What is the image of N for a 300° counterclockwise rotation about the center of the regular hexagon? Will give brainiest only if answered correctly with explanation

What Is The Image Of N For A 300 Counterclockwise Rotation About The Center Of The Regular Hexagon? Will

Answers

Answer 1

Answer:

H

Step-by-step explanation:

here, the question says that the given regular hexagon needs to be rotated counter clockwise 300°, considering the edges labels, each movement from one edge to other is 60° as 360/6 =60.

focus on N and move on anti clockwise.

When N rotates anti clockwise about center from original to position G, is 60°,

when N moves on anti clockwise about center from original to position A is 120°.

similarly, to X is 180°, to E is 240° and to H is 300°.

so, the new position of N when rotated anti clockwise about origin of the hexagon will be at H.


Related Questions

Suppose there is a bond in ABC Company that that pays coupons of 8.5%, and suppose that these coupons are paid annually.


Suppose the face value of the ABC bond is $1000 and the maturity is 11 years.


a) If the appropriate discount rate for this bond is 6%, what would you be willing to pay for ABC’s bond?


b) If a comparable company, XYZ, has a 7.0% coupon bond with a maturity of 9 years and a face value of 1000, and that bond is trading in the market for $994.50, what would you be willing to pay for ABC’s bond?


c) Suppose you find that the true fair value for ABC bond is $1200.00, but you see that the bond trading for $1051.00, what would you recommend?

Answers

Answer:

$1197.17185

Step-by-step explanation:

ABC bond :

Par value of bond (FV) = 1000

Period (n) = 11 years

Coupon rate (r) = 8.5% annually

Discount rate (r) = 6% = 0.06

The coupon price = 8.5% of par value

Coupon price (C) = 0.085 * 1000 = 85

Current price of bond can be computed using the relation:

= C * [1 - 1 / (1 + r)^n] / r + (FV / (1 + r)^n)

85 * [1 - 1/(1+0.06)^11]/0.06 + 1000/(1 + 0.06)^11

85 * 7.8868745 + 526.78752

670.38433 + 526.78752 = $1197.17185

what is the measure of arc angle EG

Answers

Answer:

80 = EG

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

40 = 1/2 EG

Multiply each side by 2

80 = EG

Answer:

80 deg

Step-by-step explanation:

Theorem:

The measure of an inscribed angle is half the measure of the intercepted arc.

m<EFG = (1/2)m(arc)EG

40 deg = (1/2)m(arc)EG

m(arc)EG = 2 * 40 deg

m(arc)EG = 80 deg

Ans ASAP.. In pic with steps.. Plz tysm 1rst one BRAINLIEST

Answers

Answer:

The expression for the shaded region is 10x² + 12x .

Step-by-step explanation:

First, you have to find the area of both rectangles using the formula :

[tex]area = length \times height[/tex]

Small rectangle,

[tex]area = x \times (5x - 2)[/tex]

[tex]area = 5 {x}^{2} - 2x[/tex]

Large rectangle,

[tex]area = (3x + 2) \times 5x[/tex]

[tex]area = 15 {x}^{2} + 10x[/tex]

In order to find the shaded region, you have to subtract the smaller from the larger one :

[tex]area \: of \: shaded = large - small[/tex]

[tex]area = 15 {x}^{2} + 10x - 5 {x}^{2} + 2x [/tex]

[tex]area = 10 {x}^{2} + 12x[/tex]

Which triangle’s area can be calculated using the trigonometric area formula?

Answers

Answer: Triangle LKM, HGJ,

Explanation:

In order for a triangle to be calculated by using trigonometric area formula that triangle must be given 2 sides and 1 angle (SAS)

Answer:

Triangle klm

Step-by-step explanation:

edg 2020

Volume of a Triangular Prism
Instructions: Find the volume of each figure. Round your answers to the nearest tenth, if necessary.

Answers

Answer:

348 km³

Step-by-step explanation:

The volume of the triangular prism can be calculated using the formula, Volume = base area of the prism*the length of the prism

Base area of the prism = area of triangle =  ½*base of the triangle*height of the triangle

Base of the triangle = 12 km

Height of the traingle = 5.8

Therefore,

Base area = ½*12*5.8

= 6*5.8

Base area = 34.8 km²

Length of prism = 10 km

Volume of prism = base area*prism length

= 34.8*10

Volume of triangular prism = 348 km³

Rewrite [tex]\frac{200x - 300}{x}[/tex] as a sum of two fractions, and simplify.

Answers

Answer:

We can rewrite this as [tex]\frac{200x}{x} + \frac{-300}{x}[/tex].

[tex]\frac{200x}{x}[/tex] simplifies to 200 after eliminating x from the numerator and denominator and [tex]\frac{-300}{x}[/tex] becomes [tex]-\frac{300}{x}[/tex] so the final answer is [tex]200 - \frac{300}{x}[/tex].

Will give BRAINLIEST to best answer One way to explore a career opportunity is to work as a trainee in your field of interest to gain practical experience. In this experience you would be known as a(n). A intern B. mentor C. tutor D. volunteer

Answers

Answer:

A. Intern

Step-by-step explanation:

Usually as a intern, you go around gaining experience about something. For example, if your a fresh graduate , you would first be hired as an intern to gain experience in the job you want.

Answer:

B:Mentor

Step-by-step explanation:

x=y-y and 2x+4y=10 solve using substitution​

Answers

Answer:

(0, 2.5)

Step-by-step explanation:

Well we substitute y-y into x in the following equation,

2x + 4y = 10

2(y-y) + 4y = 10

2y - 2y + 4y = 10

Combine like terms

2y - 2y = 0

4y = 10

10/4

y = 2.5

If y is 2.5 we can plug those into y.

2x + 4(2.5) =10

2x + 10 = 10

-10

2x = 0

0/2

x = 0

what is the value of 24% of 800?
Question of mathematics​

Answers

192.
We simply multiply 800 and 24% (0.24)
800(0.24) = 192

Answer:

[tex] \huge \boxed{192}[/tex]

Step-by-step explanation:

[tex]24\% \: of \: 800[/tex]

By definition of p% = p/100

[tex] = \frac{24}{100} \times 800[/tex]

Reduce the numbers with Greatest Common Factor 100

[tex] = 24 \times 8[/tex]

Multiply the numbers

[tex] = 192[/tex]

Hope I helped!

Best regards!!

A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of pi

Answers

Answer:

288π

Step-by-step explanation:

V=4 /3πr^3 is the formula. We have the diameter, so the radius is half (6). We now have V=4 /3π(6)^3 = 4/3π216 = 288π.

Find the slope and y-intercept of each line:
a. (x+2)(x+3)=(x-2)(x-3)+y
b. x=my+b

Please show workings, and I won't accept nonsense answers! Don't answer the question if you don't know what it means!!​

Answers

Answer:

See below

Step-by-step explanation:

Part A:

[tex](x+2)(x+3) = (x+2)(x-3) + y[/tex]

Resolving Parenthesis

[tex]x^2+3x+2x+6=x^2-3x-2x+6+y\\x^2+5x+6 = x^2-5x+6+y[/tex]

Subtracting [tex]x^2[/tex] and 6 to both sides

[tex]5x= -5x+y[/tex]

Adding 5x to both sides

[tex]y = 5x+5x\\y = 10x[/tex]

Comparing it with [tex]y = mx+b[/tex] where m is the slope while b is the y-intercept

So,

Slope = m = 10

Y-intercept = b = 0

Part B:

[tex]x = my+b[/tex]

Subtracting b to both sides

[tex]my = x-b[/tex]

Dividing both sides by m

[tex]y = \frac{x-b}{m}\\ y = \frac{x}{m} - \frac{b}{m}[/tex]

Comparing it with [tex]y = mx+b[/tex] where m is the slope while b is the y-intercept

So,

Slope = m = [tex]\frac{1}{m}[/tex]

Y-intercept = b = [tex]-\frac{b}{m}[/tex]

Si tienes 24 tubos de 6 metros de longitud cada uno para unir dos puntos que conducen agua , si los tubos fueran de 8 metros ¿ cuantos tubos se necesitarían?

Answers

Answer:

Se necesitarían:

18 tubos

Step-by-step explanation:

La longitud total de la tubería con 24 tubos de 6 metros cada uno es:

24*6 = 144 metros

si los tubos fuesen de 8 metros:

144/8 = 18

Se necesitarían:

18 tubos

Identify whether the relations given in the options are functions or not.

Answers

Answer:

Graphs 1, 2, and 3 are not functions. Graph 4 is a function.

Step-by-step explanation:

Use the vertical line test.

Imagine a vertical line moving from left to right.

If in any position of the vertical line, it intersects more than one point on the graph, then it is not a function.

In graphs 1 and 2 it is clear that there are many vertical lines than would intersect the graph at more than one point.

In graphs 3, a vertical line would intersect the vertical parts of the graph at more than 1 point, so graph 3 is not a function.

The only function is graph 4.

The relations given in options 1, 2, and 3 are not functions only Graph 4 is a function.

What is the function?

A function is an expression, or rule that defined the relation between two variables.

If we use the vertical line test.

Imagine a vertical line moving from left to right.

If in any position of the vertical line, it intersects more than one point on the graph, then it is not a function.

In graphs 1 and 2 it is clear that there are many vertical lines than would intersect the graph at more than one point.

In graph 3, a vertical line would intersect the vertical parts of the graph at more than 1 point, so graph 3 is not a function.

Learn more about function here;

https://brainly.com/question/21145944

Which is the mean for this data? 1,2,5,5,6,6,7,8

Answers

Answer:

5

Step-by-step explanation:

First you need to add all the digits so 1 +2+5+5+6+6+7+8 = 40

Then, divide that by the number of digits which is 8.

Therefore, 40/8 = 5, which is the answer.

I hope this helped!

Simplify $\frac{2\sqrt[3]9}{1 + \sqrt[3]3 + \sqrt[3]9}.$

Answers

Let [tex]x=\sqrt[3]{3}[/tex] and [tex]x^2=\sqrt[3]{9}[/tex]. Then

[tex]\dfrac{2\sqrt[3]{9}}{1+\sqrt[3]{3}+\sqrt[3]{9}}=\dfrac{2x^2}{1+x+x^2}[/tex]

Multiply the numerator and denominator by [tex]1-x[/tex]. The motivation for this is the rule for factoring a difference of cubes:

[tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]

Doing so gives

[tex]\dfrac{2x^2(1-x)}{(1+x+x^2)(1-x)}=\dfrac{2x^2(1-x)}{1-x^3}[/tex]

so that

[tex]\dfrac{2\sqrt[3]{9}}{1+\sqrt[3]{3}+\sqrt[3]{9}}=\dfrac{2\sqrt[3]{9}(1-\sqrt[3]{3})}{1-3}=\sqrt[3]{9}(\sqrt[3]{3}-1)=3-\sqrt[3]{9}[/tex]

If you flip a coin three times in the air, what is the probability that tails lands up all three times? A. 1/2 B. 1/8 C. 1/4 D. 1/6

Answers

Answer: A) 1/2

Step-by-step explanation:

Answer:

If you flip a coin three times in the air, what is the probability that tails lands up all three times?

Step-by-step explanation:

1/2

Write an equation to represent the following statement. k divided by 1 is 7. Solve for k. k=

Answers

Answer:

[tex]\boxed{k = 7 }[/tex]

Step-by-step explanation:

Given Condition is:

[tex]\frac{k}{1} = 7[/tex]

Multiplying both sides by 1

k = 7*1

k = 7

11/10= x+2/5 Please Explain

Answers

Answer:

x=7/10

Step-by-step explanation:

2/5=4/10

11/10=x+4/10

11/10-4/10=x

7/10=x

Answer:

x=7/10 or 0.7

Step-by-step explanation:

I turned the fractions into decimals

so

1.1=x+0.4

subtract 0.4 from 1.1 to get 0.7

Turn it into a fraction which is 7/10

Find the tangent of the angle in between the lines 2x+3y–5=0 and 5x=7y+3?

Answers

Answer:

tanФ = 2.6363636

Step-by-step explanation:

To find the tangent of the angle in-between the lines we will follow the steps below:

We are going to use the formula;

tanФ = |m₂ - m₁  / 1 + m₁m₂|

We can get the slope m₁ from the first equation

2x+3y–5=0

we will re-arrange it in the form y=mx + c

3y = -2x + 5

Divide through by 3

y = -[tex]\frac{2}{3}[/tex]x + [tex]\frac{5}{3}[/tex]

comparing the above equation with y=mx + c

m₁ =  -[tex]\frac{2}{3}[/tex]

We will proceed to find the second slope m₂ using the second equation

5x=7y+3

we will re-arrange it in the form y=mx + c

7y = 5x -3

divide through by 7

y = [tex]\frac{5}{7}[/tex] x -  [tex]\frac{3}{7}[/tex]

comparing the above with y=mx + x

m₂ = [tex]\frac{5}{7}[/tex]

we can now go ahead and substitute into the formula

tanФ = |m₂ - m₁  / 1 + m₁m₂|

tanФ = | [tex]\frac{5}{7}[/tex] -  (-[tex]\frac{2}{3}[/tex] ) / 1 +  (-[tex]\frac{2}{3}[/tex]₁)( [tex]\frac{5}{7}[/tex])|

tanФ = | [tex]\frac{5}{7}[/tex] +[tex]\frac{2}{3}[/tex]  / 1 -  [tex]\frac{10}{21}[/tex]|

tanФ = | [tex]\frac{29}{21}[/tex] / [tex]\frac{11}{21}[/tex]|

tanФ = | [tex]\frac{29}{21}[/tex] × [tex]\frac{21}{11}[/tex]|

21 will cancel-out 21

tanФ =[tex]\frac{29}{11}[/tex]

tanФ = 2.636363

PLs answer ASAP will make you brainlist

Answers

Answer:

[tex]\boxed{\sf A. \ 36}[/tex]

Step-by-step explanation:

The triangles are congruent. The sides are proportional.

Let x be the length of FQ.

[tex]\frac{24}{18} =\frac{x}{27}[/tex]

[tex]\sf Multiply \ both \ sides \ by \ 27.[/tex]

[tex]\frac{24}{18}(27)=\frac{x}{27}(27)[/tex]

[tex]36=x[/tex]

Please help me with this question. refer to the image first.

5. The diagram below shows three circles. Circle A has a radius of 2 cm and circle B has a
radius of 1 cm.

PQ is a common tangent and all circles touch one another. Find the radius of the smallest
circle. PL5​

Answers

Answer: The radius of the small circle is about 0.85 cm - 0.95 cm

Explanation: I am not completely sure but I drew the same figure with the same lengths as given and between both circles there is almost a gam of 2.5 - 3 cm and when we draw a circle between them the diameter is about 1.7 - 1.9 so dividing the diameter by 2 to get the radius we get 0.85 cm - 0.95 cm.

Answer:

o.85 to 0.95

Step-by-step explanation:

I got to go so I don' have time to explain!

Classify the following triangle. Check all that apply.
A. Obtuse
B. Isosceles
C. Scalene
D. Equilateral
E. Acute
F. Right

Answers

Answer:

isosceles

Step-by-step explanation:

I need the answer and maybe someone can tell me how to do it? Please and Thanks!! :))

Answers

Answer:

83

Step-by-step explanation:

The 126 angle is an exterior angle of the triangle.

The 43 and x angles are the two remote interior angles of the 126 angle.

Theorem:

The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.

x + 43 = 126

x = 83

Answer:

x = 83

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

126 = x+43

Subtract 43 from each side

126-43 = x+43-43

83 = x

Find the area of the triangle.

Answers

Answer:

10.5 cm^2

Step-by-step explanation:

Since we have two sides and the angle between those sides, we can use the alternative area formula:

[tex]A=\frac{1}{2}ab\sin(C)[/tex]

a and b are the two sides while C is the angle in between the two sides.

Plug in the numbers:

[tex]A=\frac{1}{2}(7)(6)\sin(150)[/tex]

Recall the unit circle. Sin(150) is 1/2.

[tex]A=21(\frac{1}{2})[/tex]

[tex]A=21/2=10.5cm^2[/tex]

Sunland Mining Company purchased land on February 1, 2020, at a cost of $975,900. It estimated that a total of 57,600 tons of mineral was available for mining. After it has removed all the natural resources, the company will be required to restore the property to its previous state because of strict environmental protection laws. It estimates the fair value of this restoration obligation at $110,700. It believes it will be able to sell the property afterwards for $123,000. It incurred developmental costs of $246,000 before it was able to do any mining. In 2020, resources removed totaled 28,800 tons. The company sold 21,120 tons.

Answers

Sunland Mining Company purchased land on February 1, 2020, at a cost of $975,900. It estimated that a total of 57,600 tons of mineral was available for mining. After it has removed all the natural resources, the company will be required to restore the property to its previous state because of strict environmental protection laws. It estimates the fair value of this restoration obligation at $110,700. It believes it will be able to sell the property afterwards for $123,000. It incurred developmental costs of $246,000 before it was able to do any mining. In 2020, resources removed totaled 28,800 tons. The company sold 21,120 tons.

Calculate :

a. Per unit mineral cost.

b. Total material cost of December 31, 2020, inventory

c.  Total materials cost in cost of goods sold at December 31, 2014.

Answer:

a. Per unit mineral cost  is $21

b. Total material Cost of ending inventory is $161280

c. Total materials cost in cost of goods sold is  $443520

Step-by-step explanation:

The Per unit mineral cost can be computed as follows:

Details                                           Amount ($)

Cost of land                                  975900

Add: Restoration obligation         110700

Add: Development cost              246000  

                                                     1332600

Less: Resale value of property    123000

Total cost of land                         1209600  

Divide:Total estimated cost            57600  

of minerals    

Per unit mineral cost                               21

b. The ending inventory cost on December 31, 2020 can be calculated as follows:

Ending inventory = Total mined tons - sold tons

Ending inventory = 28800 - 21120

Ending inventory = 7680

Cost per ton= $21

Cost of ending inventory = 7680 × $21

Cost of ending inventory = $161280

c.To calculate the cost of goods sold in December 2020; we have:

Cost per ton = $21

Total units sold = 21120

Cost of goods sold = 21120 × $21

Cost of goods sold = $443520

What is the simplified form of m-4+m

Answers

Answer:

2m - 4

Step-by-step explanation:

Add m and m.

Hope this helps :)

Answer:

[tex]\boxed{2m+4}[/tex]

Step-by-step explanation:

[tex]m-4+m[/tex]

Combine like terms.

[tex]m+m-4[/tex]

[tex]2m-4[/tex]

What the answer now hurry up and answer fast question

Answers

Answer:

927.0 cm²

Step-by-step explanation:

Step 1: find Z

m < Z = 180 - (28 + 118) (sum of ∆)

= 180 - 146

Z = 34°

Step 2: Find side XY using the law of sines

[tex] \frac{XY}{sin(34)} = \frac{42}{sin(28)} [/tex]

Cross multiply

[tex] XY*sin(28) = 42*sin(34) [/tex]

[tex]XY*0.469 = 42*0.559[/tex]

Divide both sides by 0.469

[tex]\frac{XY*0.469}{0.469} = \frac{42*0.559}{0.469}[/tex]

[tex]XY = 50.06[/tex]

XY ≈ 50 cm

Step 3: find the area.

Area of ∆ = ½*XY*YZ*sin(Y)

XY ≈ 50 cm

= ½*50*42*sin(118)

= 25*42*0.8829

Area = 927.045

Area ≈ 927.0 cm² (nearest tenth)

Sketch the graph of y = (x - 3)2 - 16, then select the graph that corresponds
to your sketch.
10
-20
20
-5
5
. 10
10
20
A. Graph A
B. Graph B
C. Graph C
Ο Ο
D. Graph D

Answers

Answer:

Please look at the attached graph and select the appropriate answer.

Step-by-step explanation:

Make sure that the graph shows a parabola with branches up, and the vertex situated at the point (3, -16) which corresponds to the double root  x = 3, and the vertical shift that lowers that vertex 16 units below the x-axis.

Please look at the attached picture.

Answer:     Graph   B

Step-by-step explanation:

Anita plans to cover a solid cone with construction paper for a science project. The cone has a diameter of 11 inches and a slant height of 28.5 inches. How many square inches of paper will she need to cover the entire cone? (Use 3.14 for Pi and round to the nearest hundredth. Recall the formula S A = pi r l + pi r squared.) 492.20 in.2 587.18 in.2 982.82 in.2 984..39 in.2

Answers

Answer:

587.18 in²

Step-by-step explanation:

In the above question, we are given the following values

Diameter = 11 inches

Radius = Diameter/2 = 11 inches/2 = 5.5 inches

Slant height = 28.5 inches.

We were asked to find how many square inches of paper will she need to cover the ENTIRE cone.

To solve for this, we would use formula for Total Surface Area of a Cone

Total Surface Area of a Cone = πrl + πr²

= πr(r + l)

Using 3.14 for π

Total Surface Area of a Cone

= 3.14 × 5.5( 5.5 + 28.5)

= 3.14 × 5.5 × (34)

= 587.18 in²

Therefore, Anita will need 587.18 square inches of paper to cover the entire cone.

Answer:

B

Step-by-step explanation: Just trust me bro

given that sin x equals to a over b then what is tan x ​

Answers

Answer:

Hey there!

Sine is equal to opposite/hypotenuse

Tangent is equal to opposite/adjacent

opposite=a

hypotenuse=b

adjacent=c

Thus, tangent x= a/c.

Hope this helps :)

Answer:

tan x = a/sqrt(b^2 - a^2)

Step-by-step explanation:

sin x = a/b = opp/hyp

tan x = opp/adj

adj^2 + opp^2 = hyp^2

adj^2 + a^2 = b^2

adj = sqrt(b^2 - a^2)

tan x = a/sqrt(b^2 - a^2)

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Write an equation that expresses the cost y of renting this saw if it is rented for x days. Question: Using substitution, identify the ordered pair that is not an element of the solution set of the system of equations. 3x y = 2 6x 2y = 4 Answers: (1, 1) (2, 4) (0, 2) (2, 4) Tom is climbing a 3.0-m-long ladder that leans against a vertical wall, contacting the wall 2.5 m above the ground. His weight of 680 N is a vector pointing vertically downward. (Weight is measured in newtons, abbreviated N).A) What is the magnitude of the component of Tom's weight parallel to the ladder? B) What is the magnitude of the component of Tom's weight perpendicular to the ladder? Select the correct answer. The capacity in cubic feet of a cylindrical silo is given by the function C(x), where x is the radius of the silo in feet. The area of the circular base of the silo is given by the function A(x). C(x) = 6.28x3 + 18.84x2 A(x) = 3.14x2 Which function, H(x), represents the height of the silo? H(x) = x + 3 H(x) = 2x 6 H(x) = 2x + 6 H(x) = x 3 Explain the term isomers? For the first time in two years, Big G (the cereal division of General Mills) raised cereal prices by 4 percent. If, as a result of this price increase, the volume of all cereal sold by Big G changed by -5 percent, what can you infer about the own price elasticity of demand for Big G cereal Decide si la siguiente oracin es CORRECTA O INCORRECTA.No quiero tu archivo, quiero el mo.CorrectoIncorrecto You can make the generalization that the baseball communityviews Jackie Robinson as Katrina studied hard for a biology test about the anatomy of a frog, but she did poorly and is using the "glows and grows strategy to figure out why.Which statement best fits the "grows part of this strategy?She understands what is important.She can explain important keywords.She identifies areas for improvement.She has mastered the topic. Jerry solved the system of equations. x minus 3 y = 1. 7 x + 2 y = 7. As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement? The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution. The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7. The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2. The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number. What true bearing is WSW equivalent to? The valve was tested on 240240 engines and the mean pressure was 7.57.5 pounds/square inch (psi). Assume the population standard deviation is 1.01.0. The engineer designed the valve such that it would produce a mean pressure of 7.67.6 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.10.1 will be used. Find the P-value of the test statistic. Round your answer to four decimal places. Is (0, 3) a solution to the following system?Y=-x+3Y=2x-3A No, because it does not check in either equation.B. No, because it does not check in the first equation.C. No, because it does not check in the second equation.D. Yes, because it checks in both equations.