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

An inequality is like an equation, but instead of an equal sign (=) it has one of these signs: ______________, _______________ , ________________, _____________.

Answers

Answer:

An inequality sign is like an equal sign with a line through it

so, like, if you put = and / together

Answer:

<, >, =>, =<

Step-by-step explanation:

im falling asleep at the kitchen table bc i have not slept in 3 days and i cant go to bed until its 8 or 9 and its 5:56pm ughhh

Answers

Answer:

I hope u can sleep more

Step-by-step explanation:

Answer:

ohhhhhhh

Step-by-step explanation:

yea that sucks but why can't you go to bed until 8-9?????

The sum of 3 and
twice the number n

Answers

3x2= 6 so it’s 6 which is equal to n

A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 3,000. In year 4, the population was 4,320.

The explicit rule for the geometric sequence is aₙ =

Answers

Step-by-step explanation:

i guess math is the hardest subject

Answer:

The answer is aₙ = 2,500 (6/5)^n-1

Hope i helped, have a wonderful day! :D

Question 11
Rhonda deposits $5,600 in a savings account that pays 1.36% Interest, compounded semiannually. What is the balance after the first 9 months?

Answers

Answer:

follow me please and give thanks

can you help me solve this plz?

Answers

Answer:

x=5.6  y=4.8

Step-by-step explanation:

The answer is X=5.6 y= 4.8

Is 13:15 and 30:26 a pair of equivalent ratios and why?

Answers

Given:

The two ratios are 13:15 and 30:26.

To find:

Whether the given ratios are equivalent or not.

Solution:

Two ratios are equivalent if the values of the ratio are equal after simplification.

[tex]13:15=\dfrac{13}{15}[/tex]

And,

[tex]30:26=\dfrac{30}{26}[/tex]

[tex]30:26=\dfrac{15}{13}[/tex]

[tex]30:26=15:13[/tex]

The first ratio is 13:15 and the value of second ratio after simplification is 15:13 both ratios are different, so,

[tex]\dfrac{13}{15}\neq \dfrac{30}{26}[/tex]

Therefore, the required answer is "No", the given ratios are not a pair of equivalent ratios.

when a two digit number is multiplied by its unit digits, the product is 336. When the digits are reversed and the new number is multiplied by its new unit digits, the product is 325.If the sum of the digits is 11, find the original two digit number​

Answers

9514 1404 393

Answer:

  56

Step-by-step explanation:

In the base-10 number system, the only two digits that have themselves as the least significant digit of their square are 5 and 6.* If multiplying a 2-digit number by the ones digit gives a ones-digit of 6, then the ones digit must be 6.

Similarly, if the ones digit of the product is 5, the ones digit of the number must be 5.

So, the ones digit of the original number is 6, and the ones digit of the reversed 2-digit number is 5. The original number is 56.

__

Check

  56 × 6 = 336

  65 × 5 = 325

  5 + 6 = 11

_____

* Additional comment

These digits are called "automorphs." Automorphs ending in 5 or 6 can be extended to any number of digits. For example, the 3-digit automorph ending in 6 is 376. 376² = 141376. Similarly, the 3-digit automorph ending in 5 is 625. 625² = 390625

Help please I will give Brainliest

Answers

Answer:

Reduce the expression, if possible, by eliminating common factors.

Exact form:

1/30

Decimal form:

0.03

Please help ASAP!
Thank you

Answers

The answer has to be 16 because when you add them it goes up
Yep. Your answer would be 16

1. (-78) + (-98) =
2. (+45) + (+23) =
3. (+67) + (-56) =
4. (98) + (-73) =
5. (-971) + (+237) =​

Answers

Answer:

1.-179

2.68

3. 11

4. 25

5. -734

[tex](4+\sqrt{-7}) (3+\sqrt{-7})[/tex]

Answers

HMMMMMMMMMM LET ME WORK IT OUT FOR U
The answer is 5+7i√7

Tasha has foam blocks stored in a box that measures 314 ft long by 3 ft wide by 1 ft tall.

Each foam block is a cube with 14 -ft edge length.



How many blocks can fit into the box?




156 blocks

312 blocks

624 blocks

2496 blocks

Answers

Answer:

624

Step-by-step explanation:

I hope it helps i did the test  btw <3

Answer:

624

Step-by-step explanation:

I also did that same exact test. K12 right? That is what I go to. Anyway that answer is correct. Your welcome!

PLZ HELP
x-5(x-1) = x- (2x-3)​

Answers

Answer:

Step-by-step explanation:

x-5(x-1) = x- (2x-3)​

x  + x *(-5) + (-1) * (-5) = x +  2x*(-1) + (-3)*(-1) {use distributive property}

x - 5x + 5 = x - 2x +3   {Combine like terms}

    -4x + 5 = - x +3           {Add 'x' to both sides}

-4x + 5 + x  = -x + x + 3

       -3x + 5 = 3           {subtract 5 from both sides}

            -3x = 3 - 5

            -3x = -2           {Divide both sides by (-3)}

              x = -2/-3

               x = 2/3

Find the distance between (-5,6)and (3,2).

Answers

Answer:

[tex]\displaystyle d = 4\sqrt{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-5, 6) → x₁ = -5, y₁ = 6

Point (3, 2) → x₂ = 3, y₂ = 2

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formulas]:                                                     [tex]\displaystyle d = \sqrt{(3+5)^2+(2-6)^2}[/tex][Distance] [√Radical] (Parenthesis) Add/Subtract:                                       [tex]\displaystyle d = \sqrt{(8)^2+(-4)^2}[/tex][Distance] [√Radical] Evaluate exponents:                                                    [tex]\displaystyle d = \sqrt{64+16}[/tex][Distance] [√Radical] Add:                                                                             [tex]\displaystyle d = \sqrt{80}[/tex][Distance] [√Radical] Simplify:                                                                         [tex]\displaystyle d = 4\sqrt{5}[/tex]

Algebra 2 Unit 1 Assessment
Which of the following contains multiple variables?
4a + 5b + 1

4a + 5a + 1

4a - 1

4 - 1

Answers

Answer:

I would have to say A

Step-by-step explanation:

B has 2 of the same variables while A has to different variables and C&D have no variables there for the answer is A

i also think it’s A

you have one sheet of 18 stickers. If you put an equal amount of stickers on 3 sheets of paper, how many stickers will be on each page?

Answers

Answer

there will be 6 on all three pages

Step-by-step explanation:

divide 18 by 3

A large store has a warehouse it uses for storage. Trucks back up to the loading dock where merchandise is unloaded, sorted, and stacked in the correct area of the warehouse. The large shelves in the storage area are 17 feet 8 inches apart so the forklift machines can operate between the shelves. Is that distance greater than or less than 216 inches?

Answers

Answer:

The distance is less than 216 inches.

Step-by-step explanation:

Each feet has 12 inches.

The large shelves in the storage area are 17 feet 8 inches apart

So, in inches, this distance is of:

17*12 + 8 = 212

This distance is less than 216 inches.

Which of the following are exterior angles? Check all that apply

Answers

Answer: D, C, A

Step-by-step explanation:

An exterior angle is an angle that is supplementary to an interior angle.

The angle between the extended side and its adjacent side is called the exterior angle so the option (D), (C), and (A) will be the correct answers.

What is the Exterior angle?

Exterior angles become by a side of that figure and its extended adjacent side.

The exterior angle has been attached.

Since in the graph angle, ∠3 become by two extended lines but for exterior angle, there should be only one extended line which is ∠6, ∠5, and ∠2.

Hence angles ∠6, ∠5, and ∠2 will be the exterior angles.

For more information about Exterior angle

https://brainly.com/question/10638383

#SPJ5

Doughnuts are sold in bag and cartons. A bag holds 4 doughnuts and a carton holds 10 doughnuts. Tome buys b bags of doughnuts and c cartons of doughnuts. He buys a total of t doughnuts. Write down the formula for t in terms of b and c

Answers

Answer:

[tex]t = 4b + 10c[/tex]

Step-by-step explanation:

Given

1 bag = 4 doughnuts

1 carton = 10 doughnuts

Required

Determine the amount of doughnuts in b bags and c cartons

If 1 bag contains 4 doughnuts, then b bags contain 4b doughnuts

If 1 carton contains 10 doughnuts, then c cartons contain 10b doughnuts

So, the total (t) is calculated by adding up the amount of doughnuts in the cartons and the bags:

i.e.

[tex]t = 4b + 10c[/tex]

In ΔDEF, the measure of ∠F=90°, the measure of ∠E=41°, and FD = 79 feet. Find the length of DE to the nearest tenth of a foot.

Answers

Answer:

120.4ft

Step-by-step explanation:

Find the diagram in the attachment.

The triangle shown is a right angled triangle with the side DE as the hypotenuse, EF is adjacent side while DF is the opposite side.

To get DE, we will use the SOH CAH TOA trigonometry identity

Using CAH which is defined as:

Cos(theta) = Adjacent/Hypotenuse

Cos 79°= 23/Hypotenuse

Hypotenuse = 23/cos79°

Hypotenuse = 23/0.191

Hypotenuse = 120.4feet

DE = 120.4feet (to nearest tenth)

ou intend to draw a random sample in order to test a hypothesis about an unknown population mean. You will use a hypothesis test. A description of each of the steps of a hypothesis test follows, but they may be specified in the incorrect order. Specify the correct order of the steps. Determine the null and alternative hypotheses. Draw a conclusion about the unknown population using what is known about the sample. Determine the probability at which you will conclude that the sample outcome is very unlikely. Draw a random sample, and calculate the sample statistic.

Answers

Answer:

Determine the null and alternative hypotheses :  STEP 1

Draw a conclusion about the unknown  population using what is known about the sample :  STEP 4

Determine the probability at which you will conclude that the sample outcome is very unlikely :  STEP 2

Draw a random sample and calculate the sample statistic : STEP 3

Step-by-step explanation:

The correct order of the steps are :

Determine the null and alternative hypotheses :  STEP 1

Draw a conclusion about the unknown  population using what is known about the sample :  STEP 4

Determine the probability at which you will conclude that the sample outcome is very unlikely :  STEP 2

Draw a random sample and calculate the sample statistic : STEP 3

For which value of x must the expression V59X be further simplified?

Answers

R t tvyvyvy t y. Hcyctvyvvyvubi

Quadrilateral WXYZ is dilated by a scale factor of į to form quadrilateral W'X'Y'Z'. What is the measure of side ZW? Z 28 Y" 42 42 W 28​

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

The given side lengths are not clear enough:

So, I will give a general explanation.

From the question, we understand WXYZ is dilated to produce W'X'Y'Z

This implies that the sides of WYZY is multiplied by the scale factor (k) to give W'X'Y'Z'

i.e.

[tex]ZW *k =Z'W'[/tex]

Divide both sides by k to get side length ZW

[tex]ZW = \frac{Z'W'}{k}[/tex]

Assume that:

[tex]k = 4[/tex] and

[tex]Z'W' = 28[/tex]

[tex]ZW = \frac{Z'W'}{k}[/tex]

[tex]ZW = \frac{28}{4}[/tex]

[tex]ZW = 7[/tex]

Apply these steps and you will get your answer

Alicia bought a package of eight peaches for $3.20. Find the cost of each peach.

Answers

Answer:

.40 cents each.

Step-by-step explanation:

$3.20/8=.40

To go on a summer trip, Felipe borrows $200. He makes no payments until the end of 3 years, when he pays off the entire loan. The lender charges sim
Interest at an annual rate of 2%.

Answers

Answer:

Step-by-step explanation:

A=P(1+rt)

A=200(1+.02(3))

A=200(1.06)

A=$212

The scale factor of similar figures is 4/3, and one side of the smaller triangle is 12.

The corresponding side on the larger triangle is 16.

True
False

Answers

Answer:

True

Step-by-step explanation:

Find the length of the third side. If necessary, write in simplest radical form.
3
2

Answers

Answer:

4.2 ft

Step-by-step explanation:

Reference angle = 77°

Opposite side = DE = x

Hypotenuse = CD = 4.3 ft

Apply the trigonometric function of sine. Thus:

Sin 77 = opp/hyp

Sin 77 = x/4.3

Multiply both sides by 4.3

4.3 × sin 77 = x

x = 4.2 ft (nearest tenth)

What is 56x1
Just a regular normal question from me
Your welcome in advance

Answers

Answer:

56

Step-by-step explanation:

Hope this helps

Answer:

56

Step-by-step explanation:

56×1=56

Lines s and t are parallel. Find the value of x.
PLEASE HELPPPPP, THANKSS!!!!

Answers

Answer:

50 i think

Step-by-step explanation:

Answer:

50°

Step-by-step explanation:

Given,

In the second transversal 40° is correspondent to second parallel line in the pair so we get 40° here.

Then, at intersection we get 90°.

Now, by the problem,

180° -90° -40° = 50° [linear pair]

Hence, we got 50° at intersection of second line.

Now,

angle x = 50° (corresponding angles)

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