what is the solution to the equation x^2-2x=-2

Answers

Answer 1

Step-by-step explanation:

[tex] {x}^{2} - 2x = - 2 \\ {x}^{2} - 2x + 2 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - ( - 2)± \sqrt{ {( - 2)}^{2} - (4 \times 1 \times 2)} }{2 \times 1} \\ x = \frac{2± \sqrt{ - 4} }{2} \\ x = \frac{2±2i}{2} \\ x = \frac{2 + 2i}{2} \: or \: \frac{2 - 2i}{2} \\ x = 1 + i \: \: or \: \: 1 - i \\ x = 1±i[/tex]


Related Questions

Circumference and Area questions look at the picture

Answers

Note that the formula for the circumference of a circle is πd, while the formula for the area of a circle is πr².

π≈3.14

A. C=πd

Simply plug in the numbers into the formula.

Diameter=Radius*2

17*2=34

C=34(π)

B. (π)(5²)

Plug in the numbers into the formula. Remember that half of the diameter is the radius.

C.  (π)(4.5)

There are two possible formulas that could be used to calculate the circumference of a circle: πd and 2πr.

The expression above is simply multiplying the circle's radius times pi. Therefore, it is not a method that could be used to find the circumference of a circle.

D. (π)(6.5²)

Remember that the formula for calculating the area of a circle is πr².

Half of the diameter is 6.5 (13.5/2=6.5). 6.5 cm. is the radius. Now just plug the numbers into the formula.

(π)(6.5²)

Therefore, the last answer choice is the correct answer.

PLEASE NO LINKS OR SITES!!!! JUST ANSWERS. THANK YOU!

Answers

Answer:2/16

Step-by-step explanation:

Answer:

= 64

do u need the working out?

Easy question first answer gets brainliest find 90% of 55​

Answers

Answer:

49.5

Step-by-step explanation:

90% of 55 is 49.5

What is the answer to this?

Answers

Answer:

b

Step-by-step explanation:

iam thinking it's b but let me know if I am rong

Please help. Will Mark brainly

Answers

Point B is tangent to the circle so the angle ABC would be 90 degrees.

John and Shawn are racing to see who can get his community service hours for scouting completed first. John, who has already completed 40 hours, plans to volunteer for 5 hours per week going forward. Shawn hasn't started yet, but plans to dedicate 15 hours per week to his volunteer project from now on. Before too long, the boys will be tied, with the same number of volunteer hours. How long will that take?

Answers

Answer:

John and Shawn spent the same number of hours after [tex]4[/tex] weeks.

Step-by-step explanation:

Number of hours already completed by John to his volunteer project [tex]=40[/tex] hours

Number of hours spent by John each week to his volunteer project [tex]=5[/tex] hours

Number of hours spent by Shawn each week to his volunteer project [tex]=15[/tex] hours

Suppose John and Shawn spent the same number of hours after [tex]x[/tex] weeks.

Therefore,

[tex]40+5x=15x[/tex]

[tex]40=15x-5x\\40=10x[/tex]

[tex]x=4[/tex] weeks.

So,

John and Shawn spent the same number of hours after [tex]4[/tex] weeks.

Quick, please!


If 2 answers will vote brainliest!

Answers

Answer:

Hello again! x = 85

Step-by-step explanation:

Because triangles are 180 degrees and

68 + 27 = 95 and 180 - 95 = 85 so our missing angle is 85 hope this helps!


Determine whether the triangle with the given side lengths is acute,
right, obtuse or not a triangle 3,8,15

Answers

Answer:

Step-by-step explanation:

Not a triangle, because the leg lengths 8 and 3 add up to 11, not to 15.

The sum of the leg lengths must be greater than the length of the 3rd side for a triangle to exist.

Find the area of the figure. Sides meet at right angles. No links please :)

Answers

Answer:

I hoped this helped.

Step-by-step explanation:

1. fined base shaped like rectangles and squares

2. find the area of those shaped using length times width

3. the the areas to find the area of the composite figure

Loagn used the net below to design a nylon tent

Answers

Answer:

Part A: The tent is shaped like a square pyramid

Part B: a 36ft tent

Step-by-step explanation:

Answer:

Step-by-step explanation:

i don’t know

9. Ximena made 26 out of 32 penalty kicks with her brother as the goalie.
A In simplest form, what fraction of the penalty kicks did Ximena make?
B. Write a decimal and a percent equivalent to the fraction of the penalty kicks that
Ximena made. Show
your
work

Answers

Answer:

26/32=13/16

Step-by-step explanation:

The two lines graphed below are parallel. How many solutions are there to the system of equations?

Answers

Answer:

C. Zero

Step-by-step explanation:

The solution of the system of equations would be the point where they intersect, but since these lines are parallel, they will never intersect, so therefore there are zero solutions.

Point P is at (3,-3) it undergoes the transformation (x - 2, y + 3). Where is P' at?​

Answers

Answer:

The coordinates of P' are [tex]P'(x,y) = (1, 0)[/tex].

Step-by-step explanation:

The coordinates of the point P' is determined by the following expression:

[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.

[tex]P'(x,y)[/tex] - Translated point.

[tex]T(x,y)[/tex] - Translation vector.

If we know that [tex]P(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-2, 3)[/tex], then the coordinates of point P':

[tex]P'(x,y) = (3, -3) + (-2, 3)[/tex]

[tex]P'(x,y) = (1, 0)[/tex]

The coordinates of P' are [tex]P'(x,y) = (1, 0)[/tex].

147 + 1025 % 16 * 2 =
help me plsssss

Answers

Answer:

275.125

Step-by-step explanation:

there you go

Create my own exponential word problem.

Please show work

Answers

The equation will be in the form =(3), since the base is 3. Plug in 4 for x and 162 for , and solve for :
= a(3)^x
162 = (3)^4
a =162/81=2 The equation is =2(3).

HELP ME I WILL HIVE U 5 stars ON IF ITS RIGHT PLZZZ !!!!!!!

Answers

Answer:

40

Step-by-step explanation:

The two angles form a right angle

A right angle has a measure of 90 degrees meaning that the sum of the two angles is 90

a + 50 = 90

90 - 50 = 40

Thus, a = 40

missing angle is (40⁰) :)

A.)17.5
B.)20
C.)18
D.)17

Answers

Answer: A

Step-by-step explanation: 35 / 2 = 17.5

Answer:

C. is correct

Step-by-step explanation:

i hope this helps :) brainliest please?

What is the first step to solving 8=2/3x

Answers

Answer:

the first step is to divide two by three x

Answer:

x = 12

Step-by-step explanation:

Eliminating the fractional coefficient would be a great start:

8 = (2/3)x becomes 24 = 2x after multiplication of both sides by 3.

Then x = 12

Alyssa is jogging near Central Park. She runs along 65th Street for about 0.19 miles, turns right and runs along Central Park West for about 0.28 miles. She then turns right again and runs along Broadway until she reaches her starting point. How long is her total run to the nearest hundredth of a mile?
A: 0.68 miles
B: 0.81 miles
C: 1.15 miles
D: 1.44 miles​

Answers

Answer:  B: 0.81 miles

Step-by-step explanation:

The find the total distance, you must look for firs the missing side. To get use the formula that is derived from the Pythagorean theorem which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

The formula for this is: a^2 + b^2 = c^2

So let the first side or a be .19

and the second side be .28

and now we are looking for c which is the missing side

.19^2 + .28^2 = c^20.0361 + 0.784 = .1145

get the square root of .1145

√.1145 = it is approximately 0.34

get the total distance by adding three sides

= .34 + .19 + .28

= 0.81

Answer:

0.68

Step-by-step explanation:

you got to multiply

Find a rational function that satisfies the given conditions. Answers may vary, but try to give the simplest answer possible:

Vertical asymptotes x = -4, x = 5;

x-intercept (-2, 0)

Answers

Answer:

[tex] \frac{x + 2}{ {x}^{2} - x - 20 } [/tex]

Step-by-step explanation:

Since the roots are -4 and 5, we can write that as

[tex](x + 4)(x - 5)[/tex]

Apply foil method to find our denominator.

We get

[tex] {x}^{2} - x - 20[/tex]

So that our denominator.

Since our denomiater gives us interger asymptote, our degree in our numerator must be 1 so the answer has to be a single interger or a single term.

Since our x intercepts is -2, we use

[tex](x + 2)[/tex]

So our rational denomiater is

[tex] \frac{x + 2}{ {x}^{2} - x - 20 } [/tex]

A community is building a square park with sides that measure 150 meters. To separate the picnic
area from the play area, the park is split by a diagonal line from opposite corners. Determine the
approximate length of the diagonal line that splits the square. If necessary, round your answer to
the nearest meter.

Answers

Answer:

212 meters

Step-by-step explanation:

The diagonal of a square is the square root of 2 times the length of the square. This can be rewritten as the square root of (2*area)

2 * 22500 = 45000

The square root of 45000 is about 212.13, which would round down to 212 meters.

Harry bought a broken motor scooter, fixed it, and sold the scooter for $150. That was $25 less than 2 times the amount he paid for it. Which equation can be used to find, p, the amount of money Harry originally paid for the scooter?

Answers

Answer:

p/2 - 25 = 150

Step-by-step explanation:

I'll try my best.

$150 would be the initial value, so we would use that for the base.

$25 less means subtract 25 dollars in this context.

2 times means multiply by 2.

"$150 was $25 less than 2 times the amount he paid for it ([tex]p[/tex])."

[tex]\frac{p}{2} -25 = 150[/tex]

If you were to solve this:

[tex]\frac{p}{2} -25 = 150[/tex]

[tex]\frac{p}{2} =175[/tex]

[tex]p=350[/tex]

The answer I get from the equation would be $350.

If you input 350 into it:

[tex]\frac{(350)}{2} -25[/tex]

[tex]175 -25[/tex]

[tex]150[/tex]

Answer:

P = 150 ÷ 2 - 25 = p

Step-by-step explanation:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

Given: Harry bought a broken motor scooter, fixed it, and sold the scooter for $150. $25 less than 2 times the amount he paid for it.

To find: Which equation can be used to find, p, the amount of money Harry originally paid for the scooter?

Solution: It says; "That was $25 less than 2 times the amount he paid for it"

With that said, find the amount that is 2 times more than 150. To find that, the opposite of times is division, so divide 150 by 2

[tex]150[/tex] ÷ [tex]2 =[/tex] [tex]75[/tex]

Now that has been found, the next thing to find is $25 less, less means subtract. To calculate the amount Harry originally paid for the scooter, subtract 25 from 75

[tex]75 - 25 = 50[/tex]

Therefore, the amount of money Harry originally paid for the scooter is $50

Hence, the equation can now be found as; P = 150 ÷ 2 - 25 = p

How would you prove that QRST is a rectangle?

Answers

-All angles are congruent
-the longer sides are parallel and the shorter sides are parallel

-a-b³+ab if a=-3 and b=2

Answers

Answer:

-11

Step-by-step explanation:

Lets rewrite the equation with the values

-(-3) - 2³ + ab

3 - 8 + (-3*2)

-5 + -6 = -11

-11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

-11

Step-by-step explanation:

Simply plug in a=-3 and b=2 into the equation provided. Remember the signs (+/-) and be careful with your calculations.

-(-3) - (2)^3 + (-3)(2)  = -11

Ariana wants to buy a house in a few years. She spends $100 a month on takeout coffee. She spends $200 a month on fast food. What can she do to save money for her house?

Answers

Answer:

Hm, if Ariana wants to save money for her house, she should spend less money on fast food a month because if she spending $100 dollars for takeout coffee and spending at the same time a month for fast food. she should eat less fast food and less money for coffee because she would be spending way too much money because F = $200 and C = $100 dollars, so $200 + $100 dollars would be $300 dollars a month. she could still have takeout coffee however, not every month. The fast food needs to be taken out of her diet as well because its the fact its unhealthy and costing her way too much money, she should stop having fast food and not have coffee or the fast food EVERY MONTH, she could have the fast food evert 5 months and her takeout coffee every once a month. hopefully this helps ^^

Answer:

Step-by-step explanation:

Hiroki's mom is worried he is not saving enough. She says he should save some money for an emergency. He says he can use his credit card in an emergency. Who is right

ASAP PLS EXPLAIN THE STEPS LIKE THE INSTRUCTIONS ON THTE SLIDE

Answers

Answer:

176 cm

Step-by-step explanation:

Area of a triangle = h b/2

8 * 11 ÷ 2 = 44 cm

Area of a rectangle = l * w

12 * 11 = 132 cm

Add both areas together

44 + 132 = 176 cm

Out of every 6 students surveyed, 1 listens to country music. At this rate, how many students in a school of 1,200 listen to country music?​

Answers

Answer:

200 students

Step-by-step explanation:

1200/6 = 200

200x1= 200 students

Answer:

200!

Step-by-step explanation:

1/6=x/1200 and i have to rite an explanation but thats all so yea! hope this helped

Plans for a
rectangle-shaped garden will include a
2-foot wide cement walkway surrounding it,
as shown in the picture below.

Answers

Answer:

You don't have a picture

Step-by-step explanation:

Answer:

Hmmm the picture....? Please send it

Please help! -- Very Easy--

Answers

Answer: 60

8x15 / 2

Step-by-step explanation:

Answer:

40 units

Step-by-step explanation:

Using Pythagoras Theorem to find the hypotenuse:

[tex] \sqrt{ {15}^{2} + {8}^{2} } [/tex]

[tex] = \sqrt{289} [/tex]

= 17 units

The perimeter

= 15+8+17

= 40 units

pleassssssssssseeeeeeeee help

Answers

The correct answer is A
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