Why does (x-2)^2+9=0 have no real solutions?

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Given

(x - 2)² + 9 = 0 ( subtract 9 from both sides )

(x - 2)² = - 9  ( take the square root of both sides )

x - 2 = ± [tex]\sqrt{-9}[/tex]

[tex]\sqrt{-9}[/tex] yields no real solutions

There is no real number when multiplied by itself gives - 9

In fact the solutions to [tex]\sqrt{-9}[/tex] are said to be imaginary, that is ± 3i

where i = [tex]\sqrt{-1}[/tex]

If interested investigate further.


Related Questions

9b+8b+4 can u simplify that

Answers

the answer is 17b + 4

9. John is painting a box that is shaped like a cube. One-eighth of a bottle of paint covers of one face of the box. How many bottles of paint will John need to paint the entire box?

Answers

Final answer:

John will need 4.5 bottles of paint to cover the entire cube, with one-eighth of a bottle covering one-sixth of one face and a cube having 6 faces.

Explanation:

The question asks how many bottles of paint John will need to paint the entire cube. If one-eighth of a bottle covers one-sixth of one face, then to cover the whole face, John would need 6 times the amount of paint for one-sixth of the face, which is 6 x 1/8 = 3/4 of a bottle. Since a cube has 6 faces, he will need 6 times 3/4 bottles to paint the entire cube. Therefore, John will need 4.5 bottles to paint the entire cube, as each face requires 3/4 of a bottle and there are 6 faces.

What is a muscle verb??

Answers

Definition of muscle (Entry 2 of 2) transitive verb. : to move or force by or as if by muscular effort muscled him out of office. intransitive verb. : to make one's way by brute strength or by force.

Answer: move (an object) in a particular direction by using one's physical strength.    -angie:) .   pls mark me brainliest!    have a nice day!

Step-by-step explanation: pls trust me

Solve the inequality.
7- 9x4 - 11x

Answers

Answer:

-11x-29

Step-by-step explanation:

given f(x) = 5x-1....what is f(-2) ?

Answers

Answer: -11

Step-by-step explanation:

f(-2)=5(-2)-1

f(-2)= -10-1

f(-2)= -11

Answer:

f(-2) = -11

Step-by-step explanation:

x = -2

plug in -2 for x in the given equation:

f(x) = 5x - 1

f(-2) = 5(-2) - 1

Simplify. Remember to follow PEMDAS. First, multiply, then subtract:

5(-2) = 5 * -2 = -10

-10 - 1 = -11

f(-2) = -11.

~

Sam spent half of his allowance going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance if he ended with 16 dollars?

Answers

The answer is 18 dollars. If you subtract the $7 he earned, not originally part of his allowance, you get 9. Multiply by 2 because he spent half on the movies and you get 18.

Triangle XYZ is similar to triangle ABC. SOLVE FOR K.​

Answers

Answer:

k=13.5

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well we know there is a scale factor of 3 for the first triangle to the second.

4.5 to k

3 to 9

4 to 12

Hence, all we need to do it 4.5*3=k

4.5*3=13.5

k=13.5

(っ◔◡◔)っ ♥ Hope this helped, have a great day! ♥

˜”*°•.˜”*°• ~Star •°*”˜.•°*”˜

Answer:

13.5

Step-by-step explanation:

Because they are similar you can create a ratio problem

4.5/k = 3/9

3k = 40.5

k = 13.5

Somebody please help meeeee

Answers

Step-by-step explanation:

[tex] \frac{2 + 3i}{4 - 5i} [/tex]

[tex] \frac{(2 + 3i)(4 + 5i)}{(4 - 5i)(4 + 5i)} [/tex]

[tex] \frac{8 + 10i + 12i + 15 {i}^{2} }{16 - 25 {i}^{2} } [/tex]

[tex] \frac{8 + 22i + 15( -1 )}{16 - 25 ( - 1)} [/tex]

[tex] \frac{8 - 15 + 22i}{16 + 25} [/tex]

[tex] \frac{ - 7 + 22i}{41} [/tex]

So, a= -7

b= 22

c= 41

Write a polynomial function, with 5 zeros, with one zero with a multiplicity of 3, and one zero with a multiplicity of 2

Answers

Answer:

[tex](x-a)^{2} (x-b)^{3}[/tex]

Step-by-step explanation:

This is an openended question, but the anwer would be the following (where a and b are different real numbers)

[tex](x-a)^{2} (x-b)^{3}[/tex]

This would make the roots a (multiplicity of 2) and b (multipicity of 3).

What’s the geometric meaning between 3 and 8

Answers

Step-by-step explanation:

The geometric mean between 3 and 8

[tex] \sqrt{3 \times 8} [/tex]

[tex]2 \sqrt{6} [/tex]

2× 2.45

4.9

- Which number is located at Point A on the number line!
04
04
0-6
6​

Answers

The point A on the number line represents -4.

Step-by-step explanation:

Step 1:

The distance between 0 and -5 is split into 5 partitions.

The value for each distance is given by dividing the difference by the number of partitions.

So each partition represents a value of [tex]\frac{5}{5}=1[/tex] unit.

Step 2:

Since it is going on the negative side of the number line, the numbers vary by a value of -1 each.

The value of the first partition; [tex]-1(1) = -1[/tex],

The value of the second partition; [tex]-1(2) = -2[/tex],

The value of the third partition; [tex]-1(3) = -3[/tex],

The value of the fourth partition; [tex]-1(4) = -4[/tex],

The value of the fifth partition; [tex]-1(5) = -5[/tex].

The point A on the number line is in between the zero and the fifth partition so it is the fourth partition which has a value of -4.

Jalen is making pancakes he has 1 L of pancake mixture if Jalyn is using 1/4 L of mixture for one pancake how many pancakes can he make with the whole mixture create an equation and also give the solution

Answers

Jalen can make 4 pancakes with the whole mixture.

Jalen is making pancakes with a total of 1 L of pancake mixture.

He plans to use 1/4 L of mixture for each pancake.

To calculate how many pancakes he can make, we can set up an equation,
Vtotal / Vpancake = number of pancakes

Plugging in the given values:

1 L / (1/4) L = number of pancakes

On solving, we get

number of pancakes = 4

ILL GIVE BRAINILIST!!! reasoning plz!

Answers

You have the correct answer, because if you look at the two shapes, you will see that they both have the same angles for two of the vertexs. The length of the side in between these two angles is congruent on both sides of the shape, meaning that the two other angles on both of the shapes are also identical. So according to the SAS rule (side angle side), you know that the two shapes are similar.

Answer:

4th parallelogram is correct

Step-by-step explanation:

you can find this answer by making use of ratios

the angles (112 ) should remain the same hence :

the second and third answer are incorrect

now lets look at the 1st and 4 th answer

IST paralleogram

the diagonal is 4.8 and horizontal is 6

now compare to the original by using ratios.. the ratios for both diagonal and horizontal should be the same for it to be correct

diagonal ratio = 5.8/4.8 = 1.21

horizontal ratio = 8/6= 1.33

both ratios are not the same hence INCORRECT

4TH parallelogram

the diagonal is 2.9 and horizontal is 4

now compare to the original by using ratios.. the ratios for both diagonal and horizontal should be the same for it to be correct

diagonal ratio = 5.8/2.9 = 2

horizontal ratio = 8/4 = 2

both ratios are the same. hence CORRECT

4TH parallelogram is correct

Which expression is equivalent to (3x^2)^3

Answers

Answer:

27x^6

Step-by-step explanation:

(3x^2)^3=

3^3(x^2)^3=

27x^6

Final answer:

The expression equivalent to (3x²)³ simplifies to 27x⁶, by cubing the coefficient and multiplying the exponent by 3.

Explanation:

The expression equivalent to (3x²)³ is found by cubing the digit term and multiplying the exponent by 3. When we cube 3, we get 3 x 3 x 3 which equals 27. Then, we apply the cubing to the variable term x², by multiplying the exponent 2 by 3, giving us x²ˣ³ or x⁶. Thus, the expression simplifies to 27x⁶.

3 1/7 divided by 1 1/4

Answers

Answer:

2 18/35

Step-by-step explanation:

your welcome

Answer:

88/35

Step-by-step explanation:

First, change the mixed numbers into the improper fractions, 22/7 and 5/4. Now you can divide. I use a method called KCF, which means Keep Change Flip. Here is your expression: 22/7 / 5/4. Keep the first fraction. Change the sign; change the division sign into a multiplication symbol. Now you have 22/7 x 5/4. Finally, flip the last fraction into 4/5. Now you have 22/7 x 4/5. Multiply numerator by numerator, denominator by denominator to get 88/35. You can also simplify this into 2 18/35.

Factor as the product of two binomials
x^2-9x+20

Answers

HOPE THIS WILL HELP U..:)

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The given polynomial as the product of two binomials x²-9x+20 can be expressed as (x-5)(x-4).

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

The given polynomial can be factorized as shown below.

x² - 9x + 20 = 0

Divided the middle term into two terms such that the sum of those two terms is -9, while the product of those two terms is +20.

Therefore, the two terms will be -5 and -4.

= x² - 5x - 4x + 20

Taking x as the common term from the first two terms and -4 as the common term from the last two terms.

= x(x-5)-4(x-5)

Taking (x-5) as the common term from the two formed terms,

=(x-5)(x-4)

Hence, the given polynomial as the product of two binomials x²-9x+20 can be expressed as (x-5)(x-4).

Learn more about Polynomials:

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Which of the following terms describes the measure indicated by the black
arrow below?
A. Mean
0
B. Minimum
O
C. Median
D. Range​

Answers

Answer:

Median :)

Step-by-step explanation:

The term that describes the measure indicated by the black arrow below is option (C) median is the correct answer.

What is median?

The median is the middle value when a data set is ordered from least to greatest. Median is a measure of central tendency which gives the value of the middle-most observation in the data.

For the given situation,

The diagram shows the graph of data plotted in the plane.

In the graph, the black arrow is drawn in the middle of the data set.

The right side of the data is symmetric to the left side of the data.

Thus the arrow gives the value of the middle-most observation in the data.

Hence we can conclude that the term that describes the measure indicated by the black arrow below is option (C) median is the correct answer.

Learn more about median here

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Ceci can drive 225 miles in 3 hours. (Rate-___) ?

How many hours an does it take her to drive 1.125 miles? ____

Answers

Bjhjggdgvkjkgfsfgivgjkfggjjkkkllo

Final answer:

Ceci's driving rate is 75 miles per hour. To drive 1.125 miles at this rate, it would take her 0.015 hours, or approximately 0.9 minutes.

Explanation:

The question requires the calculation of Ceci's driving rate and then using it to determine how long it will take her to drive a shorter distance. First, we determine Ceci's driving rate:

Rate = Distance ÷ Time

Ceci's rate of driving is calculated by dividing the distance she can drive, 225 miles, by the time it takes her, which is 3 hours.

Rate = 225 miles ÷ 3 hours = 75 miles/hour

With the rate calculated, we can now determine how long it takes her to drive 1.125 miles:

Time = Distance ÷ Rate

Thus, the time to drive 1.125 miles at 75 miles/hour is:

Time = 1.125 miles ÷ 75 miles/hour = 0.015 hours, or approximately 0.9 minutes (since there are 60 minutes in an hour). To drive 1.125 miles at this rate, it would take her 0.015 hours, or approximately 0.9 minutes.

Sixty-five percent of what number is 22.75

Answers

Answer:

35

Step-by-step explanation:

Answer: 35

Step-by-step explanation:

Do 65/100 = 22.75/x

Cross multiply and then you get 65x=2,275

Then divide both sides by 65 to get x=35

What is the correct word form of 5.08

Answers

Five and 8 hundredths

Answer:

Five and eight hundredths

Step-by-step explanation:

The 5 is Five

0.08 is eight hundredths

Five and eight hundredths

Answer:  Five and eight hundredths

Solve for g

-3+5+6g=3g

Answers

Answer:

g= -0.67

Step-by-step explanation:

Answer:

g= -2/3

Step-by-step explanation:

1.simplify -3+5+6g to 6g+2: 6g+2=3g

2.subtrat 6g from both sides.: 2=3g-6g

3. Simplify 3g-6g to -3g: 2=-3g

4. Divide both sides by -3: -2/3=g

5. switch sides: g=-2/3

According to the the Cincinnati zoo, the average weight, in pounds, of the
new baby gorilla in its first month of life can be described by the equation
P= 16 + 4w, where w is the number of weeks since birth. How many
Pounds did the baby gorilla weigh at birth?

Answers

The weight of the gorilla at its birth is 16 pounds

Step-by-step explanation:

Step 1 :

The equation representing the weight of the gorilla in its first month of life is given as  

P= 16 + 4 w

Where P represents the weight in pounds and

w represents the number of weeks since birth

We need to find the weight of the gorilla at birth

Step 2 :

The number of weeks since birth of the gorilla will be zero at its birth. Hence the variable w will be 0 at its birth.

Substituting this in the above equation we have.

P = 16 + 4(0)

=> P = 16

Step 3 :

Answer :

The required weight of the gorilla after its birth is 16 pounds

 

A store has 500 winter coats. 35% are wool and 1/4 are nylon. How many coats are either wool or nylon?

Answers

Answer:

60%

Step-by-step explanation:

P(A or B) = P(A) + P(B)

175/500 are wool and 125/500 are nylon

Add them to get 300/500 or 3/5 or 60%

There are 300 coats that are either wool or nylon.

A store has 500 winter coats. 35% are wool, and 1/4 are nylon.

To find the number of coats that are either wool or nylon, we add the number of wool coats and nylon coats.

First, calculate the number of wool coats: 500 coats * 35% = 0.35 * 500 = 175 wool coats.

Then, calculate the number of nylon coats: 500 coats * 1/4 = 500 * 1/4 = 125 nylon coats.

Finally, add the number of wool and nylon coats to find the total number of coats that are either wool or nylon: 175 wool coats + 125 nylon coats = 300 coats.

can you please help me out​

Answers

Answer:

Not skewed.

Step-by-step explanation:

It's not going left or right, it's equal on both sides!

If I'm wrong, I'm EXTREMELY sorry!!!

If I'm right, you're welcome!

2/3=n/12

solve the proportion

Answers

Answer: [tex]n=8[/tex]

Cross-multiply

[tex]2/3=n/12[/tex]

[tex](2)*(12)=n*(3)[/tex]

[tex]24=3n[/tex]

Flip the equation

[tex]24=3n---->3n=24[/tex]

Divide both sides by 3

[tex]3n/3=24/3[/tex]

[tex]24/3=8----> n=8[/tex]

Final answer:

To solve the proportion 2/3 = n/12, cross multiply to get 2×12 = 3×n. Simplify the equation to 24 = 3×n, and divide both sides by 3 to get n = 8.

Explanation:

To solve the proportion 2/3 = n/12, you begin by cross multiplying to find the value of n. This means you multiply 2 by 12 and 3 by n. The equation now looks like this: 2×12 = 3×n.

Next, simplify the left side of the equation, which results in 24 = 3×n.

Finally, solve for n by dividing both sides of the equation by 3, leading to n = 8.

This method of cross multiplication and division is a common technique used to solve proportions and find missing values in ratios.

What is the probability of a blue jay being the next bird papa sees?

Answers

Answer:

Awesome

Step-by-step explanation:

YOU KNOW

Answer:

100% probability

help pleaseeeeeeeeeeeeeeeeeeee​

Answers

Answer:

The length is 5.7

Step-by-step explanation:

Step 1:  Make an equation to represent the problem

2(7.9) + 2(L) = 27.2

Step 2:  Solve for L/Length

2(7.9) + 2(L) = 27.2

15.8 + 2L - 15.8 = 27.2 - 15.8

2L / 2 = 11.4 / 2

L = 5.7

Answer:  The length is 5.7

8.235 x 10-4 = ? standard form

Answers

Answer:

I think it is NaN*10^0

0.0008235 I think That’s the answer


Consider a circle with a diameter of 5 centimeters. Which equation shows how the relationship between the circumference and the diameter of this circle is equivalent to π?
A) π = 5C
B) π =
5
C
C) π =
C
5
D) π =
1
5C

Answers

Answer:

The equation which shows how the relationship between the circumference and the diameter of this circle is equivalent to π is π =  [tex]\frac{C}{5}[/tex] ⇒ answer C

Step-by-step explanation:

In any circle there is a constant ratio between the circumference of the circle and its diameter

This constant ratio is called π

∵ The formula of the circumference of a circle is C = π d,

    where d is the diameter of the circle

- Divide both sides by d

∴ [tex]\frac{C}{d}[/tex] = π

- Switch the two sides

∴ π =  [tex]\frac{C}{d}[/tex]

∵ The diameter of the circle is 5 centimeters

∴ π =  [tex]\frac{C}{5}[/tex]

The equation which shows how the relationship between the circumference and the diameter of this circle is equivalent to π is π =  [tex]\frac{C}{5}[/tex]

To solve this question, we need to think about the relationship between the circumference (C) of a circle and its diameter (d). The formula that describes this relationship is C = π * d.
Now, if the diameter (d) of the circle is 5 centimeters, then substituting this into the formula, we get:
C = π * 5
We want to find how this is equivalent to π, so we need to solve for π. To isolate π, we can divide both sides of the equation by 5:
C / 5 = (π * 5) / 5
Now, dividing 5 on the right side of the equation cancels it out:
C / 5 = π
This equation shows that π is equal to the circumference divided by the diameter of the circle. Since the diameter is 5 centimeters, the correct way to write this is:
π = C / 5
Which corresponds to option C.

the ratio that compares the measurements
of a model and the real object

Answers

Answer:

scale

Step-by-step explanation:

The scale is the ratio of the size of a model compared to the real object. A model is made to represent a real object that was too big (like building, bridge, car) or too small(bacteria, atoms, molecule). Having a model can help someone to visualize the real object easier.  Scale can be represented as a percentage, or ratio.

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