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &7 \end{cases} \\\\\\ A=2000\left(1+\frac{0.02}{1}\right)^{1\cdot 7}\implies A=2000(1.02)^7\implies A\approx 2297.37[/tex]

Find the value of x.
122°
63

Answers

59 degrees
180-122=58
then you add the known angles inside the triangle
63+58=121
Then all triangle angles have a sum 180
180-121=59

Graph the equation y=-X – 2 using the intercepts.

Answers

Answer:

y intercept = (0,-2)

x intercept = (-2,0)

Step-by-step explanation:

For y intercept, plug 0 for x

y = (0) - 2

y = -2

y intercept = -2

For x intercept, plug 0 for y

(0) = -x - 2

Move -2 to other side

-x = 2

Since x is negitave, make 2 negitave

x = -2

x intercept = -2

Write the first 8 triangular numbers

Answers

Answer:

1, 3, 6, 10, 15, 21, 28, 36. Notice that the first 2 terms are odd, followed by another 2 even terms, and then another 2 odd terms, before 2 even terms again.

What is the total cost of a new car that has a price of $24,000 and a sales tax rate of 9%?

Answers

Answer:

26,160.00

Step-by-step explanation:

24,000 + 9% = 26,160.00

Have a wonderful day! Dream a good dream of good people. :)

Answer:

The answer is

$26,160

Step-by-step explanation:

In this problem, it says that the total cost of the new car is the price of $24,000 plus a sales tax of 9%. For the problem, it's obvious to use addition, because when you buy something, most of the time they add taxes.

So,

24,000

+ 9%

‾‾‾‾‾‾‾‾‾‾

26,160

Therefore, 26,160 is the correct answer for your problem.

hey, i'm kinda confused on how you do this again factories 3n+12

Answers

Answer:

we should take common first

3n+12

taking 3 common

3(n+4)

The baker needs 5/8 cup of raisins to make 1 batch of cookies. How many cups of raisins does he need to make 7 batches of cookies?

Answers

Answer:

5

Step-by-step explanation:

5/8 times 7 is 35/8. Round that to the nearest integer up and you get 5.

What percent is represented by the region that is shaded?

Answers

Answer:

66 percent

Step-by-step explanation:

⅔ are shaded which is 0.6 recurring which as a percentage is 66 percent. may have to say 66.6

7
The number of chocolates, C. needed for a party is worked out using
the formula C = 6n, where n is the number of people attending,
How many chocolates are needed if there are:
b) 12 people?
a) 8 people?
C) 40 people?
d) 50 people?

Answers

Answer: (b) 72 (A) 48 (c) 240 (D) 300

Step-by-step explanation:I just multiplied

Answer:

6*12=72

6*8=48

6*40=240

6*50=200

Step-by-step explanation:

just substitute the given number for n and mulitply

5 out of 13 students will ride in a car instead of a van

Answers

Answer:

Step-by-step explanation:8

Answer:

the answer is 8 i think xddd

1. Find the Area of the Sector:


2. Find the length of the missing side:

Answers

Answer:

1. Area of sector is 14.14 sq.m

2. Length of the missing side is 10 cm

Step-by-step explanation:1.)

Using formula:

Area of sector = θ/360° × π r²

Where,

θ = 45° Radius (r) = 6m

Substituting the required values:

→ Area = 45°/360° × 22/7 × (6)²

→ Area = 0.125 × 22 × 36/7

→ Area = 2.75 × 36/7

→ Area = 99/7

→ Area = 14.14 sq.m

2.)

In given right angled traingle:

Perpendicular = 6 cmBase = 8 cmHypotenuse = ?

Using Pythagoras theorem,

(H)² = (B)² + (P)²

where,

H is hypotenuseB is Base P is perpendicular

Substituting the required values:

→ (Hypotenuse)² = (8)² + (6)²

→ (Hypotenuse)² = 64 + 36

→ (Hypotenuse)² = 100

→ Hypotenuse = √100

→ Hypotenuse = 10 cm

Hence,

Hypotenuse of Traingle is 10 cm
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