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The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8  )² = 81.

The standard form equation of a circle with center (h, k) and radius r is:

( x - h )² + ( y - k )² = r²

Given that the circle has a center of (-1, -8) and the radius is 9.

Hence; from the standard form of the equation of the circle:

Center ( h , k ) = ( -1, -8 )

h = -1

k = -8

And radius r = 9

Plug these values into the above formula and simplify.

( x - h )² + ( y - k )² = r²

( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²

Simplify

( x + 1 )² + ( y + 8  )² = 81

Therefore, the equation of the circle is ( x + 1 )² + ( y + 8  )² = 81.

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Answer: 1134.11

A=3.14*r^2

Step-by-step explanation:

Answer:

a ≈ 1134.11 cm2

Step-by-step explanation:

The formula:

\(a=\pi r^{2}\)

\(a=\pi (19)^{2} =361\pi\)

\(a=1134.11cm^{2}\)

Hope this helps

The slope of the line that passes through the points (0, -6) and (0, -5)is undefined.

Slope is line's inclination with regard to the horizontal is quantified numerically. In analytical geometry, a line, ray, or line segment's slope is the ratio of the vertical to horizontal distance between any two points on the line, ray, or line segment ("slope equals rise over run").

In differential calculus, the derivative of a function yields the slope of a line tangent to its graph, which represents the function's instantaneous rate of change with respect to changes in the independent variable.

Ok so slope is the change in y over change in x.

Your why changed from 6 to -5 so you can write this as -5 - 6

Your x didn’t change it went from 0 to 0

You can write this as 0-0

Now -11/0 is what you end up with as a slope.

Any number divided by 0 is undefined so your slope is undefined.

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The large jar has better value for money than the smaller one.

To see which jar is the best value for the money, we need to take the quotient between the cost of each jar and the size. The smaller that value gets, the best value we have.

For the first jar we have:

q = £4.10/540 = 0.0075

For the second jar we have:

q' = £2.81/360 = 0.0078

Then we can see that the large jar has the best value for money.

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Answer:

   ◯ ( 3, \(\frac{1}{2}\) )  ,   ⬛(  \(1\frac{1}{2}\)  ,\(2\frac{1}{2}\)) ,   △( 0, \(4\frac{1}{2}\) )

Step-by-step explanation:

             x-coordinate                    y-coordinate

◯ ---            3                                           \(\frac{1}{2}\)

⬛ ---           \(1\frac{1}{2}\)                                         \(2\frac{1}{2}\)

△  ---             0                                         \(4\frac{1}{2}\)

Measure the unit grids on the graph, x and y, that's the x and y coordinate.

Answer:

I HAVE THE same question i need helpp ty ;/

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

It’s 2 because

2 has 6 sides and the net has 6 squares

picture folding up the net. You’ll h]get number 2

Answer:

256

Step-by-step explanation:

4⁴

= 4 × 4 × 4 × 4

= 16 × 16

= 256

x = 24, y = 120

if you disagree tell me, I just substituted values.

Step-by-step explanation:

10. (6x - 7)° + (3x - 29)° = 180°

i.e they are co-interior angles:

6x + 3x - 7 - 29 = 180°

9x - 36° = 180°

9x = 216°

x = 24.

(6x - 7)° = (8y + 17)°

i.e they are vertically opposite angles;

but x = 24.

6(24) - 7 = 8y + 17

144 - 7 = 8y + 17

120 = 8y

y = 15

11. (9x + 25)° = (13x - 19)°

i.e they are corresponding angles;

25 + 19 = 13x - 9x

44 = 4x

x = 11

(13x - 19)° + (17y + 5)° = 180°

i.e they are adjacent angles;

but x = 11

13(11) - 19 +5 + 17y = 180

17y = 180 - 129

17y = 51

y = 3

To subtract g(x) from f(x), we simply have to plug in the given values of the function written above.

Then, solve.

First, eliminate the parenthesis by distributing the symbol/number outside of it to the numbers inside the parenthesis.

Next, combine similar terms. We have 2x + 7x and -3 + 3.

Lastly, arrange the terms according to highest degree (highest exponent).

Hence, f(x) - g(x) = -6x² + 9x.

Answer:

-6

Step-by-step explanation:

y+8=2

-8. -8 -> subtract 8 to leave y by itself

y=-6

Answer: Well you have to subtract 8 from both sides so 8-8 crosses off 2-8 equals -6 so y equals -6.

Step-by-step explanation:

Hope it helps! Mark me brainliest.

In fraction form, the answer is 1/4, which represents the simplified probability of the given event occurring.

To find the probability of picking a prime number and then picking another prime number, we first need to determine the total number of possible outcomes and the number of favorable outcomes.

Given the four numbers: 5, 6, 7, and 8, we can see that there are two prime numbers (5 and 7) and two non-prime numbers (6 and 8).

The total number of possible outcomes is 4 since there are four cards to choose from.

Now, let's consider the favorable outcomes, which are picking a prime number and then picking another prime number.

The probability of picking a prime number on the first draw is 2/4, as there are two prime numbers out of the four total cards.

Since we replace the card before the second draw, the probability of picking a prime number on the second draw is also 2/4.

To find the probability of both events occurring, we multiply the individual probabilities:

(2/4) * (2/4) = 4/16 = 1/4

Therefore, the probability of picking a prime number and then picking another prime number is 1/4.

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Answer:

56%

Step-by-step explanation:

This is because the question you need to ask yourself is: 14 is what percent of 25? and the way you solve that is making it 14/25 and then all percents are out of 100 so you need to change the fraction to over 100 so just multiply by 4 (because 25 x 4 is 100) and you get 56/100, which means 56%.

The solution of the equation is expressed as x = 10 and x = 0.

To solve the equation 0 = x² - 10x + 30, we can complete the square by adding and subtracting the square of half of the coefficient of the x term. In this case, we would add and subtract (1/2 * -10)²= 25 to obtain:

0 = (x - 5)² - 25

This simplifies to x - 5 = +/- √(25), so the solutions to the equation are x = 5 + √(25) and x = 5 - √(25). that is x = 10 and x = 0.

The product (3 + 3i)(3 - 3i) can be calculated by multiplying the terms together, which gives 9 + 9i - 9i - 9i²2. Since i²= -1, this simplifies to 9 - 9i - 9(-1) = 9 + 9i + 9 = 18 + 9i.

To factor the expression 16x² + 25, we can write it as 16x²2 + 4 * 6 + 1 * 25. The expression can then be factored as 16x^2 + 4(6 + 1 * 25), which simplifies to 16x²+ 4(31) = 4(4x² + 31). This shows that the expression 16x² + 25 can be written as the product of 4 and 4x² + 31.

The product (4 + i)(4 - i) can be calculated by multiplying the terms together, which gives 16 - 4i - 4i + i². Since i² = -1, this simplifies to 16 + 4 - 4 - 1 = 11. So the product (4 + i)(4 - i) can be written as 11.

The quotient 101 + 2i can be written in the form a + bi by dividing the numerator by the denominator. In this case, the numerator is 101 + 2i and the denominator is 1, so the quotient is 101 + 2i.

In the complex number system, i is the imaginary unit, which is defined such that i² = -1. Complex numbers are numbers that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

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Answer: 3.75 ft

Step-by-step explanation:

30/8=3.75

So since area is A= L*W

8*3.75=30 ft2

Answer:

Step-by-step explanation:

Let x be the number of miles you and your friend travel.We know that the cost of the bus ride is 60 cents per mile, so the total cost of the trip is 60 * x.This can be written as an equation as follows:Cost = 60 * xOr, more simply:Cost = 60xThis equation represents the relationship between the number of miles you and your friend travel and the cost of the trip. As the number of miles increases, the cost of the trip also increases at a rate of 60 cents per mile.

Answer:

Since,

The line segment will be parallel to X-axis when plotted in graph.

So,

It's slope will be 0.

Answer:

Below

Step-by-step explanation:

You didn't show any choices.....here are some similar:

Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

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Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240

Answer:

if i were you i would go with c but dont tk my word for it.

Step-by-step explanation:

It is given that ratio of 1 dollar bill to 100 dollar bill is:

The answer is 1:100 and not 1:1000.

So the answer is False.

Answer:

Well all even numbers between 0 and 8 are,

2, 4, 6, 8

Meaning if the button is pressed 4 times 2, 4, 6, or 8 will be outputted.

When press button 4 times. Then output of the program will be,  \((2,4,6,2)\)

Any number that can be exactly divided by 2 is called as an even number.

Given that, When a button is pressed, a computer program outputs a random even number greater than 0 less than 8.

Even numbers greater than 0 less than 8 are,

                             \(=2,4,6\)

When press button 4 times. Then output of the program will be,

                     \(=(2,4,6,2)\)

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Answer:  72.4

Step-by-step explanation:

soh-cah-toa

cos(25)= adjacent/hypotenuse

cos(25)= adjacent/48

adjacent= 48 * cos(25)

tan(59) = opposite/adjacent

tan(59) = x / 48 * cos(25)

x = 72.4

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Step-by-step explanation:

The price of each of these be

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

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Answer:

F

Step-by-step explanation:

F

Answer:

M ≤20

Step-by-step explanation:

The area of a rectangle is given by the formula:

Thus, we have:

Answer:

Step-by-step explanation:

the arrows on the lines EC and AB mean those are parallel,  also the tick marks on AD and AB mean those are the same length, so two adjacent sides are the same length and two opposite sides are parallel.  This is a rhombus, or a tipped square.  So now we know,  sides AD and BC are also parallel