In order to solve by completing the square, what value needs to be added to
both sides of the equation: x2 + 8x = 17? (A.8A, RC 4, RS)
A 64
B 32
C 17
D 16

can someone please explain?

In Order To Solve By Completing The Square, What Value Needs To Be Added Toboth Sides Of The Equation:

Answers

Answer 1

Answer:

16

Step-by-step explanation:

To find the term needed, use the binomial formula.

[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]

Let 8x = 2ab, a is by default x, which leaves us with:

8x = 2xb

8 = 2b

b = 4

And by the binomial formula add [tex]b^2[/tex] to both sides, namely 16.

[tex]x^2 + 8x + 16 = 17 + 16\\(x+4)^2 = 33[/tex]


Related Questions

Quick help needed, need someone to check my answer.

Mario’s Company makes unusually shaped imitation gemstones. One gemstone had 12 Faces and 20 edges. How many vertices did the gemstone have?
A. 34 Vertices
B. 10 Vertices (My answer)
C. 30 Vertices
D. 8 Vertices

Answers

Answer:

it has to be 8 because I subtracted and that was my answer for It

If 343x=49^4-x What is the value of x ?

Answers

Answer:

If It was a Fraction it'd be 8/5

Step-by-step explanation:

use the appropriate identity to rewrite the expression 4x^6-9

Answers

Answer:

D.

Step-by-step explanation:

4x⁶-9 = (2x³)² - (3)²

Use the diagram below to classsify each pair of angles.

Answers

Answer:

a. congruent

b. complementary

c. supplementary

d. congruent

Hope this helps.

Teresa is moving in needs to determine if her friend Sams truck is big enough to fit all of her moving boxes.what would be the best tool that she could use to determine if she has enough room for her boxes?

Answers

Answer:

Step-by-step explanation:

a ruler.

Answer:

Measuring tape

Step-by-step explanation:

A train traveled 63.75 miles at a rate of 85 miles per hour. Which equation can be used to find h, the number of hours it took the train to travel this distance?

Answers

Answer:

0.75 hr

Step-by-step explanation:

Recall that distance = rate times time.

Thus, time = distance / rate.

Here, time = 63.75 miles / 85 mph  =  0.75 hr

Next time, please share the possible answer choices.  Thank you.

Which of the following statements about the image below is true?

Answers

Answer:

The measure of SWX is 108.

Step-by-step explanation:

TX and QS are not perpendicular.

QRT and TRU are complementary (add to 90) not supplementary (add to 180)

The measure of SWX is 108 because angles on a line add to 180, and RWS is 72. 180 - 72 = 108

Answer:

The measure of <SWX is 108°

The second answer is actually Complementary.

He rest of the answers are pretty obvious no’s.

23.791 to nearest hundredth

Answers

Answer:

23.79

Step-by-step explanation:

one is less than 5 so you just drop it

Answer:

23.79

Step-by-step explanation:

In the number 23.791, the number place holding the 9 is the hundreth's place. Now look at the thousands place, the number place holding the 1.

If the number in the thousands place is 5-9, round up to 23.8

If the number in the thousands place is 1-4, round down to 23.79

Since 1 is smaller than 5, round doqn to 23.79

I hope this helps!

m u c h h e l p n e e d e d

Answers

Answer:

Statements 2 and 3 are true

Step-by-step explanation:

Reading from the table

When x = -4, y = -1  so statement 1 is false

When x = -1, y = -2.5 so statement 2 is true

When x = 0, y = -3  so statement 1 is true

When x = 2, y = -4 so statement 2 is false

Answer:

Statements 2 and 3 are true

Step-by-step explanation:

Reading from the table

When x = -4, y = -1  so statement 1 is false

When x = -1, y = -2.5 so statement 2 is true

When x = 0, y = -3  so statement 1 is true

When x = 2, y = -4 so statement 2 is false

In February, Alex has 1,518 visitors to his websit. In March, he had 1380 visitors to his website. What is the percent decreased of the number of visitors to Alec’s website from February to March ? If necessary, round to nearest tenth of a percent ???

Answers

Answer:

The percent decreased of the number of visitors to Alec’s website

  from February to March is 9.1%

Step-by-step explanation:

* Lets talk about the percentage of increase and decrease

- Percent of Increase (Decrease) =

 (amount of increase or decrease ÷ original amount) × 100%

- Increase {New amount > Original amount}    

- Decrease {Original amount > New amount}

* Now lets solve the problem

- The number of visitors in February is 1518

- The number of visitors in March is 1380

- The number in March < the number in February

∴ The decreasing amount = 1518 - 1380 = 138 visitors

∵ The original number = 1518

∴ The percent decreased = (138 ÷ 1518) × 100% = 9.1%

* The percent decreased of the number of visitors to Alec’s website

  from February to March is 9.1%

Please help me thank you

Answers

Answer:

a) is skewed right since there is more data on the right.

b)5 if there is 3 6's and 3 5's

c) if there are 13 digits in total it is 4.9

Step-by-step explanation:

What is the value of the positive zero of the function , f, defined by f(x) =x^2-121

Answers

Answer:

The positive zero is 11

Step-by-step explanation:

Given in the question an equation,

f(x) =x² - 121

We are asked to find the positive zero of f(x)

means x > 0 for which f(x) = 0

so,

 x² - 121 = 0

 x² = 121

Take square root on both sides of the equation

√x² = √121

  x =  ±11

which means that x = 11 and x = -11

Since x > 0 so we will reject x =-11 and we will accept x = 11

 

Answer: 11

Step-by-step explanation:

You need to substitute [tex]f(x)=0[/tex] into the function given:

[tex]f(x) =x^2-121\\0 =x^2-121[/tex]

Now you need to solve for the variable "x", to do this, first you must add 121 to both sides of the function:

[tex](121)+0=x^2-121+(121)\\121=x^2[/tex]

Now apply square root to both sides of the function. Then, you get:

[tex]\±\sqrt{121}=\±\sqrt{x^2}\\\\\±\sqrt{121}=x\\\\x_1=11\\x_1=-11[/tex]

The value of the positive zero of the function is 11.

If you factor 4x^2-49y^2 what’s the answer

Answers

Answer:

(2x - 7y)(2x + 7y)

Step-by-step explanation:

4x^2-49y^2 is the difference of two squares:  (2x)² - (7y)².

This is a case of "special products and factoring."

Since a² - b² = (a - b)(a + b),

(2x)² - (7y)² = (2x - 7y)(2x + 7y)

Solution:

The given Equation is 4x² - 49y²

Spilt it in the form of a² - b² :

☞4x² - 49y²

☞ (2x)² - (7y)²

☞ ( 2x + 7)(2x -7 )

Answer:

More information: { Identity Used }

☞ a² - b² = (a + b)(a-b)

☞ (a + b)² = a² + b² + 2ab

Are 3x and 3y like terms

Answers

Answer: No

Step-by-step explanation:

Like terms are when the variables of two numbers are the same so they would not be like terms.

Example:

5x+7y Are not like terms because they have different variables

but...

5x+7x Are like terms because they have the same variable(x).

No it’s is not because the variables of both the numbers has to be the same.

Can You Please Help Me.​

Answers

Answer:

flip the > to a <

when it's negative always flip the sing

Find the perimeter
use 3.14 for pi​

Answers

Answer:

P = 6.4 m

Step-by-step explanation:

Hello,

The perimeter is the sum o each side of that square, so:

Psquare = 4*(lenght of side)

P = 4*(1.6m)

P = 6.4 m

PD: PI IS NOT NECESSARY, WORKS ONLY FOR CIRCLE

Best regards

What is the area of parallelogram ABCD

Answers

Answer:

20 square units

Step-by-step explanation:

You count how many across the parallelogram is (which is 4) and you count how high it is (which is 5). Then you multiply 5×4* which equals 20 square units.

*The reason you do this is because base×hieght=area

Answer:

20 square units

Step-by-step explanation:

Area of a parallelogram formula = base times height

To find the length of the base we take end points of the base and use distance formula

[tex]distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Two points are (1,0) and (5,0)

Distance = [tex]\sqrt{(5-1)^2+(0-0)^2}[/tex]

[tex]=\sqrt{4^2} =4[/tex]

Length of base = 4 units

Now we find out the height between B (1,0) and D (1,5)

Height =[tex]\sqrt{(1-1)^2+(5-0)^2}=\sqrt{5^2}= 5[/tex]

Height = 5

Area of the parallelogram = base times height

= [tex]4 \cdot 5= 20[/tex]

So area = 20 square units

find the length of the missing side. if necessary, round to the nearest tenth.
A. 30
B. 15
C. 21.3
D. 7.7

Answers

Answer:

7.7

Step-by-step explanation:

16^2=14^2+b^2

b^2=60

b=7.7

The US Senate in Washington DC has 100 elected members last year 30 senators ran for re-election What decimal is equivalent to 30/100

Answers

Answer:

0.3

Step-by-step explanation:

30/10=3

100/10=10

That makes 3/10= 0.3

Answer:0.30

Step-by-step explanation:30 divided by 100 is 0.30

In the diagram, AB is parallel to DE. Also, DE is drawn such that the length of DE is half the length of AB. If sin A = 0.5, then what is sin E?


A) 2
B) 1
C) 0.5
D) 0.25
E) 0.1

Random answers will be reported!

Answers

Answer:

Sin E=0.50

Step-by-step explanation:

Here we are given that DE || AB, and DB and AE are traverse lines to them meeting at point F.

By the properties of parallel lines intersected by a transverse we know that the alternate interior angles are equal.

If we extend DE and AE on both sides , we can see that A and E are equal as they forms alternate interior angles.

Hence

A=E

Sin A = Sin E

0.50=Sin E

Answer:

I got sin E = 0.5

Thus answer choice C being the correct choice

Hope this helps ;)

Step-by-step explanation:

solve f(t)=-16t^2+20t

Answers

Answer:

Step-by-step explanation:

Factor −16t2+20t

−16t2+20t

=4t(−4t+5)

Answer:

4t(−4t+5)

or

Let's simplify step-by-step.

−16t2+20t

There are no like terms.

Answer:

=−16t2+20t

The equation f(t)=-16t^2+20 when solved gave t = 0 and t = 1.25.

To solve the quadratic equation f(t)=-16t^2+20t, we first need to rearrange it into the standard form of a quadratic equation at^2 + bt + c = 0. We can simplify the original equation by dividing all terms by -4, which will reverse the signs:

4t^2 - 5t = 0

Now, this equation can be factored, giving us:

t(4t - 5) = 0

This means our equation has two possible solutions for when it equals zero:

t = 0 or 4t - 5 = 0

Solving the second part for t gives us t = 5/4 or 1.25.

Therefore, the equation f(t) = -16t^2 + 20t has two solutions for t: t = 0 and t = 1.25.

What’s the mean in 43,69,48,37,85,57,95,102

Answers

Answer:

67

Step-by-step explanation:

Total

= 43 + 69 + 48 + 37 + 85 + 57 + 95 + 102

= 536

Mean

= 536 ÷ 8

= 67

Final answer:

The mean of the given set of numbers is 67.

Explanation:

The mean, also known as the average, is calculated by adding up all the numbers in a set and then dividing the sum by the total number of values in the set.

To find the mean of the set of numbers 43, 69, 48, 37, 85, 57, 95, and 102, you need to add all the numbers together and then divide the sum by the total number of values, which is 8.

43 + 69 + 48 + 37 + 85 + 57 + 95 + 102 = 536

536 ÷ 8 = 67

Therefore, the mean of the given set of numbers is 67.

Learn more about Mean here:

https://brainly.com/question/31101410

#SPJ2

Loren compares the fractions 2/3 and 5/8 by first rewriting them using a common numerator. He does everything correctly. Which shows Loren’s comparison?

A. 5/6 > 5/8
B. 10/3 < 10/8
C 10/15 < 10/16
D 10/15 >10/16

Answers

Answer:

D 10/15 > 10/16

Step-by-step explanation:

The least common multiple of 2 and 5 is 10.

2/3 = 10/15

5/8 = 10/16

10/15 > 10/16

Answer: D.

Final answer:

When Loren compares 2/3 and 5/8 using a common numerator, he finds that by making both numerators 10 (10/15 and 10/16), 10/15 is less than 10/16, because the fraction with the larger denominator is the smaller fraction.

Explanation:

To compare the fractions 2/3 and 5/8 by rewriting them using a common numerator, Loren has to find a common multiplier for each numerator that would make them equal. He could multiply the numerators and denominators of both fractions by the other fraction's numerator. For 2/3, he would multiply by 5, and for 5/8, he would multiply by 2. This gives:

For 2/3: (2\*5)/(3\*5) = 10/15

For 5/8: (5\*2)/(8\*2) = 10/16

Now, Loren can compare the fractions easily since they have the same numerator:

Option C: 10/15 < 10/16

This is because, with the same numerator, the fraction with the larger denominator is the smaller fraction.

BASIC ALGEBRA PLZZZ HELP
(x+y)(x-y)

Answers

Answer:

[tex]x^2-y^2[/tex]

Step-by-step explanation:

Given the expression [tex](x+y)(x-y)[/tex]

We can distribute this using the FOIL technique

This would leave us with

[tex]x^2+xy-xy-y^2[/tex]

Then we can combine like terms to leave us with

[tex]x^2-y^2[/tex]

Steps:

(x+y)(x-y)

x^2-xy+xy-y^2

Multiplying the brackets together.

negative and positive= negative

= x^2-y^2

Answer is x^2-y^2

Please help..thank you

Answers

Answer:

D

Step-by-step explanation:

To shift down:

F(x)-b

To shift up:

F(x)+b

To shift right:

F(x-b)

To shift left:

F(x+b)

ANSWER

D. The graph of G(x) is the graph of F(x) shifted 7 units down.

EXPLANATION

The given assumption is that:

G(x)= F(x)-7

This implies that, our parent function is F(X).

Since 7 is subtracted from F(x) to obtain the graph of G(x), it means that shifting the graph of F(x) down by 7 units gives us the graph of G(x).

D. The graph of G(x) is the graph of F(x) shifted 7 units down.

can help me understand this?

Answers

Answer:

Its easy just fill in the blacks

Step-by-step explanation:

P1 is 5 P2 is 2 P3 is 4 and so on now the odd and even u add the odd number together and the even together like 2+2+1 (the even side) =5 so put 5 in the even and do the same thing to odd 5+4+6 = 15 and put 15 on odd #

Hope this helps!

Consider the two box plots below.

Which of the following statements is true?
A. The median of box plot A is greater than the median of box plot B.

B. Both the box plots A and B have the same median.

C. The interquartile range of box plot A is greater than the interquartile range of box plot B.

D. The median of box plot B is greater than the median of box plot A.

Answers

Answer:

the answer is D:  the median of box plot B is greater than the median of box plot A.

Step-by-step explanation:

Answer: D. The median of box plot B is greater than the median of box plot A.

Step-by-step explanation:

We know that in a box-whisker plot, the vertical present in the box represents the median value of data and the length of box along the number line represents the interquartile range.

In the given picture, it can be seen that the box B is longer than box A.

It mean that the interquartile range of box plot B is greater than the interquartile range of box plot A.

Also, the vertical line in box A is present between 15 and 20 on number line but in box B it is present between 25 and 30.

It means that the median of box plot B is greater than the median of box plot A.

Find the midpoint of the line segment whose endpoints are (-2, 5) and (6, -9).

Answers

Answer: (2, -2)

To find the x coordinate of the midpoint: (-2+6)/2

To find the y coordinate of the midpoint: (5+(-9))/2

Answer:

The mid point is (2, -2).

Step-by-step explanation:

Since, the coordinates of mid point of a line segment having end points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are,

[tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

Thus, the midpoint of the line segment whose endpoints are (-2, 5) and (6, -9) would be,

[tex](\frac{-2+6}{2}, \frac{5-9}{2})[/tex]

[tex](\frac{4}{2}, \frac{-4}{2})[/tex]

[tex](2, -2)[/tex]

An inscribed angle is an angle formed by two radii that share an endpoint. (true or false)

Answers

Answer:

False

Step-by-step explanation:

False.  An inscribed angle is formed by two chords (inside a circle).

Note:  A central angle is an angle formed by two radii that share an endpoint.

The statement about an inscribed angle being formed by two radii is false. An inscribed angle has its vertex on the circle and is formed by two intersecting chords, whereas a central angle has its vertex at the center of the circle and is formed by two radii.

The statement that an inscribed angle is an angle formed by two radii that share an endpoint is false. An inscribed angle in a circle is actually formed by two chords that intersect on the circle. The vertex of the inscribed angle lies on the circle and its sides are made up of two chords of the circle. By contrast, an angle formed by two radii that share an endpoint is called a central angle. The central angle's vertex is the center of the circle, and it intercepts an arc.

If 10-2=33 , 37-23=83, 82-4=83, 55-7=32, then 76-45 ????

Answers

Answer:

i think value 35

Step-by-step explanation:

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He was very happy when he met his family at the station and brought them to the newly furnished house all lit up, where a footman in a white tie opened the door into the hall decorated with plants, and when they went on into the drawing-room and the study uttering exclamations of delight. He conducted them everywhere, drank in their praises eagerly, and beamed with pleasure. A. the effect of consumerism B. the power of wealth C. keeping up appearances in society D. conforming to societal conventions What is labor in economics? A. Labor is not considered a part of economics. B. Labor is one of the three resources of production, like land or capital. C. Labor is affected by economics, but is outside economic theory. D. Labor is the only real resource of production. Nadia plans to paint her jewelry box. The box is shaped like a rectangular prism with the dimensionsshown. which is closest to the total surface area of the jewelry box? 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