Sorry If its hard to read but it's worth a lot of points!

A portion of the Quadratic Formula proof is shown. Fill in the missing statement.

Statements Reasons
x squared plus b over a times x plus the quantity b over 2 times a squared equals negative 4 times a times c all over 4 times a squared plus b squared over 4 a squared Find a common denominator on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared | Add the fractions together on the right side of the equation the quantity x plus b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared | Rewrite the perfect square trinomial on the left side of the equation as a binomial squared ? Take the square root of both sides of the equation

Answers

Answer 1

Answer:

Take the square root of each side

D (x+b/2a)  =±sqrt( (b^2-4ac)/ 4a^2)

Step-by-step explanation:

We have

(x+b/2a) ^2 = (b^2-4ac)/ 4a^2

We need to take the square root of each side to continue to isolate x

(x+b/2a)  =±sqrt( (b^2-4ac)/ 4a^2)

I hope thats right


Related Questions

What kind of symmetry does this figure have?



line
point
neither
both line and point


( look at picture )

Answers

Both Line and point

The kind of symmetry the figure given above posses is a line and point symmetry.

What is point symmetry?

A point Symmetry also known as origin symmetry is a Symmetry which occurs when every part of an object has a matching part. That is, the same distance from the central point but in the opposite direction.

The objects looks the same when viewed from opposite directions.

What is line symmetry?

A line of symmetry is a line that cuts a shape exactly into two equal half. That is, if you fold the shape along the line, both halves would match exactly.

Therefore, the figure given above has both point and line Symmetry.

Learn more about line and point symmetry:

https://brainly.com/question/1553710

Polygon A is a square. Polygon B has 4 more sides than polygon A. What type of polygon is B?
a.
pentagon
b.
octagon
c.
decagon
d.
hexagon


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

An octagon is an 8-sided polygon

it is octagon bec it got 8 sides

Find the volume of the composite solid.

NO LINKS PLEASE!

Answers

Answer:

156 ft^3

Step-by-step explanation:

1) find the volume of the parallelepiped:

V = side^2 x height = 6^2 x 3 = 108 ft^3

2) find the base area of the pyramid:

base area = side^2 = 6^2 = 36 ft^2

3) find the volume of the pyramid:

V = (base area x height)/3 = (36 x 4)/3 = 48 ft^3

4) find the total volume

V = 108 + 48 = 156 ft^3

To find the volume of the whole prism we first need to find the volume of the base aka rectangular prism and then the top.

For the rectangular prism the volume would be:
6*6*3 which equals 108

For the top prism the volume is:
6*6*4 which equals 144

Add 144 and 108 and you should get 252.

Hope this helps if so mark me the brainiest.

PLZZZZ explain for a quiz and i'll give you branliest if it's right and no link's
Your cousin is building a sandbox for his daughter.

How much sand will he need to fill the box? Explain.
How much paint will he need to paint all six surfaces of the sandbox? Explain.

Answers

Answer:

Explained below...

Step-by-step explanation:

So, I believe that for the first question, you are finding the volume. Volume is what makes up the inside of a 3- dimensional shape.

So, as you may know, the formula for volume is length x width x height.

This means you will multiply 1, 4, and 6 feet. (1 * 4 * 6, which equals 24) So, I would say 24 pounds? I am unsure, but I hope this helps!

For question 2, you will have to find the area of each rectangle. With a concluding fact that the opposing sides are similar, this will make things easier.

First, locate all of your measurements for area (A = l * w) So, for the smaller rectangle, or two short sides, you will multiply 1 by 4, which is 4. For the longer sides, you will multiply 1 by 6, which is 6. For the top and bottom, you will multiply 6 by 4, which is 24.

Don't forget to remember that there are two of each rectangle!

Considering he will have to cover a total of 68 feet, I am sadly unsure of how many.

Hope this helps! :)

I'm sorry if it doesn't. You may delete my answer if it does not.

PLEASE HELP NO LINKS PLEASE!
Answer this word problem: Kevin wants to buy a "no fetch" putting mat for $114.30 less that the normal price. If the mat normally costs $245, by what percent is it being discounted? (Don't forget to convert your answer into a percent.)

Thanks!

Answers

The answer is 53,34 % or 53,3 whatever depending on the digits you need

Answer:

46.65%

Step-by-step explanation:

Discount = $ 114.30

Discount percent = [tex]\frac{discount price}{Normal price}*100\\[/tex]

                             [tex]= \frac{114.30}{245}*100\\\\= 46.65[/tex]

                             = 46.65%  

43. Find the length of the hypotenuse in this triangle.

Answers

Answer:

5

Step-by-step explanation:

use the pythagorean theorem

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

[tex] {h}^{2} = {(4)}^{2} + {(3)}^{2} [/tex]

[tex] {h}^{2} = 16 + 9[/tex]

[tex] {h}^{2} = \sqrt{25} [/tex]

[tex] {h}^{2} = \sqrt{25} = 5[/tex]

42. Calculate the value of c in the triangle below.

Answers

a^2+b^2=c^2
9^2+40^2=c^2
81+1600=1681
Square it and u get 41
so c is 41

4. The three angles of a triangle measure x°, y° and 39°. Which of the following statements must be true?
A. y=x+39
b. y+x=180-39
C. x+y=39
D. y=180-x

Answers

Answer:

It is: C. x + y = 39

Step-by-step explanation:

Since the first angles are always added unless they are in a fraction, but since that is not the case they are added and gives 39.

And if you want to know the measures of x, y.

X: is 55º

Y: it is 79º

I hope I have helped.

8. solve for k. Shown in the diagram below.

Answers

Answer:

It should be 67 degrees

Step-by-step explanation:

the inside angles are 64(b) and 49(h)

b+h+k=180

Maybe

Ricardo bought 3 pounds of red grapes, 4 pounds of green grapes, and 1 pound of black grapes. What is the ratio of green grapes to red grapes that Ricardo bought?

Answers

Answer:

4:3

Step-by-step explanation:

Find the area of the composite figure

Answers

Answer:

174 square feet

Step-by-step explanation:

18*9= 162

6*4=24/2=12

162+12=174

174 square feet is the answer

Find the surface area of a right rectangular prism with a height of 7 cm, a length of 4 cm and a width of 6 cm

Answers

188cm^2
or 188 centimeters squared
just make sure to put the exponent of 2 at the end

Answer:

D

Step-by-step explanation:

you do the length x width x height

In this polygon, which angle is an interior angle





(from left to right--D,A,B,C)

Answers

Answer:

c

180(n-2)

180(5-2)

180(3)

540

agree. the answer is c

Find the height and area of an equilateral triangle with side lengths of 10 cm.
Height:____cm
Area:______cm²

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

[tex]Area = 25\sqrt{3}[/tex]

[tex]Height = 5\sqrt{3}[/tex]

To find the height and area of an equilateral triangle we can start by finding the area using the following equation

[tex]Area =\frac{\sqrt{3}}{4} side^2\\Area =\frac{\sqrt{3}}{4} 10^2\\Area =\frac{\sqrt{3}}{4} 100\\[/tex]

Which then simplifies down to

[tex]Area = 25\sqrt{3}[/tex]

Next, we can find the height using the following equation

[tex]Height = \frac{side\sqrt{3} }{2} \\Height = \frac{10\sqrt{3} }{2}[/tex]

which then simplifies down to

[tex]Height = 5\sqrt{3}[/tex]

If this helped you a Brainliest would be much appreciated!

I wish I was good at math that’s why I am on this app lol

Can someone do these please

Answers

Answer:

I will explain each one under this is.

Step-by-step explanation:

The answer to the blank space in number 2 is 8 because you would need to take the bigger denominator and then divide it by the lower denominate to find out the equivalent fraction. And for number two, you would divide 28 by 7 which equals 4, so you then take 4 and take the numerator and multiply the numerator by 2, so that's 2 times 4 which is 8. So the answer 8 in the blank space. Since I already explained how to do it here, I'll just give you the rest of the answers.

3: 20

4: 33

5: 5

6: 100

7: 28.8

8: 5.7

Answer:

Step-by-step explanation:

2. 8/28

3. 20/16

4. 33/45

5. 5/7.5

6. 3.5/50

7. 28.8/16

8. 5.7/20

Please answer! Brainliest will be given, thanks sooo much :)

Answers

Answer: the answer is 30 to the power of 6

Step-by-step explanation:

I need some help, please...

Answers

Answer:

all i know is that DOE COD is complementary

Step-by-step explanation:

the 2 angles together measure 90 degrees which makes it complementary

AOB and COD - vertical
DOE and COD - complementary
AOB and AOD - supplementary

20 POINTS
Which measure of spread is the most appropriate for the data set represented by the graph?
A. range
B. quartiles
C. interquartile range
D. mean absolute deviation
E. either range or interquartile range

Answers

The answer is D! I hope this helps..

The most appropriate for the data set represented by the graph is mean absolute deviation.

What is Mean absolute deviation (MAD)?

It is a measure of variability or variation that indicates the average distance or average absolute distance between each data point or data value and the mean of a data set

We can calculate the variability of a data set by different measure thay include range, interquartile range, mean absolute deviation, standard deviation, etc.

Quartiles or ranges may be useful but they are limited as they tend to skip a lot of data in the group.

While, absolute deviation can help us get a more representative idea of spread for a data set like the one given in this question, where the elements have close difference.

Hence, the most appropriate for the data set represented by the graph is mean absolute deviation.

Learn more about mean absolute deviation, click;

https://brainly.com/question/10528201

#SPJ3

Is figure A’B’C’D’ a translation of figure ABCD? Explain.

A. Yes; it is translated 2 units left and 2 units up.

B. Yes; it is translated 1 unit left and 3 units up.

C. Yes; it is translated 3 units left and 1 unit up

D. No; the two figures are oriented differently.

PLEASE HELPPP ASAP, WILL GIVE BRAINIEST!!! NO LINKS OR YOU WILL BE REPORTED!

Answers

D. I’m not for sure.

The correct statement about the translation of figure is,

⇒  No; the two figures are oriented differently.

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

To find the correct statement about the translation of figure.

Now, The two figure of ABCD and A'B'C'D' are oriented differently.

Hence, The figures are not represent the translation.

Thus, The correct statement about the translation of figure is,

⇒  No; the two figures are oriented differently.

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ2

the box and whisker plot below shows the numbers of text messages received in one day by students in the seventh and eighth grades at lincoln middle school.
a.where do the two sets of data overlap?
b.find the IQR of each set.
c.Find the difference between the medians of the sets
d. what number multiplied by the IQR equals the difference between two sets?
please help!

Answers

They overlap at 22-26

Answer:

Answer below

Step-by-step explanation:

a. they overlap at 22 and 26

b. eighth grade IQR = 8 seventh grade IQR = 8

c. 12

d. 1.5

Every weekend Jill bikes 7.5 miles from home to the tennis court. His cousin Jun does the same thing. He bikes 80% as far as Jill. How many miles does Jun bike from home to the tennis court every weekend?Please show how you got your answer.

Answers

80% of 7.5 is 6.
so if he travelled 80% further, it would be 7.5+6 which is
13.5

Answer:

53.2

Step-by-step explanation:

MY REASONING FOR THIS IS BECAUSE 80% of 9.5= 7.6 and because a weekend has 7 days then you have to multiply 7.6*7 which is 53.2.

The probability of a chance event is 0.5, it is __________ to happen when compared to a chance event with a probability of 1.
Select one:

less likely

more likely

both more and less likely

equally likely

Answers

Answer:

less likely

Step-by-step explanation:

Probability is between 0 and 1 so 1 is guaranteed to happen and 0 is guaranteed to not happen

Answer:

less likely

Step-by-step explanation:

0.5 is less then one there for the probability of 0.5 is less then 1.

The models below are shared to show 4/8 and 2/4. What do the models show about these fractions

Answers

Answer:

I do not see the model, but based on what you are telling me, I believe that both the fractions are equal is what is being shown. They are, in other words, equivalent fractions

Answer:

The models show that both fractions are equivalent.

Step-by-step explanation:

The model shows they have the same value but are just divided in different ways. Also, if you reduce 4/8 you get 2/4 meaning they are equivalent.

NOTE* We cannot see the models.

Question 2
A different random sample of 1,000 people yielded the results recorded in table 2. Use this data to answer the questions that follow.

Part B
What percentage of Americans would you predict wear glasses?

Answers

Answer:

41.47%

Step-by-step explanation:

618÷(745+618+127)×100

Answer:

41.47%

Step-by-step explanation:

brainliest if correcct

Answers

Choice B, would be the correct answer.

The y's on choice A, C, D are not increasing by a constant rate. However, choice B the y's are increasing by 8 every time. Thus, choice B would be the correct answer. Hope this helps :)

Answer:

B

Step-by-step explanation:

Consider the value of y

If there is a common difference between consecutive terms then relationship is linear.

A 7, 12, 18

12 - 7 = 5 and 18 - 12 = 6 ← not common so not linear

B 8, 16, 24

16 - 8 = 8 and 24 - 16 = 8 ← common then linear

C 5, 7, 10

7 - 5 = 2 and 10 - 7 = 3 ← not common so not linear

D 4, 16, 30

16 - 4 = 12 and 30 - 16 = 14 ← not common so not linear

Thus table B represents a linear relationship

I need help plzzzzzzzzzzzzzz

Answers

Answer: x=21

Step-by-step explanation:

Concept

- If three parallel lines intersect two transversals, then the segments intercepted on the transversals are proportion.

Solve

Given

x/7 = 27/9

Simplify

x/7 = 3/1

Cross multiply

x = 21

Hope this helps!! :)

Please let me know if you have any questions

The correct answer is 21

HELP I SUCK AT TRIANGLES

Answers

Answer:

x = 22.5 cm

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio

[tex]\frac{FG}{AB}=\frac{FH}{AC} = \frac{GH}{BC}\\\\\\ \frac{GH}{BC}=\frac{FG}{AB}\\\\\frac{x}{15}=\frac{13.5}{9}\\[/tex]

[tex]x = \frac{13.5}{9}*15\\\\x = 1.5*15\\\\x = 22.5[/tex]

I believe it’s 22.5

help?

btw so sorry for terrible photo quality

Answers

Suki’s method is the best to use here. Dinah could only know students who read novels, making her sampling method more biased.
Suki’s method is definitely the better choice. It was randomly selected and includes a greater amount of students. Dinah’s method has a little more bias. It’s about the people SHE personally knows, and because of the variables in the survey (same class as Dinah? Is she in a higher education class? Part of a group?) So the answer is Suki. Once again, greater amount of participants, randomly chosen without any bias

Explain why is the following claim correct: The air temperature is cooler during El Niño years because ocean currents and prevailing winds both change.

I WILL REPORT IF U GIVE A LINK OR USE FOR POINTS!

Answers

Answer:

the current is not as warm, so less energy will transfer from the current to the air, making Christchurch cooler than usual.

Step-by-step explanation:

A runner can run 20 miles in 150 mins if she runs at that speed what is her pace in mins per mile

Answers

Answer:

7.5 mph

Step-by-step explanation:

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