HELP NEEDED ASAP. "ONLY ANSWER IF YOU KNOW THE ANSWER"
Solve the equation by completing the square.
x^2 + 10x= -81

HELP NEEDED ASAP. "ONLY ANSWER IF YOU KNOW THE ANSWER"Solve The Equation By Completing The Square. X^2

Answers

Answer 1

Answer:

x =-5±  2i sqrt(14)

Step-by-step explanation:

x^2 + 10x= -81

Take the coefficient of x and divide by 2

10/2 = 5

Square it

5^2 =25

add to each side

x^2 + 10x+25 = -81+25

( x+5) ^2 = -56

Take the square root of each side

sqrt(( x+5) ^2) =± sqrt(-56)

x+5 = ± sqrt(-1) sqrt(4*14)

x+5 =± i sqrt(4)sqrt(14)

x+5 =± i 2 sqrt(14)

Subtract 5 from each side

x+5-5 =-5± i 2 sqrt(14)

x =-5±  2i sqrt(14)


Related Questions

What is the perimeter of a hexagon with a side length of 31cm?

Answers

Answer:

186cm im pretty sure

Step-by-step explanation:

Answer:

The perimeter is 186 centimeters.

Step-by-step explanation:

The perimeter is the combination of all the side lengths of a figure. So, to figure this one out, it would be:

31 + 31 + 31 + 31 + 31 + 31

Or in simpler terms:

31 times 6.

All you need to do is multiply, and the answer comes out to 186cm

The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog.
If the veterinarian gives a 30-pound dog 5 milligram of the medicine, which equation relates the weight, w, and the
dosage, o?

Answers

Question: The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30-pound dog 3/5 milligram of the medicine, which equation relates the weight,w, and the dosage, d?

Answer: d= 1/50w

Explanation: I took the test in Edgenuity.

Hope this helps!

What makes a function

Answers

A function is a expression that defines a relationship between one variable and another variable

Answer:

a relation of X to Y, if one element from X is equal to one element from Y.

Step-by-step explanation:

a function in which one thing from X is equal to one thing from Y...

Help! I’ll mark you brainly and give extra points!!

Answers

Its in the file.

Hope it helps ;)

What is | -8|
—16
-8

8
16

Answers

Answer:

8

Step-by-step explanation:

scince it has the lines that mean that it will always be positive.

Answer:

8

Step-by-step explanation:

Have a nice day!

A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period.
Single Policyholders Married Policyholders
n1 = 500 n2 = 800
Number making claims = 95 Number making claims = 80
(a) Use a level of significance a = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. Explain your determination.
(b) Provide a 95% confidence interval for the difference between the proportions for the two populations.

Answers

Answer:

a

The  determination is  

    There is sufficient to conclude that proportion of the single policy

b

  The 95% confidence interval is  [tex] 0.0498    < p_1 - p_2 < 0.1302 [/tex]  

holders is difference from the proportion of married policy holders

Step-by-step explanation:

From the question we are told that

The sample size for single policy holders is [tex]n_1 = 500[/tex]

The number of single police holders making claim is k = 95

The sample size for married policy holders [tex]n_2 = 800[/tex]

The number of double police holders making claim is u = 80

The level of significance is [tex]\alpha = 0.05[/tex]

Generally the critical value of [tex]\frac{\alpha }{2}[/tex] obtained from the

normal distribution table is

[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

The null hypothesis is [tex]H_o : p_1 = p_2[/tex]

The alternative hypothesis is [tex]H_a : p_1 \ne p_2[/tex]

The sample proportion of single police holders making claim is

[tex]\r p_ 1 = \frac{k}{n_1}[/tex]

=> [tex]\r p_ 1 = \frac{95}{500}[/tex]

=> [tex]\r p_ 1 = 0.19[/tex]

The sample proportion of married police holders making claim is

[tex]\r p_ 2 = \frac{u}{n_2}[/tex]

=> [tex]\r p_ 2 = \frac{80}{800}[/tex]

=> [tex]\r p_ 2 = 0.1[/tex]

Generally the pooled sample proportion is mathematically represented as

[tex]\r p = \frac{k + u}{n_1 + n_2}[/tex]

=> [tex]\r p = \frac{95 + 80}{500 + 800}[/tex]

=> [tex]\r p = 0.1346 [/tex]

Generally the test statistics is mathematically represented as

[tex]z = \frac{\r p_1 - \r p_2 }{ \sqrt{ \r p (1 - \r p )* [\frac{1}{n_1} + \frac{1}{n_2} ]} }[/tex]

=> [tex]z = \frac{0.19 - 0.1 }{ \sqrt{0.1346 (1 - 0.1346 )* [\frac{1}{500} + \frac{1}{800} ]} }[/tex]

=>[tex]z = 4.6256 [/tex]

Generally the p-value is mathematically represented as

[tex]p-value = 2* P(Z >4.6256 )[/tex]

From the z table [tex]P(Z >4.6256 ) = 0 [/tex]

[tex]p-value = 2* 0 = 0[/tex]

From the calculation we see that the p-value < [tex]\alpha[/tex] so the null hypothesis is rejected

Hence there is sufficient to conclude that proportion of the single policy holders is difference from the proportion of married policy holders

Generally the standard error is mathematically represented as

[tex]SE = \sqrt{ \frac{\r p_1 (1 -\r p_1)}{n_1} + \frac{\r p_2 (1 -\r p_2)}{n_2} }[/tex]

=> [tex]SE = \sqrt{ \frac{0.19 (1 -0.19)}{500} + \frac{ 0.1 (1 - 0.1)}{800} }[/tex]

=> [tex]SE =0.0205012[/tex]

Generally the margin of error is mathematically represented as

[tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]

=> [tex]E = 1.96 *0.0205012 [/tex]

=> [tex]E = 0.0402035[/tex]

Generally the 95% confidence level is mathematically represented as

[tex]\r p_1 - \r p_2 - E < p_1 - p_2 < \r p_1 - \r p_2 + E[/tex]

=> [tex]0.19  - 0.10 -0.0402035    < p_1 - p_2 < 0.19  - 0.10 + 0.0402035  [/tex]

=>  [tex]0.09 -0.0402035    < p_1 - p_2 < 0.09 + 0.0402035  [/tex]

=> [tex] 0.0498 < p_1 - p_2 < 0.1302 [/tex]


Complete the statements.

8.703 dekagrams =_____
kilograms
100.3
_____= 10.03 hectometers
909.9
_____= 90,990 centiliters

Answers

Step-by-step explanation:

1. 0.08703 killograms

2. Decameters

3. Liters

Answer:1. 0.08703 killograms

2. Decameters

3. Liters

Step-by-step explanation:

when three or more numbers are multipiled the product is the same regardless of the order of the multiplicands ​

Answers

Answer:

Associative property of multiplication.

Step-by-step explanation:

Given m || n, find the value of x and y.
(3x-4)
(6x-5)

Answers

Answer:

X=21 and Y=121

Step-by-step explanation:

With these types of problems, we need to know our vertical angles and that lines are 180° when two angles on a line are next to each other.

To solve this problem algebraically we want to add (3x-4)  and (6x-5) together so that they equal 180. The reason we do this is that they lie on the same line which is 180°. The equation would look like [tex]3x+6x-5-4=180[/tex]. We then want to add like terms which will leave us with [tex]9x-9=180[/tex]. Now we want to get 9x by itself by adding 9 on each side which leaves us with [tex]9x=189[/tex]. To isolate x we need to divide on each side by 9 which finally leaves us with [tex]x=21[/tex]

Now that we have the value of x (21) we can now utilize our knowledge of vertical angles (angles that are completely across and equal to one another.) We can find y by doing this equation: [tex]y=6x-5[/tex] and with the value of x found we can plug in the value to get [tex]y=6(21)-5[/tex] which simplifies to [tex]y=126-5[/tex] then to [tex]y=121[/tex].

If Georgina travels 455 km in 7 hours how far will she travel in 9 hours at the same rate

Answers

585:)) 455\7=65 65•9=585

Answer:

585 km

Step-by-step explanation:

rate of speed formula: distance/time

455/7=65

65*9=585

Please write down the steps.

Answers

Answer:

are you beginer band

Josie buys o purse that costs $64.95. If the sales tax is 5.5%, what is the cost of the tax.​

Answers

Answer:

3.57

Step-by-step explanation:

64.95×5.5/100=3.57

Match each part of this algebraic expression with its appropriate description 12.1x - 4.7y + 6x + 1/6

Answers

Answer:Terms, like terms, constant(s),Variable (s),Coefficient(s)

Step-by-step explanation: 18.1x,4.7 and 1/6=Terms

The matched part with the respective appropriate description:

1) x and y → Variable(s)

2) 1/6 →  Constant(s)

3) 12.1, 4.7, and 6 →  Coefficient(s)

4) 12.1x and 6x →  Like Terms

5) 12.1x, 4.7y, and 1/6 →  Terms

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

We have the algebraic expression,

12.1x - 4.7y + 6x + 1/6.

From the definition,

x and y are the two variables.

And 12.1, 6 and -4.7 are the numbers in front of the variables.

So, 12.1, 6 and -4.7 are the coefficients.

And 1/6 is the constant.

So, 1) x and y → Variable(s)

2) 1/6 →  Constant(s)

3) 12.1, 4.7, and 6 →  Coefficient(s)

4) 12.1x and 6x →  Like Terms

5) 12.1x, 4.7y, and 1/6 →  Terms

Therefore, each part of the algebraic expression matched with its appropriate description.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ3

Consider the figure below. Line FG is parallel to line JK.
Part A:Solve for a justify your answer
Part B:Determine m< FNT
Part C:Determine m

Answers

Answer:

A. a = 10

B. m<FNT = 120°

C. m<KTU = 60°

Step-by-step explanation:

A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:

(7a + 50)° = (14a - 20)°

Use this equation to find the value of a

7a + 50 = 14a - 20

Combine like terms

7a - 14a = - 50 - 20

-7a = -70

Divide both sides by -7

-7a/-7 = -70/-7

a = 10

B. m<FNT = (14a - 20)° (alternate interior angles are congruent)

Plug in the value of a

m<FNT = 14(10) - 20

m<FNT = 140 - 20

m<FNT = 120°

C. m<KTU + (14a - 20)° = 180° (linear pair)

Plug in the value of a

m<KTU + 14(10) - 20 = 180

m<KTU + 120 = 180

m<KTU + 120 - 120 = 180 - 120

m<KTU = 60°

g(x) = 30x + 5

h(x) = 10x – 15

Find h(–3) + g(–5)

Answers

Answer:

The answer is: -190

Step-by-step explanation:

First, you need to input the -3 into the h(x) equation as follows:

h(-3) = 10(-3) - 15, then solve.

h(-3) = -30 - 15

h(-3) = -45.

Then you do the same for g(-5).

So, g(-5) = 30(-5) + 5

g(-5) = -150 + 5

g(-5) = -145.

Now you add the -45 and -145.

h(-3) + g(-5) = -45 - 145

h(-3) + g(-5) = -190.

Solve for p. 3/5(p - 3) = -4

Answers

Answer:

p = 3.6666(repeating)

Step-by-step explanation:

3/5(p-3)=-4

We simplify the equation to the form, which is simple to understand  

3/5(p-3)=-4

Simplifying:

+ 0.6*(p-3)=-4

Reorder the terms in parentheses

+( + 0.6p-1.8)=-4

Remove unnecessary parentheses

+ 0.6p-1.8=-4

We move all terms containing p to the left and all other terms to the right.  

+ 0.6p=-4+1.8

We simplify left and right side of the equation.  

+ 0.6p=-2.2

We divide both sides of the equation by 0.6 to get p.  

p=-3.66666666667

please help! Will mark you as BRAINLIEST!!!!!

Answers

Answer:

2x²-2x+5y doing the math reply if you need explanations

2x^2-2x+5y is the answer

=2 2/5 x 4 (What is the answer?)

Answers

Answer:

um 22 /20

is the question

if it's the case of factorised

than answer is 11/10

Answer:

48/5

Step-by-step explanation:

I will assume that you mean [tex](2\frac{2}{5}) \cdot 4[/tex].

This is equivalent to [tex](\frac{12}{5}) \cdot 4 = \boxed{\frac{48}{5}}[/tex]

The force exerted by a pulley is the sum of the tension and the force of gravity. Since a pulley is used to lift something, the force is negative. The tables show the tension, T(m), and the force of gravity, G(m), for objects of various masses, m in grams, all accelerating upward at 2.5 m/s2.
The force of the rope is equal to the negative of the tension on the rope and the force of gravity.
Which table shows the values when combining the functions to find the force of the rope?

Answers

Answer:

B

Step-by-step explanation:

To answer this question, we can just pick a couple of points and see which table gives the correct values.

Test Value 1)

Let's let m be 0.5.

So, our output will be:

[tex]-(T(0.5)+G(0.5))[/tex]

From our original tables, we know that T(0.5) is 1.25 and G(0.5) is 4.9. So:

[tex]=-(1.25+4.9)[/tex]

Add:

[tex]=-6.15[/tex]

So, when m is 0.5, our output should be -6.15.

The only choice that does this is B. So, B is our correct answer!

However, let's do another test point just to confirm.

Test Value 2)

Let's let m be 1.2.

So, our output will be:

[tex]-(T(1.2)+G(1.2))[/tex]

From our original table, we know that T(1.2) is 3 and G(1.2) is 11.76. So:

[tex]=-(3+11.76)[/tex]

Add:

[tex]=-14.76[/tex]

The only choice that does this is B. So, we are confident that B is our answer.

And we're done!

Answer:

B

Step-by-step explanation:

Julie recently drove to visit her parents who live 567 miles away. On her way there her average speed was 16 miles per hour faster than on her way home (she ran into some bad weather). If Julie spent a total of 18 hours driving, find the two rates.

Answers

Answer:

Was there some missing information as if you do 16*18 you get 288 miles

Step-by-step explanation:

What does v equal? ;-;

Answers

Answer:

v=-3

Step-by-step explanation:

-1=1/3v

-1*3=v

-3=v

Answer:

Step-by-step explanation:

[tex]-1 = \frac{1}{3} v[/tex]

Multiply by 3

[tex]-3 = v[/tex]

Write the absolute value of each number. 1. -2/8 2. 3 ¾

Answers

0.25 and 3.75 just simplify and that’s kinda it

Find the equation of the line using the given information.
(x, y) = (-3,0) and (x, y) = (-3, 5) are points on the line

Pls help

Answers

Answer:

x 1 = -3  

x2 = -3

y1 = 0

y2 = 5

The slope of that equation is infinite and the equation is a perfectly vertical line at x = -3.

So, the equation is x = -3.

Step-by-step explanation:

Given parameters:

The coordinates of points on the line;

  (x, y) = (-3,0) and (x, y) = (-3, 5)

Unknown;

The equation of the line = ?

The equation of a line is usually expressed in the form y = mx + c

  Where;

     y and x are the coordinates

      m is the slope

      c is the y-intercept

Now we need to first find the slope of the line.

    Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]  

       (x₁, y₁) = (-3,0) and (x₂, y₂) = (-3, 5)

Input the parameters and solve;

     Slope = [tex]\frac{5 - 0}{-3 -(-3)}[/tex]   = infinity

The line has an infinite slope.

The equation of the line is therefore x  = c

         x  = -3

What is qualitative data? Give an example.

Answers

Answer:

it is data that you can see or describe such as he is a boy

Step-by-step explanation:

The problem
divided by
appeared on a recent test. The problem was done incorrectly. Identify one error that the student made. Identify an additional error, different from your answer in Part A, that the student made.

Part C:
Write a complete sentence to explain how the two errors can be corrected.

Answers

Answer:

Step-by-step explanation:

In the given division, when 24.725 is divided by 215,

Step 1 is the wrong step.

Quotient in first step will be 0.1 .

Part C.

215) 24.725 (0.115

      215

          322

          215

           1075    

           1075

                0

Therefore, the correct way to divide should be as agove.

Quotient after division should be 0.115.

answer pls , pls dont answer for points , ill report if u do ( btw will mark brainlest if right )

Answers

Answer:

Step-by-step explanation:

First you would find what the difference is between the school enrollment

you would do 1456 - 1234 =  222

Then you would divide 1234/1456 = 84.75% to see the total percentage

The increase however has a percentage of .18%

To check your work you would do .18 x 1234 = 222.12 ( round to the nearest whole number so it would just be 222) then add 1234+ 222 = 1456!

Answer:

you must hvae did it im so srry

Step-by-step explanation:

i never get brainlist so thanks anyways..... :(

If a varies inversely with b, and a=20 when b=14, find the equation that relates a and b.

Answers

Answer:

ab = 280

or

a = 280/b

Step-by-step explanation:

Inverse variation is of the form

xy = k

Since we have a and b as our variables

ab = k

20 *14 = k

280 = k

ab = 280

Sometimes they write it as

a = 280/b

a man spent 58% of his income and the amount of money left was $210. Find his income​

Answers

Answer:

500 $

Step-by-step explanation:

[tex]\frac{42\%}{210}=\frac{100\%}{x}[/tex]

[tex]\frac{\frac{21}{50}}{210}=\frac{1}{x}[/tex]

[tex]\frac{21}{50}x=210\\[/tex]

[tex]\frac{21}{50}x\cdot \:50=210\cdot \:50\\[/tex]

x=500

<3

Red

find the value of x. The answer is 53, but I need to show my work.

THANK YOU!!!

Answers

Answer:

53

Step-by-step explanation:

so first sutract the large angle from 360:

360 - 213 = 147

then subtract the other large known angle:

147 - 107 = 40

now we know the x - 13 = 40 so to find x we just have to add 13:

40 + 13 = 53

The answer to the question is 53.

Can someone help on the whole page please... really need help

Answers

Answer:

See attached

Step-by-step explanation:

The answer filled in the paper, refer to attachment

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