A vase is in the shape of a cone. The height is 12 inches and the diameter is 4.4 inches.
What is the lateral surface area to the nearest tenth of a square inch?
O
O
24.3 square inches
149.1 square inches
168.6 square inches
99.5 square inches

Answers

Answer 1

84.27 square inch is the lateral surface area of cone.

Define lateral surface area.

All of an object's sides, excluding its base and top, are considered its lateral surface. The size of the lateral surface is referred to as its area. This must be distinguished from the total surface area, which consists of the base and top areas as well as the lateral surface area. A figure's lateral area consists solely of the non-base faces. The lateral surface area of several forms, such as a cuboid, cube, cylinder, cone, and sphere, is discussed in this article.

Given,

Height = 12 inches

Diameter = 4.4 inches

Radius = 2.2 inches

Lateral surface area:

πr√h² + r²

3.14 × 2.2 √(12)² + (2.2)²

3.14 × 2.2 √144 + 4.84

3.14 × 2.2 √148.84

3.14 × 2.2(12.2)

3.14 × 26.84

84.27

84.27 square inch is the lateral surface area of cone.

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Related Questions

Dejah is comparing two numbers shown in scientific notation on her calculator. The first number was displayed as 7.156E25 and the second number was displayed as 3.498E-10. How can Dejah compare the two numbers?

Answers
The first number is about
2 x 10¹⁵
2 x 10³⁵
2 x 10‐¹⁵
2 X 10‐³⁵
times bigger than the second number.​

Answers

Answer:

2 x [tex]10^{35}[/tex]

Step-by-step explanation:

7 ÷ 3 is about 2

[tex]\frac{10^{25} }{10^{-10} }[/tex] = [tex]10^{35}[/tex]  When you are dividing powers with the same bases, you subtract the exponents

25 - -10 = 25 + 10 = 35

Which system of inequalities is shown?-5O A. y>xy<4OB. y> xy> 4C. y< xy<4OD. y< xy> 45

Answers

Given:

a graph of the inequalities is given.

Find:

we have to find the correct inequalities.

Explanation:

From the graph , it is observed that the value of y > x and y < 4,

Therefore, the correct inequalities are y > x,

y < 4.

Hence, correct option is A.

Use the following function rule to find f(48).
f(x) = 12 + x/4

Answers

Answer:

See image

depending on what is in the numerator of your question:

24 OR 15 SEE IMAGE!

Step-by-step explanation:

f(48) just means to use 48 in place of x in your work.

f(x) = 12 + x/4

f(48) = 12 + 48/4

Hopefully, your text/worksheet/screen is clear on which problem you are doing.



Answer this, please

Zachariah and Khai collect stamps. Zachariah has 7 American stamps out of 12 stamps. Khai has 15 American stamps out of 24 stamps. Which statement is correct?

Zachariah has a higher ratio of American stamps than Khai because 7 over 12 is greater than 15 over 24.
Khai has a higher ratio of American stamps than Zachariah because 7 over 12 is less than 15 over 24.
Zachariah has a higher ratio of American stamps than Khai because 7 over 12 is less than 15 over 24.
Zachariah and Khai have the same ratio of American stamps.

Answers

The last statement would be true, because you would convert 7/12 into a fraction and 15/24 into a fraction. From their fraction eyes to State you would turn them into decimals and then percentiles.

Answer:

D: They are both the same

Step-by-step explanation:

I took the test

Find ( f+g ) (x) for each of the following functions

Answers

Answer:

(f + g)(x) = 2x³ + 3x² + x + 2

Explanation:

If f(x) = 2x³ - 5x² + x - 3 and g(x) = 8x² + 5, we can calculate (f + g)(x) as follows

(f + g)(x) = f(x) + g(x)

(f + g)(x) = (2x³ - 5x² + x - 3) + (8x² + 5)

Then, we can simplify the expression adding the like terms, so

(f + g)(x) = 2x³ - 5x² + x - 3 + 8x² + 5

(f + g)(x) = 2x³ + (-5x² + 8x²) + x + (-3 + 5)

(f + g)(x) = 2x³ + 3x² + x + 2

Therefore, the answer is:

(f + g)(x) = 2x³ + 3x² + x + 2

What 3D shape will be formed when the following are rotated around the axis

Answers

a)

A washer will be formed

b)

A cone will be formed

C)

A sphere will be formed

26.219 Miles in 128 minutes. what is speed in km per minute?

Answers

26.219 Miles in 128 minutes.

First we have to convert miles to km:

Since 1 mile = 1,609 km

26.219 x 1,609 = 42,041.561 km

Then divide the distance by the time:

42,041.561/ 128 = 192.85 km per minute

What is the domain for the following function? 2x . - 3 O A. (x+3) O B. {**-3) O c. {*#0 O D. all real number ers

Answers

Given,

y = 2x/x - 3

to solve this,

let's equate the denominator to 0

so,

y = 2x/0

this means undefined

recall,

Domain is the set of all possible values of x. Since the function is undeined when the denominator is zero, the domain is the set of all real numbers except the value which will make the denominator zero

so the domain for the function y = 2x/x - 3

is x is not equal to 3

therefore, the correct option is

[tex]A.\mleft\lbrace x\ne3\mright\rbrace[/tex]

O GRAPHS AND FUNCTIONSDomain and range from the graph of a piecewise function

Answers

ANSWER:

[tex]Domain:(-5,-4]\cup[-1,2][/tex]

[tex]Range:[-3,0)\cup[1,4][/tex]

EXPLANATION:

Given:

To find:

The domain and the range

Recall that the domain of a function is the set of possible input values for which the function is defined.

To determine the domain of a function from a graph, we consider the possible x-values from left to right.

So the domain of the given function can be written as;

[tex]Domain:(-5,-4]\cup[-1,2][/tex]

The range of a function is the set of possible output values.

To determine the range of a function from a graph, we consider the possible y-values from the bottom to the top.

So the range of the given function can be written as;

[tex]Range:[-3,0)\cup[1,4][/tex]

10. Find the area of ABC. (A) 84 (B) 168 (C) 170 (D) 48 (E) 56A: 10B: 17C: 21Right angle: 8

Answers

we know that

the area of triangle ABC is equal to the area of two right triangles

so

triangle ABD and triangle BDC

D is a point between point A and point C

step 1

Find the length of segment AD

Applying Pythagorean Theorem in the right triangle ABD

10^2=AD^2+8^2

100=AD^2+64

AD^2=100-64

AD^2=36

AD=6

Find teh area of triangle ABD

A=AD*BD/2

A=6*8/2

A=24 units^2

step 2

Find the area of triangle BDC

A=DC*DB/2

DC=21-6=15 units

A=15*8/2

A=60 units^2

step 3

Find teh area of triangle ABC

Adds the areas

A=24+60=84 units^2

therefore

the answer is the option A 84 units^2

In 2011, the average daily temperature in Darrtown was 65°F. In 2012, the average daily temperature increased by 3% but then decreased by 4.5% in 2013.What was the daily average temperature in Darrtown in 2013?A.62°FB.64°FC.68°FD.74°F (thank you in advanced for who helps i was having trouble with this question)

Answers

Solution

In 2011 The temperature in Darrtown is

[tex]65^{\circ}F[/tex]

The temperature increased by 3% in 2012

The temperature will be

[tex](1+\frac{3}{100})\times65=(1.03)(65)=66.95^{\circ}F[/tex]

The temperature decreased by 4.5% in 2013

The temperature will be

[tex]\begin{gathered} (1-\frac{4.5}{100})\times66.95=0.955\times66.95=63.93725 \\ \\ (1-\frac{4.5}{100})\times66.95=64^{\circ}F\text{ (to the nearest whole number)} \end{gathered}[/tex]

Therefore, the temperature in 2013 is 64 degrees Fareheint

Option B

Point S is on line segment \overline{RT} RT . Given RT=3x,RT=3x, RS=3x-5,RS=3x−5, and ST=3x-1,ST=3x−1, determine the numerical length of \overline{RT}. RT .

Answers

The numerical length of the line segment RT is 6.

Length:

Length is the measuring unit used to identifying the size of an object or distance from one point to the other.

Given,

There is a point on the line segment RT.

And the values of the pots are,

RT = 3x, RS = 3x - 5 and ST = 3x - 1.

Now we need to find the length of the line segment RT.

To find the line of the line segment RT,

We have to add the length of the segments,

That can be written as,

=> RT = RS + ST

Now, we have to apply the values of the point to the equation, then we get,

=> 3x = 3x - 5 + 3x - 1

=> 3x = 6x - 6

=> 6x - 3x - 6

=> 3x - 6

=> 3x = 6

=> x = 2

If the value of x is 2, then the length of the line segment RT is,

RT = 3x => 3 x 2 = 6

Therefore, the length of the line segment RT is 6.

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A school debate team has 4 girls and 6 boys. A total of 4 of the team members will be chosen top participate in the district debate. What is the probaility that 2 girland 2 boys will be selected?

Answers

The probability that 2 girls and 2 boys are selected is given by:

[tex]P(\text{ 2 boys, 2 girls })=\frac{4C2\times6C2}{10C4}=\frac{6\times15}{210}=\frac{3}{7}[/tex]

Therefore, the correct choice is option D) 3/7.

solve for x and y (2x+7)(x+1)(y+5)(x-4)

Answers

Answer:

I am assuming you are looking for the x-intercepts and y-intercepts...here they are.

x-intercepts: (-7/2,0) , (-1,0) , (4,0)

y-intercepts: (0,-5)

Hope this helps...if not, please expound your question more.

Solve the equation-3 + a = 13a = ???

Answers

ANSWER

a = 16

EXPLANATION

To solve for a we have to add 3 on both sides of the equation:

[tex]\begin{gathered} -3+3+a=13+3 \\ a=16 \end{gathered}[/tex]

Give the slope and y - intercept for each of the following equations, then sketch the graph. Give the slope ofany line perpendicular to the given line.y =22 +5Slope =y - intercept = (0,_ ) Slope of a Line Perpendicular =

Answers

Answer:

The slope is 2.

The y-intercept is 5 or (0, 5)

See graph below

Explanation:

Given:

y = 2x + 5

To find:

the slope, y-intercept, and plot a graph

To determine the slope and y-intercept, we will use the equation of line formula:

y = mx + b

m = slope

b = y-intercept

Comparing both equations:

y = y

2x = mx

m = 2

The slope = 2

5 = b

The y-intercept = 5

To plot the graph, we will assign values to x in order to get values to y that will be plotted:

let x = -4, 0, 4

when x = -4

y = 2(-4) + 5 = -3

when x = 0

y = 2(0) + 5 = 5

when x = 4

y = 2(4) + 5 = 13

Plotting the points:

Each line on the graph represents 1 unit

URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!

Answers

Answer:

translated 8 units down and then reflected across the y-axis

are these places correctly.and yes it is math. pls answer fast

Answers

we have that

Costs that stay the same from week to week or month to month

-savings for college

-Rent

Costs that cannot be adjusted within a budget

-Car insurance

-Health care

Costs that can be adjusted within a budget

-cell phone

-gasoline

-hair cut

-Groceries

Solve for the Limit of Function by applying appropriate Limit Theorems

Answers

Answer:

Given to solve,

[tex]\lim _{x\to-1}(2x+2)(x+2)[/tex]

From the rules for limits, we can see that for any polynomial, the limit of the polynomial when x approaches a point k is equal to the value of the polynomial at k.

The given function of the limit is a quadratic function, the limit of the quadratic equation when x approaches a point -1 is equal to the value of the quadratic equation at -1.

we get,

[tex]\lim _{x\to-1}(2x+2)(x+2)=(2(-1)+2)((-1)+2)[/tex][tex]=(-2+2)(1)=0[/tex]

[tex]\lim _{x\to-1}(2x+2)(x+2)=0[/tex]

Answer is : 0

In the rhombus m<1 = 160 what are m<2 and m<3. This diagram is not drawn to scale. Show all work

Answers

We are given a rhombus shape.

The measure of angle ∠1 = 160°

Recall that in a rhombus, the oppsite angles are equal, this means ∠1 = ∠2

So, ∠2 = 160°

Recall that the sum of all four interior angles in a rhombus must be equal to 360°

The diagonal line divides the angles in half.

This means that angle 3 and angle x are equal.

[tex]\begin{gathered} 160\degree+160\degree+2(\angle3+x)=360\degree_{} \\ 320\degree+2(\angle3+x)=360\degree \\ 2(\angle3+x)=360\degree-320\degree \\ 2(\angle3+x)=40\degree \\ \angle3+x=\frac{40\degree}{2} \\ \angle3+x=20\degree \end{gathered}[/tex]

Since we know that ∠3 and ∠x are equal then

∠3 = 10° and ∠x = 10°

Therefore,

∠2 = 160°

∠3 = 10°

quick!! will give brainliest!! Given g(x) = -x + 3, solve for a when g(2) = -1

Answers

We have the following:

[tex]g(x)=-x+3[/tex]

replacing when x is 2:

[tex]g(2)=-2+3=1[/tex]

5. There are 9.75 ounces of Cinnamon Toast Crunch in a bowl. Additional cereal ispoured into the bowl at a rate of 1.5 ounces per second. How many ounces are inthe bowl after 3 seconds?

Answers

Question:

There are 9.75 ounces of Cinnamon Toast Crunch in a bowl. Additional cereal is poured into the bowl at a rate of 1.5 ounces per second. How many ounces are in the bowl after 3 seconds?

Solution:

If additional cereal is poured into the bowl at a rate of 1.5 ounces per second, then in 3 seconds the additional cereal into the bowl is 1.5x 3 = 4.5 ounces. Thus after 3 seconds, the bowl has the original amount that it already had and the new aggregate:

9.75 ounces + 4.5 ounces = 14.25

then, the correct answer is:

14.25

Triangle RST has the coordinates R(0 , 2), S(2 , 9), and T(4 , 2). Which of the following sets of points represents a dilation from the origin of triangle RST? A. R'(0 , 2), S'(8 , 9), T'(16 , 2) B. R'(0 , 2), S'(2 , 36), T'(16 , 2) C. R'(4 , 6), S'(6 , 13), T'(8 , 6) D. R'(0 , 8), S'(8 , 36), T'(16, 8)

Answers

The set of points that represents a dilation from the origin of triangle RST are: D. R'(0 , 8), S'(8 , 36), T'(16, 8).

What is dilation?

In Mathematics, dilation is a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

For the given coordinates of triangle RST, the dilation with a scale factor of 4 from the origin (0, 0) or center of dilation should be calculated as follows:

Point R (0, 2) → Point R' (0 × 4, 2 × 4) = Point R' (0, 8).

Point S (2, 9) → Point S' (2 × 4, 9 × 4) = Point S' (8, 36).

Point T (4, 2) → Point T' (4 × 4, 2 × 4) = Point T' (16, 8).

In conclusion, the other sets of points do not represents a dilation from the origin of triangle RST.

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As of the given condition ordered pair in the option D  R'(0 , 8), S'(8 , 36), T'(16, 8), represents the dilated coordinates of the former triangle.

Given that,
Coordinates of the triangle, R(0 , 2), S(2 , 9), and T(4 , 2).
The scale factor for the dilation = 4

What is the scale factor?

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
According to the question,
The dilated coordinate is given as,
R' = (0×4 , 2×4) = (0, 8)
S' = (2×4, 9×4) = (8, 36)
T' = (4×4, 2×2) = (16, 8)

Thus, As of the given condition ordered pair in the option D  R'(0 , 8), S'(8 , 36), T'(16, 8), represents the dilated coordinates of the former triangle.

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What are the slope and the y-intercept of the linear function that is represented by the table? -- Nicol у 3 2 1 0 -2 / 0 Nlw 3 1 2 -1 The slope is -3, and the y-intercept is 3 The slope is -3, and the y-intercept is z. 1 The slope is 3, and the v-intercept is -

Answers

We will assume the next table to answer this question (a linear function) (since the data in the question is not clear):

Having this information, we can find the slope using the formula for it:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

If we pick up from the table the next points:

x1 = 1, y1 =6

x2 = 2, y2 = 8

Then

[tex]m=\frac{8-6}{2-1}=\frac{2}{1}\Rightarrow m=2[/tex]

We can use the slope-point formula to find the y-intercept. We can use the point (3, 10). Then, we have:

[tex]y-y_1=m\cdot(x-x_1)\Rightarrow y-10=2\cdot(x-3)\Rightarrow y-10=2x-6[/tex][tex]y=2x-6+10\Rightarrow y=2x+4[/tex]

We end up with the slope-intercept formula for the line. Then the y-intercept is 4. In other words, if we have x = 0, then y = 4.

Then the slope for the values represented in the proposed table is m = 2, and the y-intercept is y = 4.

What is the missing coefficient of the x-term of the product (−x−5)^2 after it has been simplified?−25−101025

Answers

Given:

The terms is

[tex](-x-5)^2[/tex]

Required:

What is the missing coefficient of the x-term of the product after it has been simplified?

Explanation:

We have to find the missing coefficient of the x term of the given product

We know

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

So,

[tex](-x-5)^2=x^2+10x+25[/tex]

Therefore, the missing coefficient of the x-term is 10.

Answer:

Therefore, the missing coefficient of the x-term is 10.

how do you find the exponential equation for growth? or what is the exponential equation for growth?

Answers

Answer:

The equation f(x) = a(1 + r)x can also be used to compute exponential growth, where:

The function is represented by the word f(x).

The initial value of your data is represented by the a variable.

The growth rate is represented by the r variable.

Time is represented by the variable x.

Imagine you are four years old. A rich aunt wants to provide for your future. She hasoffered to do one of two things.Option 1: She would give you $1000.50 a year until you are twenty-one.Option 2: She would give you $1 this year, $2 next year, and so on, doubling the amounteach year until you were 21.If you only received money for ten years, which option would give you the most money?

Answers

Given the situation to model the arithmetic and the geometric sequences.

Imagine you are four years old. A rich aunt wants to provide for your future. She has offered to do one of two things.

Option 1: She would give you $1000.50 a year until you are twenty-one.

This option represents the arithmetic sequence

The first term = a = 1000.50

The common difference = d = 1000.50

The general formula will be as follows:

[tex]\begin{gathered} a_n=a+d(n-1) \\ a_n=1000.50+1000.50(n-1) \\ \end{gathered}[/tex]

Simplify the expression:

[tex]a_n=1000.50n[/tex]

Option 2: She would give you $1 this year, $2 next year, and so on, doubling the amount each year until you were 21.

This option represents the geometric sequence

The first term = a = 1

The common ratio = r = 2/1 = 2

The general formula will be as follows:

[tex]\begin{gathered} a_n=a\cdot r^{n-1} \\ a_n=1\cdot2^{n-1} \end{gathered}[/tex]

Now, we will compare the options:

The first term of both options is when you are four years old that n = 1

you only received money for ten years so, n = 10

So, substitute with n = 10 into both formulas:

[tex]\begin{gathered} Option1\rightarrow a_{10}=1000.50(10)=10005 \\ Option2\rightarrow a_{10}=1\cdot2^{10-1}=2^9=512 \end{gathered}[/tex]

So, the answer will be:

For ten years, the option that gives the most money = Option 1

there are twelve inches in one foot,creating the equation y=12x. if a door frame is 6.5 feet tall,how many inches tall is it

Answers

Let's begin by listing out the information given to us:

[tex]\begin{gathered} 12in=1ft \\ y=12x \end{gathered}[/tex]

The height of the door frame is 6.5 feet. To convert to inches, we have:

[tex]\begin{gathered} y=12(6.5)=78inches \\ y=78inches \end{gathered}[/tex]

I need help finding the exact perimeter. Special right triangles.

Answers

Answer:

The exact perimeter of the square is;

[tex]56\sqrt[]{2}[/tex]

Explanation:

Given the square in the attached image.

The length of the diagonal is;

[tex]d=28[/tex]

Let l represent the length of the sides;

[tex]\begin{gathered} l^2+l^2=28^2 \\ 2l^2=784 \\ l^2=\frac{784}{2} \\ l^2=392 \\ l=\sqrt[]{392} \\ l=14\sqrt[]{2} \end{gathered}[/tex]

The perimeter of a square can be calculated as;

[tex]\begin{gathered} P=4l \\ P=4(14\sqrt[]{2}) \\ P=56\sqrt[]{2} \end{gathered}[/tex]

Therefore, the exact perimeter of the square is;

[tex]56\sqrt[]{2}[/tex]

Suppose a charity received a donation of $19.4 million. If this represents 43% of the charity's donated funds, what is the total amount of its donated funds? Round your answer to the nearest million dollars.

Answers

Given :

a charity received a donation of $19.4 million

Which represents 43% of the charity funds

Let the total funds = x

So,

43% of x = 19.4 million

So,

[tex]\begin{gathered} 43\%\cdot x=19.4 \\ \\ 0.43\cdot x=19.4 \\ \\ x=\frac{19.4}{0.43}\approx45.12 \end{gathered}[/tex]

Rounding to the nearest million ,

The answer is : total donated funds = 45 million

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A website recorded the number y of referrals it received from social media websites over a 10-year period. The results can be modeled by y = 2500(1.50), where t is the year and 0 t 9.Interpret the values of a and b in this situation.O a represents the number of referrals after 9 years; b represents the growth factor of the number of referrals each year.a represents the number of referrals it received at the start of the model; b represents the decay factor of the number of referralseach year.O a represents the number of referrals after 9 years; b represents the decay factor of the number of referrals each year.a represents the number of referrals it received at the start of the model; b represents the growth factor of the number ofreferrals each year.What is the annual percent increase?The annual percent increase is%. solver for r: C=2(pie)r A gift box is 12 inches long 8 inches wide and 2 inches high how much wrapping paper is needed to wrap the gift box suppose that you have two square garden plots: One is 10 x 10 and the other is 15 x 15. You want to cover both gardens with a 1 inch layer of mulch. If the 10 x 10 garden took 3 1/2 bags of mulch, could you calculate how many bags of mulch you need for the 15 x 15 garden by setting up the following proportion 3.5/10 = X/15. explain clearly why or why not. If the answer is no is there another proportion that you could set up? it may help you to make drawings of the Gardens The line perpendicular to y=1/2x-2 that passes through the point (0,3) Which points are included in the solution Set of the systems of equations graphed below? $(20) = 4x^2+ 5x 3 g(x) = 4x^3 3x^2 + 5 Find (f + g)(x) what keyboard instrument is largely identified with the music from the baroque era? it provided strong harmonic structure in all genres and when paired with a sustaining instrument (i.s. cello), created 'basso continuo'? in receptor-mediated endocytosis, the ligand-binding domain of the receptor molecules initially project to the outside of the cell. where do the ligand-binding domains end up after endocytosis? the mean annual income for adult women in one city is $28,520 and the standard deviation of the incomes is $5000. the distribution of incomes is skewed to the right. suppose that we select samples of size 43. determine whether the sampling distribution for is normal (or approximately normal) and give its mean and standard deviation. "Let me see if I can ___ matters," I said, "by cutting through all the red tape that is tying up this project."a. expediteb. abominatec. peculated. ferment How many times larger is (1.76 x 10^1) than (8 x 10^-1) the diagonal of a rectangular swimming pool measures 19 yd if the length of the pool is 15 yd which measurement is closest to the width of the pool? 2x^3+ 15^2+ 27x + 5= x^2+ 5x + 12x + 5 a northeast airlines gate agent, betnijah gray, gives out seat assignments to ticketed passengers. she takes an average of 50 seconds per passenger and is rated 110% in performance. how long should a typical agent be expected to take to make seat assignments? [px] Determine the speed of the Earth in its motion around the Sun using Newton's Law of Universal Gravitation and centripetal force. Look up the values of the Earth's mass, the Sun's mass, and the average distance of Earth from the Sun; other than G, nothing else is needed Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this section to solve the following exercise.The number of ducks and pigs in a field totals 37. The total number of legs among them is 98. Assuming each duck has exactly two legs and each plg has exactly fourlegs, determine how many ducks and how many pigs are in the field.ducks?pigs? m(25+2)(x-7)(4%-8)"y = What is the answer for the equation:7x+31 = 8x -1/3(27x+3) ? WILL GIVE BRAINLIEST find center, vertices, and foci of the ellipse.