In an equilateral triangle, the length of a side is 10 inches. What is the perimeter of this triangle?

Answers

Answer 1

Answer:

well how many sides are there in one? then multiply it by the number of the one side to how many sides

Step-by-step explanation:

Answer 2

Answer:

30 inches

Step-by-step explanation:

Equilateral means all the sides are the same


Related Questions

I need help on this asap please

Answers

Answer:

450m^2

15m x 10m = 150m^2

20m x 30m = 600m^2

600m^2 - 150m^2 = 450m^2

Answer:

I got ;

900m^2

Step-by-step explanation:

[tex]The -diagram-can-be-divided-into-two-rectangles\\\\RECTANGLE - 1\\Length = 30m\\Breadth = 20m\\Area = Length * Breadth \\A = 30*20\\A =600 m^2\\\\RECTANGLE-2\\Length = 20m\\Breadth = 15m\\Area = Length * Breadth\\A = 20 *15\\A =300m^2\\\\Total -area-of-the-playground :\\600m^2 +300m^2\\= 900m^2[/tex]

Which polynomial identity will prove that 35 = 27 + 8?

Answers

The polynomial to your question is 9

A country has a total biocapacity of 6.21 ha/person, a biocapacity of grazing land of 0.85 ha/person, and a biocapacity of forest land of 2.53 ha/person. Calculate the percentage of biocapacity from grazing and forest land.

Answers

Answer:

44.8 %  

Step-by-step explanation:

Let p = the number of people. Then

Total biocapacity     = 6.21p  ha

Grazing biocapacity = 0.85p ha

Forest biocapacity    = 2.53p      

Grazing + forest        = 2.78p ha

[tex]\text{Percent grazing + forest} = \dfrac{\text{grazing + forest}}{\text{Total}} \times 100 \, \% \\\\= \dfrac{\text{2.78p ha}}{\text{6.21p ha}} \times 100 \, \% = \mathbf{44.8 \,\%}[/tex]

The y-intercept in the linear equation −2y−4x−6=0 is _[blank]_. will give brainliest

Answers

Answer:

-3 is the value of the location where the line crosses the y-axis,and is commonly referred in the slope-intercept form of a line "the intercept". Now it may be your teacher expects you to answer this as the point on the plane where the y-intercept occurs, and that should be the point (0, -3). Make sure you follow your teacher's notation.

Step-by-step explanation:

Re-write the equation given in slope=intercept form by isolating the variable "y" on one side of the equation and expressing the rest in slope*x + y-intercet form:

[tex]-2y-4x-6=0\\-4x-6=2y\\y=-2x-3\\[/tex]

which tells us that the slope of the line is -2 and it y-intercept is "-3".

Now, watch out because you may be asked to write the actual coordinates of the y-intercept, which are: (0, -3)

giving the x-coordinate 0 and the y-value where the line crosses the y-axis.

Answer:

-3.

Step-by-step explanation:

-2y - 4x - 6 = 0

-2y = 4x + 6

y = -2x - 3

So, the y-intercept is (0, -3).

Hope this helps!

Need help quick plz I need this to be right thank u and plz

Answers

Answer:

             1067 cm³

Step-by-step explanation:

[tex]V=10^2\cdot7+\frac13\cdot10^2\cdot(18-7)=700+\frac13\cdot1100=700+366,(6)=1066,(6)\\\\V\approx1067\,cm^2[/tex]

Which triangle results from a reflection across the line x = 1?

Answers

Answer:

Correct answer is option D.

Step-by-step explanation:

Given that [tex]\triangle ABC[/tex] in the image 1 attached.

If we have a look at the image attached, the coordinates are:

[tex]A(1,1)\\B(2,5)\ and\\C(4,1)[/tex]

To find reflection of a point across any line, the distance of points from the line must be same.

Point A(1,1) lies on the line x = 1, so its reflection A' will be at the same point A'(1,1).

Point C(2,5) is at a distance 1 from x = 1 on right side, so C' will be 1 distance on the left side of x = 1 i.e. 1 will be subtracted from its x coordinate.

i.e. C'(1 - 1, 5)

C'(0, 5)

Point B(4, 1) is at a distance 3 from x = 1 on right side, so B' will be 3 distance on the left side of x = 1 i.e. 3 will be subtracted from its x coordinate.

i.e. B'(1 - 3, 1)

B'(-2, 1)

When we plot the above point A', B' and C', we get the option D as correct.

The vertices of the triangle after reflection across the line x = 1 are:

A'(1, 1),

B'(-2, 1),

and C'(0, 6).

The correct option is D.

Given information:

As per the diagram,

The vertices of the triangle are:

A(1, 1),

B(4, 1),

and C(2, 6).

To find the reflection of the triangle across the line x = 1, we can apply the reflection transformation.

The line x = 1 acts as the mirror or reflection axis. To reflect a point across this line, we can imagine folding the image over the line so that the distance between the point and the line is preserved, but the point is now on the other side of the line.

Let's reflect each vertex of the triangle across the line x = 1:

Reflecting point A(1, 1):

The distance between point A and the line x = 1 is 0 since A lies on the line itself. Therefore, the reflection of point A will also be (1, 1).

Reflecting point B(4, 1):

The distance between point B and the line x = 1 is 3 units. Reflecting across the line x = 1 will place B 3 units to the left of the line, resulting in the point (1 - 3, 1), which simplifies to (-2, 1).

Reflecting point C(2, 6):

The distance between point C and the line x = 1 is 1 unit. Reflecting across the line x = 1 will place C 1 unit to the right of the line, resulting in the point (1 - 1, 6), which simplifies to (0, 6).

Therefore, the vertices of the triangle after reflection across the line x = 1 are:

A'(1, 1),

B'(-2, 1),

and C'(0, 6).

To learn more about the reflection;

https://brainly.com/question/11232423

#SPJ6

a line segment has the endpoints of v(0,3) and w(8,9). find the coordinates of its
midpoint

Answers

Answer:

4,6

Step-by-step explanation:

midpoint formular= ½(x¹+x²), ½(y¹+y²)

½(0+8), ½(3+9)

½(8), ½(12)

4,6

I NEED HELP PLEASE, THANKS! :)
A gear of radius 6.1 cm turns at 11 revolutions per second. What is the linear velocity of the gear in meters per second?
v = linear velocity, d = distance traveled, and t = time.

Answers

Answer:

Velocity = 4.22 m/s

Step-by-step explanation:

Time = 1 second

Radius = 6.1 cm

Diameter = 12.2 cm = 0.122 m

Displacement = Revolution × π × Diameter

Displacement = 11 × 3.14 × 0.122

Displacement = 4.22 m

Now, Linear velocity:

Velocity = displacement / Time

Velocity = 4.22 / 1

Velocity = 4.22 m/s

Answer:  4.216 meters per second

Step-by-step explanation:

Notes: Use the following conversions:

                                                                1 revolution = 2π

                                                                100 cm = 1 meter

and the following formula: v = ωr/t where v is in meters per second

[tex]\dfrac{11\ revolutions\times 6.1\ cm}{1\ second}\times \dfrac{2\pi}{1\ revolution}\times \dfrac{1\ meter}{100\ cm}=\dfrac{1.342\pi\ meters}{second}\\\\\\=\large\boxed{\dfrac{4.216\ meters}{second}}}[/tex]

A large stand of fir trees occupies 24 hectares. The trees have an average density of 1 tree per 20m squared. A forester estimates that each tree will yield 300 board-feet. Estimate the yield of the stand if one-tenth of the trees are cut. ​

Answers

Answer:

The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.

Step-by-step explanation:

First, let is find the total amount of fir trees that occupies the area of 24 hectares. (1 hectare = 10000 square meters)

[tex]n = \sigma \cdot A[/tex]

Where:

[tex]\sigma[/tex] - Surface density, measured in trees per square meter.

[tex]A[/tex] - Total area, measured in square meters.

Given that [tex]\sigma = \frac{1}{20}\,\frac{tree}{m^{2}}[/tex] and [tex]A = 24\,h[/tex], the total amount of fir trees is:

[tex]n = \left(\frac{1}{20}\,\frac{trees}{m^{2}} \right)\cdot (24\,h)\cdot \left(10000\,\frac{m^{2}}{h} \right)[/tex]

[tex]n = 12000\,trees[/tex]

It is known that one-tenth of the tress are cut, whose amount is:

[tex]n_{c} = 0.1 \cdot n[/tex]

[tex]n_{c} = 0.1 \cdot (12000\,trees)[/tex]

[tex]n_{c} = 1200\,trees[/tex]

If each tree will yield 300 board-feet, then the yield related to the trees that are cut is:

[tex]y = S\cdot n_{c}[/tex]

Where:

[tex]S[/tex] - Yield of the tress, measured in board-feet per tree.

[tex]n_{c}[/tex] - Amount of trees that will be cut, measured in trees.

If [tex]n_{c} = 1200\,trees[/tex] and [tex]S = 300\,\frac{b-ft}{tree}[/tex], then:

[tex]y = \left(300\,\frac{b-ft}{tree} \right)\cdot (1200\,trees)[/tex]

[tex]y = 360000\,b-ft[/tex]

The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.

if AB is 3/4 and CD is 8/-6 are the parallel, perpendicular or niether

Answers

Answer:

neither

Step-by-step explanation:

parallel lines have the same slope, perpendicular lines' slopes are the negative inverse of eachother.

How many distinct triangles can be formed for which mzA
= 75°, a = 2, and b = 3?
O No triangles can be formed.
One triangle can be formed where angle B is about 15°.
One triangle can be formed where angle B is about 40°.
Two triangles can be formed where angle B is 40° or
140°

Answers

We are given

m∠A = 75 deg

a = 2

b = 3

Apply the Law of Sines.

sin(B)/b = sin(A)/a

sin(B)/3 = sin(75)/2

sin(B) = (3*sin(75))/2 = 1.45

The value of the sin function cannot exceed 1.

This means that the triangle cannot exist.

Answer: No distinct triangles

Answer: A no triangles can be formed

Step-by-step explanation:

Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 1816 students at Franklin High School.

Answers

Complete question is;

Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 1816 students at Franklin High School. Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall?

Answer:

467

Step-by-step explanation:

We are told that 18 out of 70 of the surveyed students' favorite season is fall. This when expressed in fraction, gives; 18/70.

Now we need to multiply this fraction by the total number of Franklin High School students in order to get the estimate for the number of students at Franklin High School whose favorite season is fall. Total number of students = 1816. Thus, estimate is;

1816 × 18/70 = 467

Thus, the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall would be 467.

Find w please help me

Answers

Answer:

w = 77°

Step-by-step explanation:

From the picture attached,

WXYZ is a quadrilateral having 4 interior angles,

m∠y = 90°

Therefore, (2x - 10) = 90°

2x = 90 + 10

2x = 100

x = 50

Now, m∠z = (x + 15)° = 65°

m∠x = (3x - 22)° = 150 - 22

                          = 128°

Sum of interior angles of a polygon = (n - 2)×180°

where n = Number of sides of the polygon

If n = 4,

m∠u + m∠x + m∠y + m∠z = (4 - 2) × 180°

w + 128 + 90 + 65 = 360

w = 360 - 283

w = 77°

Therefore, measure of w = 77°

3x = -2 (MOD. 4) pls

Answers

Answer:

x=-2/3

Step-by-step explanation:

1st you have to get rid of the number next to the x value

so you divide

Answer:

x = -2/3

Step-by-step explanation:

3x = -2

Divide both sides by 3.

3x/3 = -2/3

x = -2/3

The probability that a randomly selected individual in a certain community has made an online purchase is 0.41 . Suppose that a sample of 13 people from the community is selected, what is the probability that at most 3 of them has made an online purchase?

Write only a number as your answer. Round to 2 decimal places (for example 0.24). Do not write as a percentage.

Answers

Answer:

0.15

Step-by-step explanation:

What we can use to solve this problem is the Bernoulli approximation of the Binomial distribution.

When we say at most 3, it means 0 or 1 or 2 or 3 people out of the 13 made the purchase

Mathematically, the Bernoulli approximation is applied as follows

P(X = n) = nCr p^r q^n-r

let p = probability of making online purchase = 0.41

while q = 1-p = 1-0.41 = 0.59 which is the probability of not making an online purchase.

Mathematically for each of the approximations up to 3, we have ;

13C0 P^0 q^13 + 13C1 P^1 q^12 + 13C2 P^2 q^11 + 13C3 P^3 q^10

Making substitutions, we have

{1 * 0.41^0 * 0.59^13} + {13 * 0.41^1 * 0.59^12} + {78 * 0.41^2 * 0.59^11} + {286 * 0.41^3 * 0.59^10}

= 0.150820944904 which is 0.15 to 2 decimal places

Which expression represents a difference of squares ?

Answers

Answer:

first and last options

Step-by-step explanation:

Difference of squares are in the form a² - b². The only choices that satisfy this are 25x² - 36 and 1 - 16x².

Answer:

1 and 4

Step-by-step explanation:

The table below shows the average attendance of school events by the day of the week on which they are held. Average Attendance at School Events Thursday Friday School Play 300 x Band Concert 184 250 Which values of x will indicate an association between the two variables in the two-way table? Check all that apply. 250 304 407 422 714

Answers

Answer:

A , B, E   1,2,5

Your the welcome my audience

Step-by-step explanation:

Answer:

a b e

Step-by-step explanation:

just believe me you $exy hunky man

Determine if each statement is always, sometimes, or never true.
1. Parallel lines are
coplanar.
2. Perpendicular lines are
coplanar.
3. Distance around an unmarked circle can
be measured.

Answers

Answer:

Determine if each statement is always, sometimes, or never true.

1. Parallel lines are

coplanar: Always true

2. Perpendicular lines are

coplanar: Always true

3. Distance around an unmarked circle can be measured: Never true

Step-by-step explanation:

When we are say that lines are coplanar, this means that those lines happen to be or lie in the same plane , a flat surface or a 3- dimensional surface.

Co planar lines may or may not intersect with one another.

Parallel lines and Perpendicular lines are coplanar lines because they are found to be in the same plane. One of their differences is Parallel lines do not intersect with one another while Perpendicular lines intersect with one another.

Hence the statements:

Parallel lines and Perpendicular lines are coplanar is ALWAYS TRUE

Distance around an unmarked circle can be measured. This statement is never true

This is because a circle has to be marked in other to be able to measure it's distance properly. A marked circle will have its diameter and the diameter of a circle is also known as the distance around a circle.

What do the Nineteenth Amendment and the Indian Citizenship Act of 1924
have in common?
O A. They both affected American Indians directly.
O B. They both allowed certain Americans to own property.
O C. They both permitted free expression with some restrictions.
O D. They both provided suffrage to a group of Americans.

Answers

Answer:

D

Step-by-step explanation:

Suffrage is the right to vote, and the nineteenth amendment gave women the right to vote, and the indian citizenship act of 1924 gave native americans the right to vote

PLEASE HELP ME Im confused!!!! Kinah works in a bakery and is making peach pies. She makes 40 pies and uses 6 peaches for each pie. The number of peaches that she uses to make the pies is a function of the number of pies that she makes. Which of these statements describe the domain or range of this function? Select two that apply.

Answers

Answer:

b

Step-by-step explanation:

Soon Yi loves to bake, and she is making flaky pastry. Soon Yi starts with a layer of dough 2 22 millimeters ( mm ) (mm)left parenthesis, start text, m, m, end text, right parenthesis thick. The baking process then involves repeatedly rolling out and folding the dough to make layers. Each time Soon Yi rolls and folds the dough, the thickness increases by 8 % 8%8, percent. What is the smallest number of times Soon Yi will have to roll and fold the dough so that the resulting dough is at least 2.5 mm 2.5mm2, point, 5, start text, m, m, end text thick

Answers

Answer:

3times

Step-by-step explanation:

Baking Process: repeatedly rolling out and folding the dough to make layers

Soon Yi starts with a layer of dough = 2millimeters

Each time Soon Yi rolls and folds the dough, the thickness increases by 8 % = 1 + 8 %

When time = 1

Thickness = 2(1 + 8 %) = 2(1+0.08)

= 2(1.08) = 2.16

For time = n

Thickness = 2(1 + 8 %)^n = 2(1.08)^n

When thickness ≥ 2.5mm, n= ?

2.5 = 2(1.08)^n

2.5/2 = (1.08)^n

1.25 = (1.08)^n

Since the numbers are close (1.25 and 1.08), we can compute by multiplying 1.08 by itself till we get 2.5.

1.08 ×1.08× 1.08 = 1.259712

(1.08)³ is a bit above 1.25

2(1.08)³ satisfies the thickness of at least 2.5mm

Let's check our answer using the formula:

When n = 3

2(1.08)³ = 2 × 1.259712 = 2.519424

This satisfies the thickness of at least 2.5mm

Therefore, the smallest number of times Soon Yi will have to roll and fold the dough so that the resulting dough is at least 2.5 mm = 3

PLEASE HELP!!!
Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. A solid right pyramid with a square base has a base edge measuring 6 inches. Which is the slant height of the pyramid if Helen uses all the clay? 3 inches 4 inches 5 inches 6 inches

Answers

Answer:

Answer is 5 inches on edg

Step-by-step explanation:

Answer:

The correct answer would be 5 inches.

Step-by-step explanation:

trig and picture pls help

Answers

Answer:

Im pretty sure that the answer is 32.

Step-by-step explanation:

Hope this helps

One number is 10 times as large as another, and their difference is 81. Find the numbers. If x represents the smaller number, then the larger number is x + 10 10x

Answers

Answer:

value of x=9

so value of large number is 90 and smaller number is 9

convert the decimal to a simplified fraction 0.8=

Answers

Answer:

4/5

Step-by-step explanation:

You know 0.8 x 10 = 8, so 8/10 is the fraction.  

Now, simplify 8/10.  

8/10 = 4/5

Answer:

4/5

Step-by-step explanation:

Step 1: Convert decimal to fraction

0.8= 8/10

Step 2:Simplify

8/10=4/5

The graph below shows the price of different numbers of beach balls at a store: Which equation can be used to determine p, the cost of b beach balls? b = 5.50p p = 5.50b p = 11b b = 11p

Answers

Answer:

p = 5.50b

Step-by-step explanation:

2 beach balls cost 11

4 beach balls cost 22

6 beach balls cost 33

So each (1) ball b costs 5.50 ($) p

A test has 20 questions. The test awards 3 points if the answer is correct and takes away 1 point if the answer is incorrect. A student answered 5 questions incorrectly. How many points did the student lose? pls answer I need helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllppllllllppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
you can get the crown to answer pls

Answers

Answer:

40

Step-by-step explanation:

15x3 = 45

45-5 =40

3. Solve 6k + 9 > k – 1.
use photo for options ​

Answers

Answer:

k > - 2

Step-by-step explanation:

Given

6k + 9 > k - 1 ( subtract k from both sides )

5k + 9 > - 1 ( subtract 9 from both sides )

5k > - 10 ( divide both sides by 5 )

k > - 2

Answer:

k> -2

Step-by-step explanation:

6k + 9 > k – 16k - k > - 1 - 95k > -10k > -10/5k> -2

Juan hiked to the top of a 3,000-foot mountain and back down without taking a break. Which graph best represents Juan's distance from the top of the mountain during the entire hike?

Answers

Answer:

Top left graph.

Step-by-step explanation:

If Juan didn't take a break, there is no plateau/flat line. And if he started hiking up and then down, then the graph should be an upside-down V shape.

Answer:

Graph A is the most acuurate

What are the equilibrium price and equilibrium quantity in this situation?

Answers

Answer:

The equilibrium price is $2.00, and the equilibrium quantity is 5,000 pounds.

Step-by-step explanation:

edmentum answer

The equilibrium price is $2.00, and the equilibrium quantity is 5,000 pounds.

What is the equilibrium price?

The equilibrium price is the simplest price in which the plans of clients and the plans of producers agree—that is, wherein the quantity clients need to shop for of the product, quantity demanded, is the same as the amount producers need to sell, amount furnished. This not unusual amount is called the equilibrium quantity.

What is the equilibrium price?

Equilibrium quantity is when there's no shortage or surplus of a product within the marketplace. Supply and demand intersect, which means the amount of an item that consumers need to buy is identical to the quantity being provided by its producers.

Learn more about equilibrium here https://brainly.com/question/13414142

#SPJ2

Other Questions
Which action is most similar to the tactics Hideki Tojo advocated as a generaland political leader in Japan?O A. A country supports nationalist rebellions in colonies dominated byimperial powers.O B. A country chuts off foreign imports in an effort to become totallyself-reliant.O c. A country focuses on domestic problems and largely ignoresinternational issues.O D. A country mobilizes its entire population to pursue a strategy oftotal war.HELP PLEASE!! Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely, then place the answer in the proper location on the grid. x 3 - y 3 solve for x. 7x+4=30 Expand the following bracket -8(2d-3) Carpenters, Inc., a manufacturing company, acquired equipment on January 1, 2017 for $530,000. Estimated useful life of the equipment was seven years and the estimated residual value was $14,000. On January 1, 2020, after using the equipment for three years, the total estimated useful life has been revised to nine total years. Residual value remains unchanged. The company uses the straight-line method of depreciation. Calculate depreciation expense for 2020. (Round any intermediate calculations to two decimal places, and your final answer to the nearest dollar.)A. $50,476B. $58,889C. $49,143D. $57,333 Please answer it now in two minutes What decisions were made by the Supreme Court under Earl Warren? you are on the airplane, about to fly to an exotic location. How do acceleration, speed and inertia work to overcome the forces of gravity and air resistance during the take-off? two number are on the ratio 2:3.if 12 is added to both the numbers,ratio becomes 5:6.find the numbers The length of a rectangular storage room is 5 feet longer than its width. If the area of the room is 66 square feet, find the dimension. how many square yards are contained in a rectangle 12 yards long and 8 yards wide Read and choose the option that best answers the question. Hola! Mi nombre es Rosita y vivo en Cartagena, Colombia. Tengo 16 aos y estoy en la escuela superior. Todas las escuelas superiores en Colombia tienen cuatro rutas diferentes, desde un ao a cinco aos de estudios: programas tcnicos, tecnolgicos, docentes y profesionales. Los programas docentes y tecnolgicos son los ms largos. Yo estudio en el programa tcnico. Quiero ser jardinera. Cuando terminas los dos aos del programa tcnico, puedes comenzar a trabajar inmediatamente sin ir a la universidad. En las carreras profesionales necesitas estudiar ms que en las carreras tcnicas y necesitas ir a la universidad. En los Estados Unidos hay carreras tcnicas, pero no en todas las escuelas. En Estados Unidos, despus de terminar los estudios tcnicos o generales en cuatro aos, puedes ir a la universidad para los estudios profesionales. Based on the text and what you learned in the lesson, what is a similarity between high schools in Colombia versus the United States? Both countries offer technical programs in all high schools. Both countries offer general programs in all high schools. Both countries require university studies for technical programs. Both countries require at least two complete years in school. The voltage in a lightbulb is given by the equation V = IR. In this equation, Visthe voltage, / is the current, and Ris the resistance. What is the resistance in alightbulb with a voltage of 25 V and a current of 0.2 A? MnBr2 molecular or ionic:name:molecular or ionic if the 50th and 51st terms of an arithmetic sequence are 140 and 142, find the 1st term A companys weighted average cost of capital is 10.8% per year and the market intrinsic value of its debt is $33.1 million. The companys free cash flow next year is expected to be $4.7 million and the free cash flow is expected to grow forever at a rate of 3.7% per year. If the company has three million shares of common stock outstanding, what is the intrinsic value per share? Question 6 options: A) $13.72 B) $9.48 C) $11.03 D) $12.24 E) $15.12 Which of the following is equal to the polynomial given above? Which of the following systems of nonlinear inequalities is graphed below? Clara found the product of 3 6y2 and y2 + 2. Her work is shown below. (3 6y2)(y2 + 2) = 3(y2) + (6y2)(2) = 3y2 12y2 = 9y2 Is the students work correct? No, she did not multiply 6y2 by 2 correctly. No, she did not add 3y2 and 12y2 correctly. No, she did not use the distributive property correctly. Yes, she multiplied the binomials correctly. Calculate the distance between the points G=(-9, 8) and H=(-2, 2) in the coordinate plane.Give an exact answer (not a decimal approximation).10+8Distance: 0+-10-8-6-4- 226810-S-10