Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line x + 2y = 6?

write each choice into the boxes to correctly complete the table. *picture below *

Is Each Line Parallel, Perpendicular, Or Neither Parallel Nor Perpendicular To The Line X + 2y = 6?write

Answers

Answer 1

Step-by-step explanation:

in order to be able to decide each case we need the slopes of all involved lines.

and that means we need to bring all of the equating into a "y = ..." form, because then the slope is always the factor of x.

parallel lines have the same slope.

the slopes of perpendicular lines (intercept at a right angle) have the y/x ratio turned upside-down and a flipped sign : -x/y.

"neither" is everything else.

our reference line

x + 2y = 6

2y = -x + 6

y = -1/2 x + 3

so, the reference slope is -1/2.

y = -1/2 x - 5 is parallel (same slope).

-2x + y = -4

y = 2x - 4 perpendicular (2/1 vs. -1/2)

-x + 2y = 2

2y = x + 2

y = 1/2 x + 1 neither

x + 2y = -2 parallel (as the structure except for the constant part is the same as our reference line).

2y = -x - 2

y = -1/2 x - 1


Related Questions

a hospital director is told that 54% of the treated patients are insured. the director wants to test the claim that the percentage of insured patients is below the expected percentage. a sample of 200 patients found that 100 were insured. find the value of the test statistic. round your answer to two decimal places.

Answers

The value of test statistic is  -1.14

Define Standard error.

The standard error (SE)of a statistic (usually an estimate of a parameter) is the standard deviation of its sampling distribution or an estimate of that standard deviation. If the statistic is the sample mean, it is called the standard error of the mean (SEM).

Null Hypothesis

P = 0.54

Alternate Hypothesis

P < 0.54

For 0.05 level , the value of Z = 1.645

Decision rule ,

reject null Hypothesis if test statistic Z < -1.645

sample size (n) = 200

sample success (x) = 100

Standard error SE = √(p * (1 - p) / n

                         = √0.54 * (1 - 0.54) / 200

Standard error SE= 0.0352

Sample proportion (р)  = x/n

                               = 100 / 200 ⇒ 0.5

test statistic  Z = (р - P) / SE

                         = (0.5 - 0.54) / 0.0352

test statistic  Z = -1.136 or -1.14

Therefore, the value of test statistic is  -1.14

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HELP the price of gasoline purchased varies directly with the number of gallons purchased if 10 gallons of gasoline are purchased for$23 what will be the price of 50 gallons be?

Answers

Answer:

Step-by-step explanation:

It will be 115$

Answer:  the answer is $21.7391304348 or round to $21.74 is the cost for 50 gallons

Step-by-step explanation: I did the calculations and it costs $2.30  a gallon

HELPPP MEEeeeeeeeeee

Answers

I’m pretty sure its side NM

So side NM is congruent to side TR
answer to which side is congruent to TR is NM

Explanation- they tell you NMK is =~ to TRP. When they do this, they are telling you
NM =~ TR
Vertices M =~ R
MK =~ RP

So the answer to which side is congruent to TR is NM

if f represents the number of lots of fliptop pens to produce and t represents the number of lots of tiptop pens to produce, the linear programming model for this problem is:

Answers

The linear programming model for this problem is Max 1000F + 1000T

Given that,

If the quantity of flip top pens to be produced is f and the quantity of tiptop pens to be produced is t, then

Number of lots of Flip top pens to produce = F

Number of lots of Tip top pens to produce = T

Therefore, The linear programming formulation is given by:

Max 1000F + 1000T

s.t.

Plastic: 3F + 4T <= 39

Ink Assembly:  5F + 4T <= 45

Molding time: 5F + 2T <= 37

F, P >= 0

Hence, the linear programming model for this problem is Max 1000F + 1000P

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a box of buttons contains the same number of each type of button
it contains 220g of buttons
how many of each button are in the box
Button A=8 grams
Button B = 12 Grams

Answers

The number of buttons A will be 11. And the number of buttons B will be 11.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A container of buttons contains a similar number of each kind of button it contains 220g of buttons. The weight of the button is given as,

Button A=8 gramsButton B = 12 Grams

Let x be the number of each button. Then the equation is given as,

8x + 12x = 220

20x = 220

x = 11

The number of buttons A will be 11. And the number of buttons B will be 11.

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0.1 times n equals 89.5

Answers

Answer: n=895

Step-by-step explanation:

Answer:

n = 895

Step-by-step explanation:

Here we want to find n , 1st form the Equation then solve it for n

0.1 times n = 0.1n

0.1 times n equal 89.5

Then 0.1n = 89.5

Solve for n , b dividing both sides by 0.1

n = 89.5 / 0.1 = 895

a pair of shoes is on sale, the original price is $150.99 and they are 30% whats a new price after the discount?

Answers

Answer:

Price after discount is $105.69

Step-by-step explanation:

It is assumed 30% is the discount.

Original price is $150.99, discount is 30%, sale price is:

150.99 - 30% = 150.99 × (1 - 0.3) = 150.99 × 0.7 = 105.69 (rounded)

does this equal to 10 or 5 I’m confused I’ll brainlist .

Answers

Answer:

x = 5

Step-by-step explanation:

3x + 5 = 2x + 10

subtract 5 from both sides:

3x + 5 - 5 = 2x + 10 - 5

3x = 2x + 5

subtract 2x from both sides:

3x - 2x = 2x + 5 - 2x

x = 5

the little twelve basketball conference has two divisions, with six teams in each division. each team plays each of the other teams in its division twice and every team in the other division once. how many conference games are scheduled?

Answers

There are 96 basketball conference games are scheduled.

What is termed as the division?Multiplication is the reciprocal of division. If 3 groups of 4 add up to 12, then 12 classified into three groups of equal size results in 4 in each group. Developing equal groups or defining how many people are within each group after a fair distribution is the basic function of division.

For the given question;

Every squad competes in ten games within its own division and six games against opponents from the opposing division. The 12 teams thus play a total of 16 conference games.

There are N games on the schedule because there are two teams in each game.

N = 12×16/2

N = 96

Thus, there are 96  basketball conference games are scheduled.

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Complete the table and answer the questions that follow. (If a root occurs twice, count it twice; if
thrice, count it three times, and so on. The first one is done
Polynomial Equation
1. (x+1)² (x-5) = 0
2. X-9 0
3. (x+8) (x-8)= 0
4. x² + 3x +2=0
(x+1)(x+2) = 0
5. (x² - 4x + 4)(x-3)²
(x-2)(x-2)(x-3)(x-3) = 0
6. 2
7. (x-3)(x + 1)(x - 1) = 0
8. (x²-4)(x-3)³ = 0
(x+2)(x-2)(x-3)(x-3)(x-3)=0
9. x(x-4)(x + 5)(x - 1) = 0
10. (x + 1)5 (x - 1)² =0
Degree
3
Real Roots of the
Equation
-1 (2times); and 5
Number of Real Roots
3

Answers

An equation of the form P=0 is referred to as a polynomial equation. P is a polynomial with coefficients in some field, typically the field of the rational numbers. A polynomial equation, on the other hand, can include a number of variables. The phrase polynomial equation is typically preferred over algebraic equation when discussing situations with multiple variables.

What is Polynomial Equation ?

One or more variables, coefficients, and non-negative integer exponents of variables make up a polynomial, which is an expression. A mathematical statement that has a "equal to" symbol between two algebraic expressions with equal values is called an equation.

Sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials.

4x² + 6x + 21=0 where 4x²+6x+21 is considered as a polynomial expression which is written on the left side and has been fixed to make the polynomial expression equal to zero to form a complete polynomial equation.

1 Already answered

2 Degree:1 Real Roots of an equation:8 Number of Real Roots:1

3 Degree:2 Real Roots of an equation:2,-2 Number of Real Roots:2

4 Degree:5 Real Roots of an equation:-1,1-3,-3,-3 Number of Real Roots:5

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A tree that is 10 feet tall casts a shadow that is 8 feet long. What is the distance from the top of the tree to the tip of the shadow? Round to the nearest tenth.

9.4 feet
12.8 feet
3.2 feet
2.8 feet

Answers

The distance from the top of the tree to the tip of the shadow is 12.8 ft  

 

Pythagorean theorem:

According to the Pythagorean theorem, In a right-angled triangle, the sum of the squares of the side will equal the square of the hypotenuse.
Here hypotenuse is the longest side.

=> Hoptenuse² = side² + side²

Here we have

The length of the tree = 10 feet

Length of shadow = 8 feet

Here we need to find the distance from the top of the tree to the tip of the shadow  

If we join the top of the tree to the tip of the shadow we will observe a right-angled triangle as shown below

From the figure,

AC² = AB² + BC²    [ ∵ ABC is right angle triangle ]

=> AC² = 10² + 8²  

=> AC² = 100 + 64

=> AC² = 164

=> AC = 2√41

=> AC = 12.8 ft

Therefore,

The distance from the top of the tree to the tip of the shadow is 12.8 ft  

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Answer:

b) 12.8 feet

Step-by-step explanation:

Now we have to,

→ find the required distance.

Forming the equation,

→ x² = 10² + 8²

Then the distance will be,

→ x² = 10² + 8²

→ x² = 100 + 64

→ x² = 164

→ x = √164

→ [ x = 12.8 feet ]

Hence, distance is 12.8 ft.

Point O is the center of this circle. What is mzBCA?
A. 56
B. 62
C. 72
D.76

Answers

Answer:

B

Step-by-step explanation:

∠ ADB and ∠ AOB sum to 180° , that is

56° + ∠ AOB = 180° ( subtract 56° from both sides )

∠ AOB = 124°

An angle on the circle is half the central angle subtended on the same arc , so

∠ BCA = [tex]\frac{1}{2}[/tex] ∠ AOB = [tex]\frac{1}{2}[/tex] × 124° = 62°

the product of 180 and the positive integer n is a perfect cubic number. what is the least possible value of n?

Answers

The least possible value of n, where the product of 180 and the positive integer n is a perfect cubic number is 150.

so, by the question,

n×180 is a perfect cube

on the prime factorization of 180, we get

180 = 2²×3²×5

so the number should be

n = 2 × 3 × 5² =150

when we multiply both of them we get

180×n = (2²×3²×5)×(2 × 3 × 5²)

          = (2³×3³×5³)

          =(2×3×5)³

          =(30)³

          =27000

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Feng invests money in an account paying simple interest. He invests $70 and no money is added or removed from the investment. After one year, he has $70.70. What is the simple percent interest per year?

Answers

The simple interest is given as PRT/100, thus the simple percent interest per year is 1%.

What is simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year.

As per the given,

Investment = $70

Investment after one year is $70.70

Interset = 70.70 - 70 = $0.70

The interest is given as = PRT/100

0.70 = PR(1)/100

R = (0.70×100)/70

R = 1%

Hence, "The simple interest is given as PRT/100, thus the simple percent interest per year is 1%".

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Evaluate f(x) = 2|x – 5| for f(–5) and f(0).
Question 20 options:

f(–5) = 10, f(0) = 0

f(–5) = 12, f(0) = 5

f(–5) = –20, f(0) = –2

f(–5) = 20, f(0) = 10

Answers

Answer:

D

Step-by-step explanation:

f(-5) = 2|-5-5|

f(-5) = 2|-10|

f(-5) = 2 * 10

f(-5) = 20


f(0) = 2|0-5|

f(0) = 2|-5|

f(0) = 2 * 5

f(0) = 10

In a city school, 60% of students have blue eyes, 55% have dark hair and 20% have neither blue eyes nor dark hair. determine the probability that a randomly selected student will have blue eyes and dark hair

Answers

The probability of of a random student having blue eyes and dark hair

 is 35% .

let consider the total students in the school be (U) = 100%

out of them ,

students having blue eyes (A) = 60%

students having  dark hair (B) = 55%

students with neither blue eyes nor dark hair (A∪B)' = 20%

let the students with blue eyes and dark hair be (A∩B) = x %

Then according to the set theorem

U = n(A∪B) + n(A∪B)'

U = n(A) + n(B) - n(A∩B) + n(A∪B)'

100 = 60 + 55 - x +20

∴ x = 60 + 55 +20 - 100

x = 35 %

So the probability of random student having blue eyes and dark hair is 35% .

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A share of Southside stock sold for $37. The annual dividend is $1.85. Three years later the stock has increased 17% in value and the dividend has increased 5%.
What is the yield 3 years later? Round to the nearest tenth of a percent.

Answers

The price of the share 3 years later, given the increase in value, can be found to be $43.29

How to find the price per share?

The value of the Southside stock sold was $ 37 at the current age. Three years later, this value had increased by 17 %.

This means that the price of the share 3 years later would be:

= Share price currently x ( 1 + increase in value)

= 37 x ( 1 + 17 % )

= 37 x 1. 17

= $ 43. 29

The price is  $43.29

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HELP!!


If a₁ = 3 and an
-
= (an-1)2 + 1 then find the value of a4.

Answers

The required value of a₄ is 10,202 to the given recursive formula.

What is an arithmetic sequence?

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The given recursive formula in the question as:

aₙ = (aₙ ₋₁ )² + 1 ....(i)

And, a₁ = 3

Substitute the value of a₁ = 3 in equation (i), and solve for n = 2

a₂ = (a₁)² + 1

a₂ = (3)² + 1

a₂ = 9 + 1 = 10

Substitute the value of a₂ = 10 in equation (i), and solve for n = 3

a₃ = (10)² + 1

a₃ = 100 + 1 = 101

Substitute the value of a₃ = 101 in equation (i), and solve for n = 4

a₄ = (101)² + 1

a₄ = 10,201 + 1

a₄ = 10,202

Therefore, the required value of a₄ is 10,202.

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In peter class three times as many students who wear glasses are those who do not.there are 28 students in the class. How many students do not wear glasses

Answers

Step-by-step explanation:

In Peter class three times as many students who wear glasses are those who do not.there are 28 students in the class. How many students do not wear glasses?

with glasses: x
without glasses: 3x

x + 3x = 28

4x = 28

x = 7 with glasses

7 * 3 = 21 without glasses

[tex]x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} x^{2} \\[/tex]

Answers

Answer: [tex]x^{26}[/tex]

Step-by-step explanation:

The [tex]x^2[/tex] appears 13 times. Using the exponent rule [tex]x^a x^b=x^{a+b}[/tex], we get that:

[tex]x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2x^2=x^{2(13)}=x^{26}[/tex]

work out

5/6 × 48

120 x 2/3​

Answers

Answer:

1. 130/6

2. 240/3

Step-by-step explanation:

make the whole numbers into a fraction by putting 1 as the denominator.

48/1.

then multiply together.

48 x 5 = 130

6 x 1 = 6

130/6

do the same with the other

120 x 2 = 240

1 x 3 = 3

240/3

Answer:

40

80

Step-by-step explanation:

5/6 × 48

5 × 48 = 240

240/6

= 40

120 × 2/3

120 × 2 = 240

240/3

= 80

Find the x- and y-intercepts of the graph of 8x - 10y = 32. State each
answer as an integer or an improper fraction in simplest form.

Answers

8x-10y=32
8x=10y+32
10y=8x-32

Y=0.8x-3.2
(Fraction form)
y=4/5x - 3(1/5)

There are 103 fifth graders at brookside elementary .for a read thon 5 students read for 100 minutes 25 students read for 50 minutes and rest of the fifth graders read for 30 minutes . how many minutes did the fifth graders read.

Answers

The fifth graders are read for total 180 minutes.

What do you mean by minutes?

A 60-second interval of time. In an hour, there are 60 minutes. For illustration, the time 10:35 is 35 minutes after 10 o'clock. A minute is equivalent to 1/60th of a degree in terms of angles.

According to the given question,

First 5 students read for 100 minutes.

Then, next 25 studenda read for 50 minutes.

And the rest of the fifth graders read for 30 minutes.

Now, we will adding all the minutes to obtain the answer or total minutes of fifth grader read,

Total minutes of fifth graders read= 100+50+30

                                                        =180 minutes.

Therefore, the fifth graders take 180 minutes to read.

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solve the system by substitution

Answers

Answer:

Step-by-step explanation:

since x=y, you can either substitute for x or for y,

lets do x

-3x - x = 4

-4x=4

x=-1

Now we can just plug in

-3(-1) - y = 4

3-y = 4

y=-1

How do you solve this equation to find x?

Answers

Answer: x=10

Step-by-step explanation:

Images below

Help this helps

Please help me solve as soon as possible

Answers

Using the given expression, the number of tiles Mr. Grants will need to buy is 48

Solving an expression to determine the number of tiles

From the question, we are to use the given expression to determine the number of tiles Mr. Grant would have to buy

From the given information,

The given expression is,

27 ÷ s²

and

Mr. Grants decides to buy square tiles that have side lengths of 3/4 foot

That is,

s = 3/4

Now,

Using the given expression

27 ÷ s²

We get

27 ÷ (3/4)²

27 ÷ 9/16

= 27 × 16 / 9

= 3 × 16
= 48

Hence, he will need to buy 48 of the tiles

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The first container has 3 gallons 3 quarts 1 pint of diesel fuel, the second container has 5 gallons 2 quarts of diesel fuel, and the third container has 6 gallons 1 quart 1 pint of diesel fuel. what is the total quantity of diesel fuel?

Answers

The total quantity of diesel fuel is 15.75 gallons.

The total quantity of diesel fuel can be calculated by summing up all the values. But, firstly converting quarts and pint into gallons.

1 quart = 0.25 gallon

For first container, 3 quarts = 0.25 × 3

3 quarts = 0.75 gallon

For second container, 2 quarts = 0.25 × 2

2 quarts = 0.5 gallon

For third container, it has 0.25 gallon

1 pint = 0.125 gallon

For first and third container, it has 0.125 gallon

So, amount of diesel fuel in first container = 3 + 0.75 + 0.125

Amount of diesel fuel in first container = 3.875 gallons

Amount of diesel in second container = 5 + 0.5

Amount of diesel in second container = 5.5 gallons

Amount of diesel in third container = 6 + 0.25 + 0.125

Amount of diesel in third container = 6.375 gallons

So, the total quantity of diesel fuel = 3.875 + 5.5 + 6.375

The total quantity of diesel fuel = 15.75 gallons

Hence, the total quantity is 15.75 gallons.

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Walt Disney Co paid a $1.42 annual dividend on a day it closed at a price of $96 per share.
What was the annual dividend for 500 shares?

Answers

The annual dividend for 500 shares was $710.

How is the annual dividend computed?

The annual dividend is a function of the dividend per share and the number of shares held by a stockholder.

Dividends are always declared per share with a stated dollar amount or percentage.

Dividends represent the portion of the profits earned by an entity that it decides to distribute to the shareholders.

Dividends are a kind of financial reward to stockholders for their investment in the entity.

The dividend per share = $1.42

Market price per share = $96

The number of shares held = 500

The dividend received for the year = $710 ($1.42 x 500)

Thus, the holder of 500 shares in Walt Disney Co. will get $710 in a year the company declared and paid a $1.42 annual dividend.

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Please answer part d

Answers

Answer:

  ∆JGF ≅ ∆GJH by the SAA Postulate

Step-by-step explanation:

Given a figure showing two triangles with a common side, and two marked angles not at either end of that side, you want to know the applicable congruence postulate.

SAA

The letters S and A in the congruence postulate references refer to "Side" and "Angle". The sequence of the letters corresponds to the sequence of corresponding parts in the triangles.

In the given figure, two angles in each triangle are marked with a single arc and a double arc. The triangles share a side that has the double-arc angle at one end. Hence, the sequence of corresponding parts can be seen to be (common) Side - (double-arc) Angle - (single-arc) Angle. The SAA congruence postulate applies.

  ∆JGF ≅ ∆GJH by the SAA Postulate

Find the value of x.

Answers

What is Angle?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

From the figure, we can tell that a transversal is passing through the two parallel lines which makes corresponding angles.

In the given figure 14x+7 and 10x+5 are the two angles formed by the transversal.

14x+7=10x+5

Now take all the variable terms to one side

14x-10x=5-7

4x=-2

Divide both sides by 4

x=-2/4

Divide numerator and denominator by 4

x=-1/2

Hence the value of x is -1/2

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Which type of repetition did the artist use in the image?ColorLineShapeTexture Which describes the MOST LIKELY effect of the mismatch on future birds? A. There could be a shift to earlier reproduction inthe birds.B. The next generations of birds may choose to notreproduce.C. There could be a shift to later reproduction in thebirds.D. The next generations of birds may choose toreproduce more often. how many ways can 7 students be assigned a seat in a classroom if there are 10 seats in a row? a) 70 b) 604,800 c) 120 d) 3,628,800 e) 17 f) none of the above. Explain Capulet's opinion about paris Explain one way that a non-dominant language can diffuse to a wider area. rewrite 16r^2s^2 as a power of a product Are the figures congruent? Use this model to describe unobservable relationships Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) 1.25 for n 1?1, 0.25, 1.5, 2.75, 4, . . .1, 2.25, 3.5, 4.75, 6, . . .4, 2.75, 1.5, 0.25, 1, . . .4, 5.25, 6.5, 7.75, 8 what measure do seismologists use to calculate the distance from a seismic receiving station to the epicenter of an earthquake? group of answer choices the time interval between the first p wave and the last surface wave the magnitude of the ground acceleration of surface wave passing a receiving station the time elapsed between the first p wave arrivals from the first and last aftershocks the time interval between the arrivals of the first p and s waves the amplitude of the strongest s wave How can the narrator's parents be described in chapters 1-4 of Frankenstein?A. Poor farmersB. Distinguished counsellorsC. Military officersD. Migrant workers What was the outcome of SFC walton associates obtained an approved contract in writing. the contract specified that walton would deliver consulting services, and services would begin in one month. payment would also begin in one month. the contract describes the services walton will perform, and also specifies payment terms. either the customer or walton can cancel the contract prior to the start service, without penalty. for purposes of revenue recognition, does walton have a contract on the day the contract is received? Learn how to correctly prepare and observe specimens using _____________________ ______________________ slides. Listed in the Item Bank are some important labels for sections of the image below. Match each label to the corresponding area it identifies in the image.Silicon, Arsenic and AntimonyCan exchange electrons with each other to form ionic compoundsMay have no lusterTin, Calcium and PotassiumHydrogen, Oxygen and ChlorineCan be electrical conductorsComprised of atoms Which statements describe the benefits of social media? Choose three correct answers.Social media can create connections and community.Social media can be used as a tool to organize and engage people.Social media companies are not motivated by profits.Social media companies fact-check all information on their sites.Social media allows for immediate communication.(please help) Apply the distributive property tocreate an equivalent expression.(-7c + 8d)0.6 Can somebody please help with this?Wisconsin Fast Plants are a rapid-cycling form of the species Brassica rapa, a member of the mustard family Cruciferae. They were developed at the University of Wisconsin-Madison by Professor Paul H. Williams to be used by research scientist in the laboratory and now used for hands on investigations throughout the world. In this investigation, two Wisconsin Fast Plants are crossed with the height traits (tall dominant or dwarf recessive) and pigment trait (dominant anthocynanin) and recessive anthocyanin-less). The F1 generation consists of the results below.(a) Predict the P generation genotypes and justify your prediction(b) Perform a chi-square test on the data for the F1 generation. Identify the chi-square value and specify the null hypothesis you are testing.(c) Explain whether your hypothesis is supported by the chi-square test and justify your explanations.(d) Predict how a mutation to the traits would affect the F2 generation. The ratio 20mins to 1 hour can be written in the form 1:n find the value of n. Claims. Evidence Reasoning Howis the structure of a unicellular organismdifferent than the structure of amulticellular organism? How does this affectfunction? Summarize evidence to supportyour claim and explain your reasoning.