HELP...... rewrite the equation by completing the square.
x ^2 +10x+16=0

HELP...... Rewrite The Equation By Completing The Square.x ^2 +10x+16=0

Answers

Answer 1

Answer:

[tex](x+5)^{2} = 9[/tex]

Step-by-step explanation:

To complete the square you need to add [tex]\frac{b}{2}^{2}[/tex]to both sides. (Parenthesis around b/2)

b = 10

b/2 = 5

(b/2)^2 = 25

[tex]x^{2}[/tex] +10x + 16 = 0

subtract 16 to both sides

[tex]x^{2}[/tex] + 10x = -16

add 25 to both sides

[tex]x^{2}[/tex] +10x + 25 = 9

Perfect Square Trinomial Factoring

[tex](x+5)^{2}[/tex] = 9


Related Questions

A. A car travels 20 m/s and reached its destination in a record time of 10 secs. Calculate the distance

travelled by the car.​

Answers

the car travelled 200 meters

20 m/s times 10 = 200 m in 10 s

A cell phone is 84 mm long and 46 mm wide. What is the ratio of the widty to the length?​

Answers

Answer:

23/42

Step-by-step explanation:

width/length

46/84

=23/42

23:42

=.5476

The ratio of the width to the length of the cell phone will be 42: 23.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

A cell phone is 84 mm long and 46 mm wide.

Then the ratio of the width to the length will be calculated by the division of the number 84 by 46. Then we have

⇒ 84 / 46

⇒ 42 / 23

The ratio of the width to the length of the cell phone will be 42: 23.

More about the ratio and the proportion link is given below.

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I NEED HELP LIKE ASAP PLS WILL GIVE 25 POINTS IF CORRECT PLS NEED ANSWER NOW(ONLY IF CORRECT THO)
Determine the probability of landing on blue. Write your answer as a fraction, decimal, and percent. Show your work! Be ready to discuss your answer. *

Answers

Answer: 3/12  3 blues and 12 colors in total i dont know how to explain sorry

Answer:

Hills, mountains and rivers are example of ------------------ features

what is the volume of a cube with 2 1/4 inch sides

Answers

Answer:11.39

Step-by-step explanation:

what is the elasped time between 1:35 and 6:00

Answers

Answer:

4 hours 25 minutes

Step-by-step explanation:

subtract 1.35 from 6.00 and recall that 60 minutes make one hour. = 6.00 - 1.35. = 4.25

Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two distinct negative, integer solutions. What is the sum of all of the distinct possible integers that could be under the ink stain

Answers

Answer:

[tex]Sum = -81[/tex]

Step-by-step explanation:

See the comment for complete question.

Given

[tex]c = 36[/tex] ----- Constant

No coefficient of x^2

Required:

Determine the sum of all distinct positive integers of the coefficient of x

Reading through the complete question, we can see that the question has 3 terms which are:

x^2 ---- with no coefficient

x ---- with an unknown coefficient

36 ---- constant

So, the equation can be represented as:

[tex]x^2 + ax + 36 = 0[/tex]

Where a is the unknown coefficient

From the question, we understand that the equation has two negative integer solution. This can be represented as:

[tex]x = -\alpha[/tex] and [tex]x = -\beta[/tex]

Using the above roots, the equation can be represented as:

[tex](x + \alpha)(x + \beta) = 0[/tex]

Open brackets

[tex]x^2 + (\alpha + \beta)x + \alpha \beta = 0[/tex]

To compare the above equation to [tex]x^2 + ax + 36 = 0[/tex], we have:

[tex]a = \alpha + \beta[/tex]

[tex]\alpha \beta = 36[/tex]

Where: [tex]\alpha, \beta <0[/tex] and [tex]\alpha \ne \beta[/tex]

The values of [tex]\alpha[/tex] and [tex]\beta[/tex] that satisfy [tex]\alpha \beta = 36[/tex] are:

[tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]

[tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]

[tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]

[tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]

So, the possible values of a are:

[tex]a = \alpha + \beta[/tex]

When [tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]

[tex]a = -1 - 36 = -37[/tex]

When [tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]

[tex]a = -2 - 18 = -20[/tex]

When [tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]

[tex]a = -3 - 12 = -15[/tex]

When [tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]

[tex]a = -4 - 9 = -13[/tex]

At this point, we have established that the possible values of a are: -37, -20, -15 and -9.

The required sum is:

[tex]Sum = -37 -20 -15 - 9[/tex]

[tex]Sum = -81[/tex]

emily is entering a bicycle race for charity. Her mother pledges $0.40 for every 0.25 mile she bikes. If Emily bikes 15 miles, how much will her mother donate?

Answers

Answer:

$25.60

Step-by-step explanation:

To find how much money will be donated, we find how many 0.25's there are in 16 and multiply that by $0.40.

16/0.25=64

64*0.4=25.6

$25.60

Answer:

thanks

Step-by-step explanation:

What does 253.7 / 6 equal ?

Answers

The answer is 42.283.

The manager of a customer support center takes an SRS of 40 reported issues and finds that 22% of the sampled issues required more than one call to resolve. The manager may take an SRS like this each month. Suppose that it is really an average of 25% of the approximately 1000 issues reported per month that require more than one call.


Let represent the proportion of a sample of 40 reported issues that require more than one call to resolve. What are the mean and standard deviation of the sampling distribution of p?

Answers

Answer:

The mean of the sampling distribution of p is 0.25 and the standard deviation is 0.0685.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

25% of the approximately 1000 issues reported per month that require more than one call.

This means that [tex]p = 0.25[/tex]

What are the mean and standard deviation of the sampling distribution of p?

Sample of 40 means that [tex]n = 40[/tex].

By the Central Limit Theorem,

The mean is [tex]\mu = p = 0.25[/tex]

The standard deviation is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.25*0.75}{40}} = 0.0685[/tex]

The mean of the sampling distribution of p is 0.25 and the standard deviation is 0.0685.

Please help meeeeee!

Answers

Answer:

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Step-by-step explanation:

The top one should be 120

A laundry basket has 24 t-shirts in it. Four are navy,
12 are red, and the remaining are white. What is the probability of selecting a green shirt
What is the probability of selecting a green shirt

Answers

Answer:

The probability is of selecting a green shirt is 8

Step-by-step explanation:

24 - 4 = 20

20 - 12 = 8

The probability of not selecting a white shirt is 2/3.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that a laundry basket has 24 t-shirts 4 are navy 12 are red and the rest are white

We have to find the probability of not selecting a white shirt

Total number of shirt's= 24

navy = 4

red = 12

white = 24 - ( 4+12)= 8 white shirts

number of shirts that are not white = 16

Therefore the probability of not selecting a white shirt = 16/24

= 2/3

Hence, the probability of not selecting a white shirt is 2/3.

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A laundry basket has 24 t-shirts 4 are navy 12 are red and the rest are white what is the probability of not selecting a white shirt

Please help! Thank you!

Answers

Answer:

[tex] \huge \boxed{ \boxed{ \sf \: y = x + 15}}[/tex]

Step-by-step explanation:

to understand thisyou need to know:linear equationlinear equation word problemsPEMDAStips and formulas:linear equation:y=mx+blet's solve:

all we need to care about the middle condition which is

the new test score is 15 points more than the original score

given that

original score is x

New score is y

if you pay attention to the given condition

we can find it same as linear equation

therefore

according to the question

the equation is

y=x+15

does anyone know how to do this?

Answers

Answer:

90

Step-by-step explanation:

77degrees is one half of the side if see the line is exactly straight aplogies if i'm wrong

what is the answer to 8221 - 2974

Answers

The answer: 8221 - 2974 = 5274

Answer:
5247

Explanation:
Calculator

what is 12x34(234)+123x234

Answers

Answer:

it's 124,254

Step-by-step explanation:

34 x 234 = 7,956

12 x 7956 = 95,472

123 x 234 = 28,782

95,472 + 28,782 = 124,254

hope that helps...

Consider the graph of (x+3)2 + (y-2)2 > 1. Which point could confirm the graph is shaded correctly?

O (-4,2)
O (-3,5)
O (-3, 1)
O (-2,2)

Answers

Answer:

c) (-3, 1)

Step-by-step explanation:

It's the only point that is not on the border of the graph.

The point could confirm the graph is shaded correctly is (-3, 1)

The correct option is (C).

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

[tex]\frac{\left(x\ +3\ \right)^{2}}{1}\ +\ \frac{\left(y-2\right)^{2}}{9} > 1[/tex]

As, per the graph attached below we can see that the small part is not shaded other than that part whole part is shaded.

Hence, the point could confirm the graph is shaded correctly is (-3, 1).

Learn more about graph here:

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. The expression (x22)( x 7)3 is equivalent to xD. What is the value of p?

Answers

the value of p is (x22)(3x•21)

A jellyfish travels 3/5 mile in 1/6 hour and a walrus travels 5/6 mile in 3/10 hour.

Answers

Answer:

The jellyfish travels faster than the walrus

Step-by-step explanation:

Given data

A jellyfish travels 3/5 mile in 1/6 hour

Distance= 3/5 mile

time= 1/6 hour

speed= distance/time

speed= 3/5/1/6

speed= 3/5*6/1

speed= 18 mile per hour

a walrus travels 5/6 mile in 3/10 hour.

Distance= 5/6 mile

time= 3/10 hour.

speed= distance/time

speed= 5/6/3/10

speed= 5/6*10/3

speed= 50/18 mile per hour

Answer:
the first answer is 3 3/5
the second answer is 2 7/9
the third answer is “greater than” and then “jellyfish”

Ur welcome

Family
The tree diagram shows the sample space for the
possible genders of three children in a family, in order
of age.
How many outcomes are in the sample space?
G
B
G
B
G
B
GB
GB
GB
GB
Done
Intro

Answers

Answer:

8

Step-by-step explanation:

I took assignment. Please mark brainliest

16/4 divided by 32/1

Answers

First of all, observer that 16/4=4

Secondly, 32/1=32 because everything divided by 1 is itself.

Now the question is 4/32

We divide 4 from both top and bottom.

getting 1/8

(4 1/4x + 8) + (-1 1/2x - 12)

Answers

Answer:

(19x-290)/(4(x+2)(x-6)

Step-by-step explanation:

Apply Fraction Rule:

(41)/(4x+8)-(11)/(2x-12)

Factor:

(41)/4(x+2)-(11)/(2x-12)

Factor:

(41)/4(x+2)-(11)/2(x-6)

LCM:

(41)(x-6)/(4)(x+2)(x-6)-(22(x+2))/(4)(x+2)(x-6)

Expand:

= (19x-200)/4(x+2)(x-6)

Find the area. Simplify your answer.
x-5
6

Answers

Answer:

6x-30

Step-by-step explanation:

Just multiple like this (6)(x-5)

For many years businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to less inflation in health care prices and employees paying for a larger portion of health care benefits. A recent Mercer survey showed that of U.S. employers were likely to require higher employee contributions for health care coverage in 2009. Suppose the survey was based on a sample of companies. Compute the margin of error and a confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage in 2009. The margin of error: (to 4 decimals) The confidence interval: ( , ) (to 4 decimals)

Answers

Answerthey die

Step-by-step explanation:

hhhah

area of 10 and 7 in square inches

Answers

Answer:

70 sq. in

Step-by-step explanation:

7*10=70

sorry if im wrong

Reasoning : The equation below describes a proportional relationship between x and y. What is the
constant of proportionality? Use pencil and paper. Explain why your answer is called the "constant of
proportionality."
y = 7.87x

Answers

Answer:

The constant of  proportionality is 7.87.

Step-by-step explanation:

The relation between x and y is given by the equation :

y = 7.87x

y is directly proportional to x i.e.

y ∝ x

To remove the constant of proportionality, a constant 7.87 is inserted. Hence, the constant of  proportionality is 7.87.

A researcher records the repair cost for 8 randomly selected washers. A sample mean of $60.46 and standard deviation of $18.36 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the washers. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer:

The critical value is T = 1.895.

The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 8 - 1 = 6

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.895, which is the critical value.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.895\frac{18.36}{\sqrt{8}} = 12.301[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 60.46 - 12.301 = $48.159

The upper end of the interval is the sample mean added to M. So it is 60.46 + 12.301 = $72.761

The 90% confidence interval for the mean repair cost for the washers is between $48.159 and $72.761

7. A restaurant owner wants to see if there is a relationship between the amount of

sugar in some food items on her menu and how popular the items are.

She creates a scatter plot to show the relationship between amount of sugar in menu

items and the number of orders for those items. The correlation coefficient for the

line of best fit is 0.58.

a. Are the two variables correlated? Explain your reasoning.

b. Does either of the variables cause the other to change? Explain your reasoning.

Answers

Answer:

a) Yes, the two variables correlated

b) Yes, variation of sugar changes the number of orders for item containing sugar

Step-by-step explanation:

a) Yes the two variables are moderately co-related as the value of co-relation lies between 0.5 and 0.7

b) Yes the variation in amount of sugar leads to variation in the number of orders with sugar.

Triangle ABC and Triangle DEF are similar. Find the unknown measures. (t = ? and u = ?)

Answers

t= 60°


It is an equilateral triangle which means all sides and angles are equal


u= 10m

It is an equilateral triangle which means all sides and angles are the same


Lori wants to buy the same number of pencils and pens for school this year. Pencils comes in packs of 16, and pens come in packs of 4. What is the least number of packs of each she could buy? 8103 4 packs of pencils and 1 pack of pens 1 pack of pencils and 4 packs of pens the 1 pack of pencils and 1 pack of pens 4 packs of pencils and 4 packs of pens SUBMIT​

Answers

Answer:

pencils=16

pen= 4ijsjh

Bugz

hheh7twh556

US 3ju7hutwbh67s

Nigeria is a bad country my name

is Hanna and I am from the USA

I am from Arizona

juhusjyrs hfah its

I need help on this pleasee

Answers

Answer:

-8/65 is the answer ......................

-8/65 is your answerr
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