please help!! Factor completely 36x2 − 25.

Answers

Answer 1

36x^2-25

use the formula a^2-b^2=(a+b)(a-b)

a=6x b=5

therefore the answer is (6x+5)(6x-5)


Related Questions

Nelly has a large rectangular postcard that is 9 inches long and 4 inches wide. What is the area of the postcard?

Answers

The answer is probably 36

Answer:

The answer is 36 inches

Step-by-step explanation:

Since the rectangle is 9 inches long and the length is 4 inches wide and you need to find the area the formula is A=L*W so you would multiply 9 and 4 which gives you 36

What is the domain of the function?

y= sqrt 5x-10

Answers

I don't know if this will help but I found this on YAHOO!

Answer: Domain of definition of a function is the set of numbers which the variable attains and for which the function is defined.

Step-by-step explanation:

f(x) = sqrt (5x-10)

Here x can have value equal to any real number >=2 because if x attains value less that 2, 5x-10 becomes negative and sqrt(5x-10) has no real value.

therefore the domain of the function f(x) is (2, infinity) inclusive of 2.

The domain of the above function is (2, ∞) .

What is a Domain ?

Let y = f(x) be a function with an independent variable x and a dependent variable y.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

For the given function   [tex]y = \sqrt{5x-10[/tex]

The domain will be the value that satisfies the function and produces a value of y

For any value less than 2 , the value of v will be an imaginary number .

As the square root of a negative number will be an imaginary number.

Therefore (2, ∞) is the domain of the above function.

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Solve by using the square root property. Write your answer in simplest radical form.

Answers

Answer: X = t or minus 4 square root 3 and X= 4 square root 3 Explanation: add 48 on both sides bring down x squared = 48 take the square root on both sides you get X= t or - 4 square root 3 and X=4 square root 3) Animex yw

Answer:

x = ±4√3

Step-by-step explanation:

Given:  x² = 48, find x.  Note that we must take the square root of both sides, and that there are 2 roots (solutions) because this is a second order equation.

√x² = ±√48

48 is not a perfect square, but it does factor into 16 (a perfect square) and 3 (not a perfect square).

Thus, x = ±4√3 (the last answer choice)

What is the measure of secant DE?

Answers

Answer:

[tex]ED=32\ units[/tex]

Step-by-step explanation:

we know that

Applying the Intersecting Secant Theorem

[tex]AC*BC=EC*DC[/tex]

substitute the values

[tex](16+5)*(5)=(ED+3)*(3)[/tex]

Solve for ED

[tex](21)*(5)=(ED+3)*(3)[/tex]

[tex]35=(ED+3)[/tex]

[tex]ED=35-3=32\ units[/tex]

What is the mean for the data set?

412, 428, 475, 462, 481, 407, 420, 467, 472, 408

Express your answer as a decimal to the nearest tenth.

Enter your answer in the box.

P.S not actually asking just giving the answer to others who come across this question.

Answers

The answer to your question is 443.2 as the mean is the average

Jefferson High School is looking to expand its student parking lot by expanding the existing lot as
shown below.
(Picture Attached)
The size of the new parking lot will be twice the size of the old parking lot. How many feet, x, was the
old parking lot expanded by?

Answers

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This was already answered.

Answer:

The value of x is 60 ft.

Step-by-step explanation:

The area of a rectangle is

[tex]A=length \times width[/tex]

The area of school is

[tex]A=165\times 300=49500[/tex]

The area of old lot with school is

[tex]A=(165+75)(300+75)=90000[/tex]

The area of old lot without school is

[tex]A_1=90000-49500=40500[/tex]

The area of new lot with school is

[tex]A=(165+75+x)(300+75+x)=x^2 + 615 x + 90000[/tex]

The area of old lot without school is

[tex]A_2=x^2 + 615 x + 90000-49500=x^2 + 615 x + 40500[/tex]

It is given that the area of new parking lot will be twice the size of the old parking lot.

[tex]2A_1=A_2[/tex]

[tex]2(40500)=x^2 + 615 x + 40500[/tex]

[tex]0=x^2 + 615 x -40500[/tex]

[tex]0 = (x - 60) (x + 675)[/tex]

[tex]x=60,-675[/tex]

The value of x can not be negative. Therefore the value of x is 60 ft.

Which statement correctly compares the slopes of the two functions?

Answers

ANSWER

B. Function g has slope 3 which makes it steeper

EXPLANATION

The function f(x) has equation:

3x-y=6

We slope for y to get:

-y=-3x+6

y=3x-6

The slope of this function is 3.

The function g(x) passes through (-2,1) and (0,5).

The slope is

[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]

[tex]m = \frac{5- 1}{0 - - 2} [/tex]

[tex]m = \frac{4}{2} = 2[/tex]

Function g has slope 3. Hence it is steeper.

Answer:

The statement which correctly compares the slopes of two functions is:

 Function f(x) has a slope 2, which makes is steeper than g(x)Step-by-step explanation:

If the slope of a function has a greater absolute value as compared to other then that function is steeper than the other.

Here we have a function f(x) as:

[tex]3x-y=6[/tex]

On changing to slope-intercept form of a line

i.e. y=mx+c

where m is the slope of the line and c is the y-intercept of the line we have:

[tex]f(x)=y=3x-6[/tex]

i.e. the  slope of function f(x) is: 3

The function g(x) is a graph that passes through (-2,1) and (-1,3)

The equation for y=g(x) is given by:

[tex]y-1=\dfrac{3-1}{-1-(-2)}\times (x-(-2))\\\\\\y-1=\dfrac{2}{-1+2}\times (x+2)\\\\\\i.e.\\\\\\y-1=\dfrac{2}{1}\times (x+2)\\\\\\i.e.\\\\\\y=2x+4+1\\\\\\i.e.\\\\\\y=2x+5[/tex]

( since we used a concept of a line passing through two-point (a,b) and (c,d) is given by the equation:

[tex]y-b=\dfrac{d-b}{c-a}\times (x-a)[/tex] )

Hence, the slope of function g(x) is: 2

The absolute value of slope of function f(x) is greater than function g(x)

( since 3>2 )

Hence, we get function f(x) is more steeper.

what is the cross section of a rectangular prism​

Answers

Answer:

The cross section is just at the center of the rectangle. Sorry if I couldn't be of more help but good luck.

Step-by-step explanation:

A standard six-sided number cube is rolled. What is tge probability a 3 or a 5 will land face up?​

Answers

Answer:

It's 1/3

Step-by-step explanation:

6 possible outcomes, 2 desired.

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

There are 6 different possible numbers the cube can land on. Because it is a standard cube, all of the sides will have equal probability of getting landed on. 3 and 5 make up 2 out of 6 possibilities hence a probability of

[tex]\frac{2}{6}[/tex]

or

[tex]\frac{1}{3}[/tex]

The product of binomial and a trinomial is x^3+3x^2-x+2x^2+6x-2.

Answers

Answer:

x = -2 or x = sqrt(13)/2 - 3/2 or x = -3/2 - sqrt(13)/2

Step-by-step explanation:

Solve for x:

x^3 + 5 x^2 + 5 x - 2 = 0

The left hand side factors into a product with two terms:

(x + 2) (x^2 + 3 x - 1) = 0

Split into two equations:

x + 2 = 0 or x^2 + 3 x - 1 = 0

Subtract 2 from both sides:

x = -2 or x^2 + 3 x - 1 = 0

Add 1 to both sides:

x = -2 or x^2 + 3 x = 1

Add 9/4 to both sides:

x = -2 or x^2 + 3 x + 9/4 = 13/4

Write the left hand side as a square:

x = -2 or (x + 3/2)^2 = 13/4

Take the square root of both sides:

x = -2 or x + 3/2 = sqrt(13)/2 or x + 3/2 = -sqrt(13)/2

Subtract 3/2 from both sides:

x = -2 or x = sqrt(13)/2 - 3/2 or x + 3/2 = -sqrt(13)/2

Subtract 3/2 from both sides:

Answer:  x = -2 or x = sqrt(13)/2 - 3/2 or x = -3/2 - sqrt(13)/2

1. To calculate the height of a tree,
Marie measures the angle of elevation
from a point A to be 34º. She then
walks 10 feet directly toward the tree,
and finds the angle of elevation from
the new point B to be 41°. What is the
height of the tree?

Answers

72 I think if not try 41+34=x

Answer:

h ≈ 30.10  ft

Step-by-step explanation:

Marie measures the angle of elevation from a point A to a tree as 34° . She works 10 ft directly towards the tree and discovered the new angle of elevation is 41°. The height of the tree can be computed below.

let

a = distance from point B to the tree

h = height of the tree

The right angle triangle formed from point B,  we can use tan to find the height of the tree.

tan 41°  = opposite /adjacent

tan 41° = h/a

cross multiply

h = a tan 41°

The right angle formed from point A

tan 34° = opposite/adjacent

tan 34° = h/(a + 10)

(a + 10)tan 34° = h

Therefore,

a tan 41° = (a + 10)tan 34°

0.8692867378

a =  0.6745085168(a + 10)

0.8692867378a = 0.6745085168a + 6.7450851684

collect like terms

0.8692867378a - 0.6745085168a = 6.7450851684

0.194778221a = 6.7450851684

a = 6.7450851684/0.194778221

a = 34. 629565532  ft

height of the tree can be find with

h = a tan 41°

h = 34. 629565532 × 0.8692867378

h =  30.103022053  ft

h = 30.10 ft

Solve the system of equations.

- 3x + 2y = 56

- 5x - 2y = 24

X = ?

Y= ?

Answers

X=-10 and Y=13, look at the image attached to see the solution

Answer:

x = -10

y = 13

Step-by-step explanation:

- 3x + 2y = 56 ------ Equation 1

- 5x - 2y = 24 ------ Equation 2

Equation 1 + Equation 2.

-8x = 80

x = -10

Substitute x = - 10 into Equation 1.

-3(-10) + 2y = 56

30 + 2y = 56

2y = 26

y = 13

Which of the following reasons completes the proof in line 2?
A.) Definition of parallelogram.
B.)If both pairs of opposite sides are =, then a parallelogram.
C.) All quadrilaterals are parallelograms.

Answers

Answer:

B: If both pairs of opposite sides are =, then a parallelogram.

Step-by-step explanation:

If was right on my assignment

Quadrilateral ABCD is a rhombus and parallelogram.

What is a rhombus?

A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus.

Given, in a quadrilateral ABCD,

AB= BC = CD = DA

Since A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.

A Quadrilateral is a Parallelogram, if any of this is possible in a Quadrilateral

One Pair of Opposite Sides are equal and Parallel.Opposite sides are equal.Diagonals Bisect each other.One Pair of Opposite sides are parallel and Opposite angles are equal.Opposite sides are Parallel.

Definition of a parallelogram.

All quadrilaterals are parallelograms.

If both pairs of opposite sides are equal.

Therefore, Quadrilateral ABCD is a rhombus and parallelogram.

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Which number is irrational

Answers

Answer:

sqrt(17)

Step-by-step explanation:

sqrt(49) = 7   rational

.06060606 (repeating) = 2/33  rational

1/6   rational

sqrt(17) irrational

What is the length of YZ

Answers

Answer:

D = 48

Step-by-step explanation:

because if AB is 24, YZ is the double, so YZ is 48

HELP!!! Simplify: (3x − 2y) − (4x + 5y).
this is 7th grade math
btw.

Answers

Answer: =−x−7y

Step-by-step explanation:

First, Distribute the Negative Sign:

=3x −2y+ −1(4x+5y),

=3x+ − 2y + − 1(4x) + −1 (5y),

=3x+ −2y + −4x + −5y

Then, Combine Like Terms:

=3x+−2y+−4x+−5y

=(3x+−4x)+(−2y+−5y)

Finally you get the answer :

= −x + −7y

* Hopefully this helps:) Mark me the brainliest:)!!

∞ 234483279c20∞

Answer:

-x - 7y

Step-by-step explanation:

First, get rid of the parentheses by multiplying them out. Multiply them by one for them to go away.

Now, you have 1(3x - 2y) - 1(4x + 5y).

Now simplify, and it's 3x - 2y - 4x - 5y (Yes, -5y! It's beause -1 * 5y = -5y. The sign is supposed to change).

Ok. The next is easy: Identify your matching variables.

3x , -4x and -2y , -5y

So, we're going to assume x comes before y in the new equation, as that's how it is alphabetically, and that's it.

-x - 7y.

Hope this helps!

Ivan has a right rectangular prism with a square base. The height of the prism is twice the length of the base.
Which shapes can be obtained as a horizontal or vertical slice through the prism? Select all that apply.

A. a rectangle
B. a triangle
C. a parallelogram (with no right angles)
D. a square
E. a pentagon

pls answer ASAP!!!
thank you!

Answers

a rectangle and a square

A rectangle & a square

Which situation allows you to have the most saved?

A) Having a set amount set aside for savings each time you are paid
B) Having a set minimum or percentage for savings whichever is greater
C) Having a percentage set aside for savings
D) Having a percentage set aside for savings when your pay is higher and hours are more

Answers

Answer:

having a set minimum or percentage for savings; whichever is greater

Step-by-step explanation:

Most saved situation is,

A) Having a set amount set aside for savings each time you are paid.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

To find Most saved situation.

Now,, We know that;

When, having a set amount set aside for savings each time you are paid- this can be the most possible answer.

And, Technically a person should save 20% to 25% of his income and this amount increases with income.

So, each time when you are paid, set aside the savings amount.

Thus, Most saved situation is,

A) Having a set amount set aside for savings each time you are paid.

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need help asap!!!
The probability of winning a game is 75%. How many times should you expect to win if you play 60 times?

(A)15
(B)45
(C)5
(C)30

Answers

Answer:

B.) 45

Step-by-step explanation:

All that is needed to solve this problem is .75*60. Whenever there is a percentage, , just move the decimal place up two :).

What is the value of X

Answers

Answer:

B. 8

Step-by-step explanation:

The sum of all exterior angles of pentagon is equal to 360°. There are such exterior angles: 62°, 66°, 77°, 59°, (12x)°. Thus, the sum

[tex]62^{\circ}+66^{\circ}+77^{\circ}+59^{\circ}+(12x)^{\circ}=360^{\circ},\\ \\264^{\circ}+(12x)^{\circ}=360^{\circ},\\ \\(12x)^{\circ}=360^{\circ}-264^{\circ},\\ \\(12x)^{\circ}=96^{\circ},\\ \\x^{\circ}=8^{\circ}.[/tex]

Find the volume of the cylinder. 30 POINTS :0!!

Answers

Formula: V = PI x r^2 x H

Volume = 3.14 x 4^2 x 10

Volume = 3.14 x 16 x 10

Volume = 3.14 x 160

Volume = 160π or 502.4 units^3

To find the volume of a cylinder, we use the formula represented below.

Volume = [tex]\pi[/tex][tex]r^{2}[/tex]h

Notice that our cylinder has a radius of 4 and a height of 16, so we can plug these numbers into our formula.

Image provided.

I need help with this USA TEST PREP question

Answers

Answer:

The Answer is C

Step-by-step explanation:

The volume of the cylinder increases by a factor of 25 when the radius is increased by a factor of 5.

The volume of a cylinder is given by the formula:

Volume = π * (radius^2) * height

If the radius is increased by a factor of 5, the new radius is 5 times the original radius. Let's call the original radius "r" and the new radius "5r." The height remains the same.

Now, let's calculate the new volume with the increased radius:

New Volume = π * (5r)^2 * height

New Volume = π * 25r^2 * height

To find the effect on the volume, we can compare the new volume to the original volume:

Effect on Volume = (New Volume) / (Original Volume)

Effect on Volume = (π * 25r^2 * height) / (π * r^2 * height)

The π, height, and r^2 terms cancel out:

Effect on Volume = (25r^2) / (r^2)

Effect on Volume = 25

So, the volume of the cylinder increases by a factor of 25 when the radius is increased by a factor of 5.

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Circular flower bed is 17 m in diameter and has a circular Samick around it is that to meters wide find the area of the sidewalk in square meters use 3.14 for pi

Answers

Answer:

26.69 square meters

Step-by-step explanation:

A=r(3.14)

A= 8.5(3.14)

A=26.69 meters

a regulat pentagon has side lenghts of 5.8cm and apothem of 4cm. calculate its perimeter and area​

Answers

PENTA = 5.

a regular polygon has all equal sides, so if one side is 5.8, all are, so the perimeter for this pentagon with 5 sides is 5.8 + 5.8 + 5.8 + 5.8 + 5.8 = 29.

[tex]\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} p=perimeter\\ a=apothem\\ \cline{1-1} p=29\\ a=4 \end{cases}\implies A=\cfrac{1}{2}(4)(29)\implies A=58[/tex]

A hammer is 1 foot long a car is 15 feet long and shovel is 4 feet long which statement is correct? Choose all that apply’s

Answers

Answer:

Tationia Rolon

Step-by-step explanation:

Here

the vertex form of the equation of a parabola is y=(x-5)2+16. what is the standard form of the equation

Answers

Answer:

y = x² - 10x + 41

Step-by-step explanation:

The standard form of a quadratic is ax² + bx + c : a ≠ 0

Given

y = (x - 5)² + 16 ← expand (x - 5)²

 = x² - 10x + 25 + 16

 = x² - 10x + 41 ← in standard form

Answer: [tex]y=x^2-10x+41[/tex]

Step-by-step explanation:

The standard form of a quadratic function is:

[tex]y=ax^2+bx+c[/tex]

You need to remember the square of a binomial:

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

Applying the above, you get:

[tex]y=(x-5)^2+16[/tex]

[tex]y=(x^2-2(x)(5)+5^2)+16[/tex]

Simplify the expression:

[tex]y=x^2-10x+25+16[/tex]

 Now you need to add the like terms.

THerefore, you get:

[tex]y=x^2-10x+41[/tex]

Which expression is equivalent to x(x + 9) + 20 x + 5 ?
A) x + 4
B) x + 5
C) x − 4
D) x − 5

Answers

Final answer:

The expression x(x + 9) + 20x + 5 is equivalent to x² + 29x + 5.

Explanation:

To simplify the expression x(x + 9) + 20x + 5, we can distribute the x to both terms inside the parentheses:

x * x + x * 9 + 20x + 5

This simplifies to:

x² + 9x + 20x + 5

Combining like terms, we get:

x² + 29x + 5

Therefore, the expression x(x + 9) + 20x + 5 is equivalent to x² + 29x + 5.

Which of the following is equal to 4.6?
A. 1.6+(3×4)−2÷2
B. 1.6+3×4−2÷2
C. [1.6+(3×4)]−(2÷2)
D. (1.6+3)×(4−2)÷2

Answers

Answer: D

Step-by-step explanation:

PEMDAS.

1.6+3=4.6

4.6x2 = 9.2

9.2/2 = 4.6

Answer:D

Step-by-step explanation:

Two polygons are similar. The perimeter of the smaller polygon is 48 centimeters and the ratio of the corresponding side lengths is 2/3 . Find the perimeter of the other polygon.

Answers

Answer:

= 72 cm

Step-by-step explanation:

The ratio of lengths of two similar figures is called the linear scale factor.

In this case, the linear scale factor is 2/3

The linear scale factor is also equivalent to the ratio of the perimeter of two similar figures.

Therefore, 2/3 = 48/x

                x = 48 × 3/2

                   = 72 cm

The perimeter of the other polygon is 72 cm

Answer:

72 cm

Step-by-step explanation:

Given in the question, there are two similar polygons and the ratio of the corresponding side lengths is 2/3.

Perimeter of the smaller polygon = 48 cm

let perimeter of the larger polygon = x cm

We know that if two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.

So,

Perimeter of smaller polygon / Perimeter of larger polygon = 2 / 3

48 / x = 2 / 3

48(3) = 2(x)

144 = 2x

x = 72 cm

In a function y= .08 + 5, y represents the cost of water per gallons and x represents the number of gallons. How much does the cost of water increase for every gallon? A. X B. .08 C. 5.00 D. 5.08

Answers

Answer:

B. 0.08

Explanation:

The general form of a linear equation is:

y = mx + c

where:

m is the slope or the rate of change (increase or decrease)

c is the y-intercept or the initial value

Therefore, in a linear equation, the slope simply gives us the rate of change of the function (increase/decrease)

Now, the given equation is:

y = 0.08x + 5

Comparing the given equation with the general form, we will find that:

m = 0.08

Therefore, the cost of water increase for every gallon (rate of change) is 0.08

Hope this helps :)

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ArthropodD. Mollusk2. Jellyfish and coral belong to the same phylum as ____.A. SnailsB. SpongesC. Sea AnemonesD. Fish3. An Animal belonging to the phylum athropoda is a ____.A. TapewormB. LobsterC. SquidD. Slug4. ____ is the class of athropods which have 8 legs.A. ArchnidB. InsectC. CentipideD. Cephalopod If 33 laptops cost 30,000 in dollars, which proportion could be used to determine the cost of 11 laptops? which statement best describes one main idea of Of Plymouth PlantationA. The colonists needed more supplies than they brought with them.B. Several peopl died on the ship during the voyage to cape God.C. Upon arrival, the colonists were confronted by american indians.D. The Journey to Cape Cod was long and difficult for the colonists. which energy source is a result of tiny sea creatures being compressed over millions of years? What is the role of consumers in determining what is produced in a market economy?A)Consumers work in the production of goods.B)Consumers set the prices for goods in the market.C)Consumers use their buying power to determine goods produced.D)Consumers act as the sole determinant of what products are supplied. ________ does not teach the existence of gods, but of a balancing and unifying force.SikhismHinduismTaoism What is the solution to this inequality: 8x < -32 Match mountain range with its formation. Find the 10th term in the following geometric sequence 1/3,1,3,9 Terry has three pairs of pants black khaki and brown and four shirts yellow red blue and white he does not care which colors he wears together if Terry chooses one pair of pants and one shirt randomly what is the probability that the outfit will be black pants and yellow shirt which function allows money to be used to make purchases Please Help! I will mark Brainliest! :DQuestion 2 (2 points) SavedHow was the Cuban Missile Crisis resolved?Question 2 options:with skirmishes in the Caribbean that ended in a standoffwith negotiations that removed Soviet missiles from Cuba and U.S. missiles from Turkeythrough meetings of the UN Security Councilwith negotiations that allowed Soviet missiles to remain in Cuba with UN inspectors monitoring themQuestion 3 (2 points) SavedWhat was the main reason for U.S. involvement in Vietnam?Question 3 options:to enforce the policy of containment and prevent the Domino Theory from becoming realityan interest in honoring a commitment to the members of the United Nationsthe decision to honor a treaty agreementUS banana supplies from Vietnam would be interrupted if the country fell to communismQuestion 4 (2 points) Which was a problem for the U.S. military in fighting the Vietnam War?Question 4 options:Guerilla warfare made combat difficult.There was a shortage of soldiers.There was a clearly defined front where fighting was happening.The American army had developed effective supply techniques.Question 5 (2 points) SavedWhich was NOT a reason some people opposed to the Vietnam War in the United States?Question 5 options:Vietnamese civilians were being killed by U.S. bombing raids.The draft unfairly targeted poor and working class men.The United States was interfering in what was essentially a civil war.Troops were not able to meet the demands of fighting a guerilla war.Question 6 (2 points) SavedWhat was one of Richard Nixon's strategies for ending the Vietnam War?Question 6 options:limiting troops to positions south of an imaginary line between the two countriestraining and supplying the South Vietnamese to take over full responsibility for the warpreventing bombing outside of Vietnam so that the war would not escalate to other countriesagreeing to pay reparations to North Vietnam for civilian deathsQuestion 7 (2 points) SavedWhat was the outcome of the Vietnam War?Question 7 options:Vietnam loses to China and became a colony again.The North Vietnamese win and Vietnam becomes a democratic nation.The North Vietnamese take the capital of Saigon, and Vietnam becomes a united, communist nation.The South Vietnamese take the capital of Hanoi, and Vietnam becomes a united, democratic nation.Question 8 (2 points) What inspired an increase in new youth movements in the early sixties?Question 8 options:Student acceptance of traditional American values and institutions Civil rights movementthe growth of suburbiaUS involvement in the Korean WarQuestion 9 (2 points) Although Republican Richard Nixon ultimately won the presidency, it was the Democratic National Convention that characterized the election of 1968. What happened there?Question 9 options:Hubert Humphrey was nominated amid protests, the presence of the National Guard, and rioting.Eugene McCarthy was nominated thanks to the efforts of Abby Hoffman and Jerry Rubin.Lyndon Johnson was nominated to give continuity to leadership in Washington.Richard Daly was nominated as a result of his forceful leadership in Chicago.Question 10 (2 points) SavedWhere were students killed as a result of campus unrest and National Guard intervention?Question 10 options:Birmingham State CollegeKent State UniversityMichigan State CollegeMaryland State University Together, discuss the implications of laws in different states, including your own. Take notes in the table: What is the Y-value of the vertex of4x^2+8x-8