M^2 - 4m +8 = -21
Solve the quadratic equation by completing the square

Answers

Answer 1

Answer:

m^2-4m=-29

m^2-4m+4=-29+4

(m-2)^2=-25

m=2+-5i


Related Questions

Item 14
Find the missing dimension. Use the scale factor 1 : 12.

Answers

Answer:

3.84m

Step-by-step explanation:

If the scale for this Water tower is 1 : 12 then this means that for every 1cm of the model, the actual water tower has 12cm. Therefore, in order to find the actual depth of the water tower we first need to multiply the depth of the model by 12.

32cm * 12 = 384cm

1 cm is equal to 0.01 m , therefore we now have to multiply the depth of the actual water tower which is in cm by 0.01 to get the actual depth in meters

384 * 0.01 = 3.84m

find the diffrence of the following sequence : -7,-9,-11

Answers

Answer:

-2

Step-by-step explanation:

you're subtracting 2 from each to get the next number, so the answer is -2

hope this helps, have a wonderful day :))

Given that Triangle KLM is congruent to Triangle RQP, what is the measurement of Angle L? Write only the numerical answer. You do not have to include degrees.

Answers

Answer:

Did you ever get the answer?

Step-by-step explanation:

Can I get help with this

Answers

Answer:

the red one represents nature trails in Panama city. because by plugging in a number into the equation say for 1 in x = y being 3 which corresponds to be linear.

Jacksonville will have more nature trails sine the formula is growing exponentially rather than Panama linear growth.

What is the smallest perfect square ​

Answers

Answer:

Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.

Step-by-step explanation:

Answer:

Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.

Step-by-step explanation:

Help plssssss! Thnx!

Answers

Answer:

$55.48

Step-by-step explanation:

nice to help you.hope it helps

Marc is filling 1-cup containers with juice.
He has 5 gallons of juice. How many 1-cup
containers can he fill? (1 gallon = 16 cups)

Answers

Answer:

80

Step-by-step explanation:

5*16 = 80

Hence, the Marc has the number of cups are [tex]80[/tex].

What is the equation?

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

The most basic and common algebraic equations in math consist of one or more variables.

Here given that,

Marc is filling one-cup containers with juice. He has five gallons of juice.

As we know,

[tex]1gallon=16cups[/tex]

So, it would be [tex]5(16)=80[/tex].

Hence, the Marc has the number of cups are [tex]80[/tex].

To know more about the equation

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A farmer has 500 acres of arable land on which he wants to plant potatoes and corn. The farmer has $40,000 available for planting and $30,000 for fertilizer. Planting 1 acre of potatoes costs $90, and planting 1 acre of corn costs $50. Fertilizer costs $30 for 1 acre of potatoes and $80 for 1 acre of corn. (a) Find a system of inequalities that describes the number of acres of each crop that the farmer can plant with the available resources. (Let x and y be the numbers of acres of potatoes and corn, respectively.)

Answers

Answer:

90x+ 50 y ≤  $40,000------  A

30x+ 80y ≤ $ 30,000-------  B

x + y ≤ 500 --- C

Step-by-step explanation:

Let x and y be the numbers of acres of potatoes and corn, respectively.

Then according to the given conditions

90x+ 50 y ≤  $40,000------  A

30x+ 80y ≤ $ 30,000-------  B

x + y ≤ 500 --- C

where both x and y equal to or greater than zero and cannot take a value less than zero.

x + y ≤ 500 --- C

gives us an idea that the total arable land is less or equal to  500 acres.

90x+ 50 y ≤  $40,000------  A

tells us that the total cost of planting potatoes and corn is less or equal to $ 40,000

30x+ 80y ≤ $ 30,000-------  B

tells us that the total cost of fertilizers for  potatoes and corn is less or equal to $ 30,000

In each of these x and y cannot have negative values or less than zero.

PLSSS I NEED THE HELP I HAVE SOME MANY QUESTIONS!
A cylindrical waste can has a volume of 197.92 cubic inches and its base has a radius of 3 inches. Which measurement is closest to the height of the waste can

Answers

Answer:

7inches

Step-by-step explanation:

Volume of a cylinder = πr²h

r is the radius of the cylinder

h is the height of the cylinder

Given

r = 3inches

Volume = 197.92 cubic inches

Substitute

197.92 = 3.14(3)²*h

197.92 = 28.26h

28.26h = 197.92

h = 197.92/28.26

h = 7.003in

Hence the measurement that is closest to the height of the waste can is 7inches

Please help!!!!!!!!!

Answers

The correct answer is letter C

Find the value of x

Answers

Answer:

1

Step-by-step explanation:

As per circle theorem rule, ∠GDE is twice than ∠GFE

10x +94 = 2 × (x+51)

10x + 94 = 2x + 102

8x = 8

x = 1

∠GDE= 10x+94° = 104°

∠GFE= x + 51° = 52°

help put the work plzzzz

Answers

$‭4,774.64‬
Step-by-step explanation:
The amount after 10 years assuming 7.5% compound interest is:
= Amount * ( 1 + rate) ^ no. of years
= 4,500 * ( 1 + 7.5%)¹⁰
= $9,274.64
The accumulated interest is:
= Amount after 10 years - Present amount
= 9,274.64 - 4,500
= $‭4,774.64

Whoever answers correctly gets brainliest.

Answers

Answer:

C. r+r+r+t+t = 3r + 2t

Step-by-step explanation:

because we cant add numbers with different variables

Nov. 1 Loaned $52,200 cash to C. Bohr on a 12-month, 7% note. Dec. 11 Sold goods to K. R. Pine, Inc., receiving a $1,800, 90-day, 8% note. Dec. 16 Received a $4,800, 180-day, 10% note to settle an open account from A. Murdock. Dec. 31 Accrued interest revenue on all notes receivable.

Answers

Answer:

Dr Notes Receivable $52,200

Cr Cash $52,200

Dec. 11

Dr Notes Receivable $1,800

Cr Cash $1,800

Dec. 16

Dr Notes Receivable $4,800

Cr Accounts Receivable $4,800

Dec. 31

Dr Interest Receivable $637

Cr Interest Revenue $637

Step-by-step explanation:

Preparation of the journal entries

Nov 1

Dr Notes Receivable $52,200

Cr Cash $52,200

Dec. 11

Dr Notes Receivable $1,800

Cr Cash $1,800

Dec. 16

Dr Notes Receivable $4,800

Cr Accounts Receivable $4,800

Dec. 31

Dr Interest Receivable $637

Cr Interest Revenue $637

($609+$8+$20)

Working:.

Interest Revenue

Note that 1 Nov to Dec 31st will give us 2 months

=$52,200 x 0.07 x 2/12 =$609

Note that Dec 11 to Dec 31st will give us 20 days

=$1,800 x 0.08 x 20/360 =$8

Note that Dec 16 to Dec 31st will give us 15 days

=$4,800 x 0.10 x 15/360=$20

What are the solutions to this equation?

16x2 + 9 = 25

Answers

Answer:

x = 1, -1

Step-by-step explanation:

Answer: 16x2 + 9 = 25 A. x = -4 and x = 4 B. x = 0 and x = 4 C.

Step-by-step explanation:

Can someone help Solve these 2 questions for me? It's about Slope Intercept Forms.

Answers

Answer:

9.) The slope is 3 and the y-intercept is -5

10.) y = 0.25x -11

Hope this helped!

Stay safe! <3

Math question pls help

Answers

Answer: 190 is the answer!!!

Explanation: have a good day

Which of the following pairs of functions are inverses of each other?

Answers

Answer:

THE ANSWER IS B

Step-by-step explanation:

IT JUST MAKES SENSE TO CHOOSE B

The option D pairs of functions are inverses of each other.

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

To find the inverse of a function, write the function f(x) as a function of x and then solve for x as a function of f(x).

For option A,

f(x) = 2 + ∛x

To solve for x,

∛x = f(x) - 2

x = (f(x) - 2)³

That is also the inverse So,

g(x) = (x -2)³ "Not correct"

For Option B,

f(x) = x/6 + 8

To solve for x,

x/6 = f(x) -8

x = 6f(x) - 6 *8

That is also the inverse So,

g(x) = 6x - 6 *8 "Not correct"

For Option C,

f(x) = 7/x - 9

To solve for x,

7/x = f(x) +9

x = [tex]\frac{7}{f(x) +9}[/tex]

That is also the inverse So,

g(x) = [tex]\frac{7}{x +9}[/tex] "Not correct"

For Option D,

f(x) = 5x - 11

To solve for x,

5x= f(x) + 11

x = (f(x) + 11)/5

That is also the inverse So,

g(x) =(x + 11)/5 "correct"

Thus, the option D pairs of functions are inverses of each other.

Learn more about function here:

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hello my friend is from 7th grade she need help with her math 5200 at 49% for 3years??

Answers

Answer:

At the end you will have 12,844$ and you have earned 7644$

Step-by-step explanation:

49% 49 times the money 5,200$ = 254,800 divided by 100 = 2548 in 1 year.

Times 2548 by 3 and get 7644$ ( Interest Earned ) add that by original money and get 12,844$ (Money In Total)

simplify (3x+2)(3x-2)

Answers

Answer:

9 (*2)  − 4

Step-by-step explanation:

the *2 is the square unit

Solve for x -(-2x+1)=9-14x​

Answers

Answer:

x = 5/8

Step-by-step explanation:

find the circumference of the circle. circle radius is 8cm

Answers

Answer:

50.24

Step-by-step explanation:

you multiply 8 x 2 to get 16

then you multiply 16 x 3.14 to get 50.24

Pls help me!!!! Im stuck!!!

Answers

Answer:

has no solution.

Step-by-step explanation:

you can see that the two equations are almost identical except for the fact that one is multiplied by 7, but it isnt completely multiplied correctly so there would be no solutions.

Answer:

infinite solutions  

Step-by-step explanation:

you can solve this by the elimination method. take the rover a equation and multiply it by -7 and then combine the equations. when you do this, you can see that either side equals 0 which means that there are infinite solutions.

-7(y= 1.5x - 6) which equals the equation below

-7y= -10.5x-42 then combine the other equation

7y=10.5x+42 and that equals

0=0

Will give brainlyest!! the measures of the angles of the triangle are 50, 30 and 95 degrees.
What is the measure of the largest exterior angle of the triangle

Answers

Answer:

145 degrees

Step-by-step explanation:

The largest exterior angle would be the one with the smallest interior angle, which is 35 And exterior and interior angles is always 180.

180 - 35 = 145 degrees

I need the brainliest

Answer:

145 degrees

Step-by-step explanation:

I don't want the brainleist.

Which set of angles are supplementary?

Answers

Answer:

the third option

Step-by-step explanation:

im pretty sure about this <3

I need to know the answer to this question? 9(p−4)=−18

Answers

Answer:

p = 2

Step-by-step explanation:

Solve the equation:

Distributive property: 9p - 36 = -18

Isolate the variable: 9p = 18

Divide: p = 2

Can I have Brainliest?

The difference of two numbers is 8. If the sum of the smaller number and the square of the larger number is 148, what is the larger number?

Answers

Small number is 4 and the large number is 12.

12 - 4 = 8

12^2 + 4 = 144 + 4 = 148

Have a nice day sie

PLEASE HELP AND HURRY!!!!!

A square playground is covered with pebbles, except for two equal size triangular portions that have grass. How many square feet do the pebbles cover?
7ft
14ft

Answers

Answer:28\2

Step-by-step explanation:

7+7=14

7+7=14

14+14=28

Triangle A=1\2bh

So 28\2

The pebbles cover an area of 147 sq ft. We can use the Pythagorean theorem to find the solution.

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Now, Let's call the length of the third side of the triangle "x".

Since the two triangles are equal in size, and they share two sides with the square, we can use the Pythagorean theorem to find x.

a² + b² = c²

7² + 7² = c²

49 + 49 = c²

98 = c²

c = √(98)

c = 7 √(2)

So, each triangle has a base of 7 ft and a height of 7 √(2) ft.

And, Area of each triangle = (base × height) / 2

                                          = (7 × 7√(2)) / 2

                                          = 24.5 ft²

Since, there are two triangles,

Hence, the total area of the grass is,

⇒ 24.5 sq ft × 2 = 49 sq ft

Hence, The square has an area of,

⇒  14ft × 14ft = 196 sq ft

So, The pebbles cover an area of,

⇒ 196 sq ft - 49 sq ft = 147 sq ft.

Learn more about Pythagorean theorem here: brainly.com/question/14930619

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Solve by using common denominators 2/1 divide 1/4

Answers

Answer:

8

Step-by-step explanation:

That'd be "2/1 divided by 1/4" and if we use common denominators we get:

   2      8

 ----- = -----             divided by 1/4      comes out to 8/1, or just 8

    1       4


Russell has already taken 540 quizzes during past quarters, and he expects to have 5 quizzes
during each week of this quarter. After attending 5 weeks of school this quarter, how many
quizzes will Russell have taken in total? Write and solve an equation to find the answer.
quizzes
Help please it’s IXL

Answers

Answer:

565

Step-by-step explanation:

5x5=25

540+25=565

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