Write x2 + 6x +13 in the form (x + a)

2 + b where a and b are integers.

Answers

Answer 1

Step-by-step explanation:

a and b are not integers

[tex] {x}^{2} + 6x + 13 = 0 \\ x = - 3 \pm2i[/tex]

[tex]a \: \in \mathbb{C}[/tex]

[tex]b \: \in \mathbb{C}[/tex]


Related Questions

Write the following terms as a product of prime factors.
12m²n^3 =
18m^3n =

Answers

Writing the terms as a product of prime factors; we have;

12m²n³ = 2 × 2 × 3 × m × m × n × n × n

18m³ n = 2 × 3 × 3 × m × m × m × n

According to the question:

We are required to write the following terms as a product of prime factors.

Prime numbers are numbers which are only divisible by themselves and the integer 1.

The prime factors of 12m²n³;

12m²n³ = 2 × 2 × 3 × m × m × n × n × n

The prime factors of 18m³n;

18m³n = 2 × 3 × 3 × m × m × m × n.

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Answers

Answer:

C. 15

Step-by-step explanation:

1. First, let's solve the system of equations; [tex]-m - n = 5, m - n = -3[/tex]

Solve -m - n = 5 for m.

[tex]-m -n = 5[/tex] [tex]-m-n+n=5+n[/tex] [tex]-m = n + 5[/tex] [tex]\frac{-m}{-1} = \frac{n+5}{-1}[/tex] [tex]m = -n - 5[/tex]

Substitute -n - 5 for m in m - n = -3.

[tex]m - n = -3[/tex] [tex]-n - 5 - n = -3[/tex] [tex]-2n-5=-3[/tex] [tex]-2n-5+5=-3+5[/tex] [tex]-2n = 2[/tex] [tex]\frac{-2n}{-2} = \frac{2}{-2}[/tex] [tex]n = -1[/tex]  

Substitute -1 for n in m = -n - 5.

[tex]m = -n - 5[/tex] [tex]m = -(-1) - 5[/tex] [tex]m = 1 - 5[/tex] [tex]m = -4[/tex]

2. Okay, now that we know m = -4 and n = -1, let's solve for m^2 -n^2.

[tex]m^2-n^2[/tex] [tex](-4)^2-(-1)^2[/tex] [tex]16 - (-1)^2[/tex] [tex]16 - 1[/tex] [tex]15[/tex]

Therefore, the answer is C. 15!

Answer:

c 15

Step-by-step explanation:

-m-n=5

m+n=-5

(m+n)×(m-n)=m²-n²

m²-n²=-3×-5=15

the temperature dropped 4°c every hour for 5 hours. write an integer that represents the change in temperature

Answers

Answer:

20°C

Step-by-step explanation:

To find the change in temperature, we can multiply the values given.

4 * 5 = 20°C

Best of Luck!

Which number is greater than 1/4​

Answers

Answer:

what numbers are we choosing from?

it isnt showing up if you attached an image.

but anyways 3/4 is larger.

The answer to the question are a lot. You just need to pick one from these

2/4, 3/4, 4/4, 1

Rachel can finish the job in 5 hours, while Carl can finish the same job in 8 hours. How long will it take them to finish the job together?PLS ANSWER ASAP WILL MARK BRAINLIEST IF CORRECT!!!!

Answers

5-7 hours i think, not 100% sure

Step-by-step explanation:

if you have any answer choices can you please list them? I'm not sure if this is correct but I'm guessing it'll take them both 5ish hours. Since Rachel can finish it in 5 hours but Carl takes longer, either they'll get it done in 5 hours or may it'll take a longer like 6 hours if Carl slows Rachel down. hope this helps!

Answer: 3 hours

Step-by-step explanation:

If she can do it in 5 and he, in 8 then subtract 5-8 and you get 3. Together they can complete this in 3 hours. Have a great day!

Tim wants to prove that BA≅BC by proving △BXA≅△BXC
. He knows that: BX is the perpendicular bisector of segment AC, and therefore
any point on BX is equidistanct from point A and point C.
Why is
△BXA≅△BXC?

B.
Side-Side-Side (SSS) Theorem

C.
Angle-Side-Angle (ASA) Theorem

D.
Angle-Angle-Side (AAS) Theorem

E.
Hypotenuse Leg Theorem

Answers

Answer:

hh

Step-by-step explanation:

please help me solve x please

Answers

Answer:

x = 5

Step-by-step explanation:

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

In the given problem, the exterior angle is < B, and the non-adjacent interior angles are < D and < C.

Given that:

< B = 12x + 8

< D = 8x + 8

< C = 20°

Set up the following formula to solve for x:

(8x + 8) + 20 = 12x + 8

Combine like terms:

8x + 28 = 12x + 8

Subtract 8 from both sides:

8x + 28 - 8 = 12x + 8 - 8

8x + 20 = 12x

Subtract 8x from both sides:

8x - 8x + 20 = 12x - 8x

20 = 4x

Divide both sides by 4 to solve for x:

20/4 = 4x/4

5  = x

Therefore, x = 5.

PLSSSS HELP ME WITH THIS QUESTION!!!

Answers

Answer:

18 since you have 13nd 3 that equal

10

Jack has 10
Kathy has 23
Vanessa has 26


10+23+26=59


To solve basically make Jacks money=x
Therefore

Kathys money= x+ 13
Vanessas money= x+13+3 (she has three more than Kathy cause it says Kathy has three less than her)

All of these terms together and make them equal to 59, combine like terms and solve for x (jacks money) which is 10

evaluate -0.75(p - 1.2) for p = 2

Answers

Answer:

[tex] - .75(p - 1.2) \\ p = 2 \\ - .75(2 - 1.2) \\ = - .75(.8 ) \\ = .6 \\ thank \: you[/tex]

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

Let's evaluate :

[tex] - 0.75(p - 1.2)[/tex]

[tex] - 0.75(2 - 1.2)[/tex]

[tex] - 0.75(0.8)[/tex]

[tex] - 0.6[/tex]

In a river, a trout passed beneath a woman who was swimming at 1,800 centimeters per minute. The trout swam 8,000centimeters directly upstream at a constant velocity. It swam that distance in 0.8minutes. What was the trout's velocity?

Write your answer as a whole number.

centimeters per minute upstream

Answers

Answer:

It would approximately be 3.73 m/h

Step-by-step explanation:

0.8 mins is 48 seconds

I then divided 8000 by 48 seconds to see how many cm it traveled per second.

It traveled 166.666666667 cm per second

I then converted cm to feet

so it was 5.468066491699474 feet per second

I then converted feet to miles, so it was 0.0010356186537309611598 miles per second.

Then I multiplied it by 60 so it was 0.06213711922 miles per minute.

Finally I multiplied it by 60 again to make it 3.72822715343 miles per hour.

I rounded it to the nearest hundredth making it 3.73 m/h

Amtrak: 80 miles in 5 hours
Metra: 30 miles in 2 hours

Which train is faster? How do you know?

Answers

Answer:

hope it helps......................

Answer:

Hello, There! I'll be Glad to help

Question

Amtrak: 80 miles in 5 hours

Metra: 30 miles in 2 hours

Which train is faster? How do you know?

Answer

[tex]\textbf{Amtrak is correct}[/tex]

Step-by-step explanation:

So First we have to figure out Has fast the trains  go in 1 hour so we are going to divide...

Metra

30 ÷ 2 =  15 Miles  (Metra can go 15 Miles in one hour)

Amtrak

80 ÷ by 5 = 16  (Amtrak Can go 16 Miles in one hour)

_______________________________________

So If Metra Were to keep going  Here are the list of Miles Below

(45 Miles in 3 hours)

(60 Miles  in 4 hours)

(75 miles in 5 hours)

________________________________________

Amtrak

(96 Miles in 6 hours)

(112 miles in 7 hours )

(128 miles in 8 hours)

Therefore,  Amtrak  is the Fastest Train

Solve: 3x+4 2−6x = −2/ 5

Answers

Answer:

(3x + 4)/(2 - 6x) = -2/5

=>5(3x + 4) = -2(2 - 6x)

=> 15x + 20 = -4 + 12x

=> 15x -12x = -4 -20

=> 3x = -24

x = -24/3 = -8

I need help with this question ​

Answers

Answer:

ijjjjjjjhgd ghhhh gghh

1.2 1,4

Cho hình bình hành ABCD . Gọi E , F , M , N là trung điểm AB , BC , CD , DA . Cmr : a) Ba vectơ EF , AC , MN cùng phương . b) vectơ EF = vectơ NM. Suy ra : EFMN là hình bình hành

Answers

Answer:

Không ai yêu bạn

Step-by-step explanation:

Bạn là người Việt Nam, ruộng lúa của bạn có hư không? Tốt nếu nó được.

What is the image of (8,6)(8,6) after a dilation by a scale factor of \frac{1}{2}
2
1

centered at the origin?

Answers

The image of the point (8, 6) dilated by a scale factor 1/2 is (4, 3)

The given point is (8, 6)

The scale factor of dilation = 1/2

To dilate a given point (x, y) by a scale factor m, multiply each of the coordinates (x, y) by m

The image = (mx, my)

For the point (8, 6) dilated by 1/2, the image will be calculated as shown below:

[tex](\frac{1}{2}\times 8, \frac{1}{2} \times 6)\\= (4, 3)[/tex]

The image of the point (8, 6) dilated by a scale factor 1/2 is (4, 3)

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Answers

Your answer is gonna be the answer A

divide the given equation By 5 5x² - 4x- 3 = 0 .​

Answers

Answer:

x^2 - 4/5x - 3/5 = 0

Step-by-step explanation:

5x^2/5 - 4x/5 - 3/5 = 0/5

x^2 - 4/5x - 3/5 = 0

[tex]\\ \sf\longmapsto \dfrac{5x^2-4x-3=0}{5}[/tex]

Divide each variable by 5

[tex]\\ \sf\longmapsto \dfrac{5x^2}{5}-\dfrac{4x}{5}-\dfrac{3}{5}=\dfrac{0}{5}[/tex]

[tex]\\ \sf\longmapsto x^2-\dfrac{4}{5}x-\dfrac{3}{5}=0[/tex]

We are done!

Summarize Rotational Symmetry in your own words.

Answers

Answer:

a pattern that we can turn a pattern by some degree about a point and the pattern looks exactly the same

Step-by-step explanation:

Many geometrical shapes appear to be symmetrical when they are rotated 180 degrees or with some angles, clockwise or anticlockwise

Factorize the following

7x + 19x + 12
3x square - 13x + 10
6y square + 3y - 9​

Answers

Answer:

2(13x+6)

(3x-2)(x+5)

3(y-1)(2y+3)

Step-by-step explanation:

hoffe das hilft

Please help me solve this

Answers

Answer:

Step-by-step explanation:

This number is much larger than 1. You need to start at the decimal and move left (that's how scientific notation works for numbers larger than 1.)

So the answer is 1.0054 * 10 ^7

The person doing this started at the 1 and moved right until he/she hit the decimal. Wrong direction.

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 2, 3) and (0, negative 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (1, 0). Everything to the right of the line is shaded.
Which inequality pairs with y≤−2x−1 to complete the system of linear inequalities represented by the graph?

y<−2x+2
y>−2x+2
y<2x−2
y>2x−2

Answers

Answer:

its b

Step-by-step explanation:

I think it's b because I am trying

There are 360 girls in a school and they account for 15% of the students studying there, How many students study at that school?

Answers

Answer:

1250

Step-by-step explanation:

What is the slope of line segment betweem the points (-1,-1) and (-2,-4)

Answers

Answer: 3

Step-by-step explanation:

Slope formula: (y2 - y1)/(x2 - x1)

(-4 -(-1))/(-2-(-1)

(-4+1)/(-2+1)

-3/-1

= 3

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I provide detailed explanations for math questions for as little as $1!

Answer:

hope you like my answer its -3

Simplify 3 10 +7 15- 6 10 -4 15
O 3/10-315
O 315-3110
O 3130 -3120
O 3120-3130

Answers

Answer:

B

Step-by-step explanation:

I NEED HELP ASAP. BRAINLIEST TO THE CORRECT ANSWER.

Jane invests £300 at a simple interest rate of 4.5% per year. At the end of each year, Jane gives the interest to a charity Work out the least number of years it will take for the total amount given to the charity to be greater than £50. Show your workings.

Answers

Answer:

At least 4 years

Step-by-step explanation:

Simple interest is given by

I = Prt

so here, one year's interest is

I = 300(.045) = 13.5

Divide 50 by 13.5 and get 3.7 years...thus

she will need four years to donate 50...

Step-by-step explanation:

Interest Rate = (Simple Interest × 100)/(Principal × Time).

given

Principal(P) = 300

Interest Rate(I.R) = 4.5%

Simple Interest(S.I) = 50

required

Time(T)

I.R = (S.I × 100)

(P ×T)

T × I.R = (S.I × 100) ×T

I.R (P × T) × I.R

T = (S.I × 100)

(P × I.R)

= (50 × 100)

(300 × 4.5)

= 5000

1350

=3.7

A laptop has a listed price of $503.98 before tax if the sales tax rate is 7.5% find the total cost of the laptop with sales tax included

Answers

Answer:

The tax would be roughly $37.79, which means the laptop would be overall $541.77.

hELP asap


39.67 + 18.41

Answers

Answer:

58.08

Step-by-step explanation:

Answer:

58.08

Step-by-step explanation:

39.67+18.41=58.08


Which is the equation of a line that has a slope of -2/3 and passes through point
(-3,-1)?
o y=-2/3x+ 1
O y=-2/3x+3
o y=-2/3x-1
0 y=-2/3x - 3

Answers

We have to find b

(-3,-1)m=-2/3

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto -1=\dfrac{-2}{3}(-3)+b[/tex]

[tex]\\ \sf\longmapsto -1=-2(-1)+b[/tex]

[tex]\\ \sf\longmapsto -1=2+b[/tex]

[tex]\\ \sf\longmapsto b=-3[/tex]

Now put in equation

[tex]\\ \sf\longmapsto y=\dfrac{-2}{3}x-3[/tex]

Option D

0


help!!


which are the answers??

Answers

B, D, E.

Step-by-step explanation:

Answer:

to me this is extremely simple a stitscal Quinton is a question that needs math or science or has a logical answer not one that has assumptions

Step-by-step explanation:

the answer is A) D) F) G) GOOD LUCK

-2 + 4k2 = -15 help pls

Answers

I got this…

not working at all.

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