use the figure below to answer the question that follows: what must be given to prove that BJI ~ CJG​

Use The Figure Below To Answer The Question That Follows: What Must Be Given To Prove That BJI ~ CJG

Answers

Answer 1

Answer:

  ∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG

Step-by-step explanation:

To prove similarity, you must show two corresponding angles are congruent. Thus, you can ignore any answer choices involving congruence of segments. The angles in the 2nd answer choice are not corresponding, so that, too, can be eliminated.

The appropriate choice is the last one:

  ∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG


Related Questions

Please PLease PLEASE HELP ME!!!!!!!!!!!!!! Consider what would happen if you were to slice a face at a vertex (cut a corner) of a particular polyhedron. You would see a new polygonal face where the old vertex used to be. What type of polygon would a slice of a hexahedron at a vertex create? Explain how you know. What type of polygon would a slice of an icosahedron at a vertex create? Explain how you know.

Answers

Answer:

A triangle

Step-by-step explanation:

The plane which cuts a corner intersects the polyhedron in n faces that depend on the specific polyhedron as seen in the attachment

And here's a cube, and three faces intersect. Because the intersection of two planes is a line, and that there are three planes with which to intersect, the polygon has three sides.

Therefore in the given situation, the polygon is a triangle

I NEED HELP PLEASE THANKS!
Jenny is sitting on a sled on the side of a hill inclined at 15°. What force is required to keep the sled from sliding down the hill if the combined weight of Jenny and the sled is 90 pounds? (Show work)

Answers

Answer:

  23.29 lbs

Step-by-step explanation:

The force on Jenny due to gravity can be resolved into components perpendicular to the hillside and down the slope. The down-slope force is ...

  (90 lbs)sin(15°) ≈ 23.29 lbs

In order to keep Jenny in position, that force must be balanced by an up-slope force of the same magnitude.

There is a set of 100 obserations with a mean of 46 and a standard deviation of 0. What is the value of smallest obserstion in a set?

Answers

Answer:

Solution = 46

Step-by-step explanation:

I believe you meant standard deviation. Standard deviation is defined as the variation of the data set, or the differences between the values in this set. In order for the standard deviation to be 0, all values should be the same.

Now if the mean is 46, the smallest possible number of each value in the data set should be 46 as well.  This is considering the mean is the average of the values, and hence any number of values in the data set being 46 will always have a mean of 46. Let me give you a demonstration -

[tex]Ex. [ 46, 46, 46 ], and, [46, 46, 46, 46, 46]\\Average = 46 + 46 + 46 / 3 = 46,\\Average = 46 + 46 + 46 + 46 + 46 / 5 = 46[/tex]

As you can see, the average is 46 in each case. This proves that a data set consisting of n number of values in it, each value being 46, or any constant value for that matter, always has a mean similar to the value inside the set, in this case 46. And, that the value of the smallest standard deviation is 46.

pls help help me pls ​

Answers

Answer:

b

Step-by-step explanation:15 x 5 = 75 and 20 x 4 = 80 making 155 and 15 x 3  = 45 and 20 x 2 = 40 making 85

Four different digits from 1 to 9 are required to open a safe.
1. The sum of the digits is 20.
2. The first digit is greater than the third.
3. The second and fourth digits differ by at least 5.
4. Exactly two digits are squares.
5. The first and fourth digits add up to a prime number.
6. The fourth digit is the lowest.
Can you find the four-digit combination?

Answers

Answer:  5942

Step-by-step explanation:

Clue 4 states exactly two of the digits = 1, 4, or 9

Clue 1 leaves us with the following combinations:

1, 9, 2, 8

1, 9, 3, 7    eliminate by clue 5

4, 9, 2, 5

1, 4, 7, 8

Clue 5 directs us to the following order for 1,9,2,8

2 __ __ 1     --> 2981 or 2891   eliminate by clue 2

9 __ __ 8    --> 9128 or 9218   eliminate by clue 6

9 __ __ 2    --> 9182 or 9812   eliminate by clue 6

Clue 5 directs us to the following order for 4,9,2,5

5 __ __ 2     --> 5492 or 5942   eliminate 5492 by clue 2

9 __ __ 2    --> 9452 or 9542   eliminate by clue 3

Clue 5 directs us to the following order for 1,4,7,8

4 __ __ 1    --> 4781 or 4871    eliminate by clue 2

The only combination not eliminated is 5-9-4-2, which satisfies all six clues.

1) 5 + 9 + 4 + 2 = 20

2) 5 > 4

3) 9 - 2 > 5

4) 4 & 9 but not 1 are included

5) 5 + 2 = 7, which is a prime number

6) 2 <  5, 9, 4

The school band is going to a competition. Five members play the flute. There are three times as many members who play the trumpet. There are eight fewer trombone players than trumpeters, and eleven more drummers than trombone players. There are twice as many members that play the clarinet as members that play the flute. There are four fewer tuba players than there are trombone player, but three more members play the French horn than play the trombone. The band director, his assistant and six parent volunteers are also going. How many seats are needed on the bus?

Answers

Answer:

76

Step-by-step explanation:

Flute players- 5

Trumpet player- 3 times flute players -15

Trombone players- 8 fewer than trumpet-7

Drummers- 11 more than trombone-18

Clarinet- 2 times flute- 10

Tuba-4 fewer than trombone-3

French horn- 3 more than trombone- 10

Band director- 1

Assistant-1

Volunteers- 6

5+15+7+18+10+3+10+1+1+6=76

Sequence of numbers 1.5,2.25,3.0,3.75 in a recursive formula?

Answers

Answer:

f(n + 1) = f(n) + 0.75

Step-by-step explanation:

Plz I need help with this question

Answers

Answer:

adjacentobtuse

Step-by-step explanation:

The angles marked 1 and 2 share the vertical line as a common side, so they are "adjacent" angles. Each is the sum of an acute angle and a right angle, so is "obtuse."

None of the other descriptors apply.

Complete a frequency distribution for the following data that represents the recent sales prices (in $1,000s) of homes in Midwestern County. As this is quantitative data, calculate five classes, report the cumulative frequency, relative frequency, and cumulative relative frequency.


Sales price:

115 290 271 267 290
271 242 223 221 269
245 336 236 265 270
249 216 335 237 295


Frequency Cumulative Frequency Relative Frequency Cumulative Relative Frequency
100 upto 150

Answers

Answer:

Given the quantitative data, the five classes would be:

Number of data given, n = 20

________________________

100 to 150:

Frequency = 1

Cumulative frequency = 1

Relative frequency [tex] = \frac{1}{20} = 0.05 [/tex]

Cumulative relative frequency [tex] = \frac{1}{20} = 0.05 [/tex]

__________________________

150 to 200:

Frequency = 0

Cumulative frequency = 0 + previous cumulative frequency = 0 + 1 = 1

Relative frequency = 0

Cumulative relative frequency [tex] = \frac{1}{20} = 0.05 [/tex]

__________________________

200 to 250:

Frequency = 8

Cumulative frequency = 9 + previous cumulative frequency = 8 + 1 = 9

Relative frequency [tex] = \frac{8}{20} = 0.4 [/tex]

Cumulative relative frequency [tex] = \frac{9}{20} = 0.45 [/tex]

__________________________

250 to 300:

Frequency = 9

Cumulative frequency = 9 + previous cumulative frequency = 9 + 9 = 18

Relative frequency [tex] = \frac{9}{20} = 0.45 [/tex]

Cumulative relative frequency [tex] = \frac{18}{20} = 0.9 [/tex]

__________________________

300 to 350:

Frequency = 2

Cumulative frequency = 2 + previous Cumulative frequency = 2 + 18 = 20

Relative frequency [tex] = \frac{2}{20} = 0.1 [/tex]

Cumulative relative frequency [tex] = \frac{20}{20} = 1 [/tex]

__________________________

Members of the school committee for a large city claim that the population mean class size of a middle school class within the district is exactly 20 students. Karla, the superintendent of schools for the city, thinks the population mean is less. She selects a random sample of 35 middle school classes across the city. The sample mean is 18.5 students with a sample standard deviation of 3.7 students. The test statistic t for a hypothesis test of H0:μ=20 versus Ha:μ<20 is t≈−2.40. If 0.01

Answers

Answer:

At a level of dignificance of 0.01, there is not enough evidence to support the claim that the population mean class size of a middle school class within the district is less than 20.

P-value = 0.011

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the population mean class size of a middle school class within the district is less than 20.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=20\\\\H_a:\mu< 20[/tex]

The significance level is 0.01.

The sample has a size n=35.

The sample mean is M=18.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=3.7.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{3.7}{\sqrt{35}}=0.625[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{18.5-20}{0.625}=\dfrac{-1.5}{0.625}=-2.398[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=35-1=34[/tex]

This test is a left-tailed test, with 34 degrees of freedom and t=-2.398, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t<-2.398)=0.011[/tex]

As the P-value (0.011) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the population mean class size of a middle school class within the district is less than 20.

Newton's second law says force (f) is equal to mass (m) times acceration (a). A scientist wants to calculate the force of an object where the acceleration of gravity (g) is 9.8 m/s2. Use the function to calculate the force for an object with a mass (m) of 0.29 kilograms. 9.51 Newtons 2.8 Newtons 34 Newtons 0.029 Newtons

Answers

Answer:

Force = mass×acceleration

F=ma

m=0.29kg

a=9.8m/s²

F=0.29kg×9.8m/s²

F= 2.84N=2.8N

Answer:Answer:

Force = mass×acceleration

F=ma

m=0.29kg

a=9.8m/s²

F=0.29kg×9.8m/s²

F= 2.84N=2.8N

Step-by-step explanation:

A homeowner puts a passcode-enabled lock on her front door. To choose a passcode, she must choose a number, a letter from a list of 5 letters, and then another number.
Number Letter Number
0 A 0
1 E 1
2 I 2
3 O 3
4 U 4
5 5
6 6
7 7
8 8
9 9
How many possible passcodes can she make?

Answers

Answer:

500

Step-by-step explanation:

I assume each number is from 0 to 9. Also there are 5 letters.

10 * 5 * 10 = 500

You want to study how the number of popped kernels in a microwave popcorn bag is affected by brand, microwave power, and time in microwave. You manipulate three different factors: brand, power, and time. There are three brands, two power settings, and three different microwave times. a. How many unique treatment combinations are there

Answers

Answer:

Number of unique treatment combinations  = 8

Step-by-step explanation:

Given:

Number of brands = 3

Number of power settings = 2

Number of microwave times = 3

Find:

Number of unique treatment combinations.

Computation:

Number of unique treatment combinations = Number of brands + Number of power settings + Number of microwave times

Number of unique treatment combinations = 3 + 2 + 3

Number of unique treatment combinations = 8

Solve each equation (images provided).

Answers

Answer:

+-2

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

When you solve the equation you should get two parallel lines with x-intercepts at (-2,0) & (2,0)

Dylan wants to determine a 90 percent confidence interval for the true proportion of high school students in the area who attend their home basketball games. How large of a sample must he have to get a margin of error less than 0.03

Answers

Answer:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.64})^2}=747.11[/tex]  

And rounded up we have that n=748

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by [tex]\alpha=1-0.90=0.1[/tex] and [tex]\alpha/2 =0.05[/tex]. And the critical value would be given by:

[tex]z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64[/tex]

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]    (a)  

And on this case we have that [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex]   (b)  

The best estimatr for the proportionis 0.5 since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.64})^2}=747.11[/tex]  

And rounded up we have that n=748

pls help me hepl me ​

Answers

Answer:

b at most 199

Step-by-step explanation:so the total was 121 and there is a flat fee of 21.50 so you subtract that out and gat 99.5 since its .5 per mile its going to be divided giving 199 and that is the most she could have driven.

how do i round 17.875 to the nearest tenth

Answers

Answer:

17.9

Step-by-step explanation:

The tenth place is the digit 8. After the tenth place is 7, which is higher or equal to 5. Therefore, we must add +1 to the tenth place followed by zeros.

Not sure how I would solve this

Answers

Answer:

7/6

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

Using the given points

m = (-2 - -9)/(2 -8)

   = (-2+9) / (-6)

    = 7/6

Describe how you can determine the quadrant in which the terminal side or angle a lies if sin a =-1/4

Answers

Step-by-step explanation:

Well it's easy, you can write sin a=y/r

in which y is the y coordinate and r the hipotenuse.

so if sin a is negative that must mean that "a" is where y is negative and that happens in the third and fourth quadrant

Choose the equation of the horizontal line that passes through the point (−5, 9). y = −5 y = 9 x = −5 x = 9

Answers

Answer:

y = 9

Step-by-step explanation:

Since we are trying to find a horizontal line, our line would have to be y = [a number]. That takes our x = -5 and x = 9 out as answer choices. We are left with y = -5 and y = 9. y = 9 is correct because the horizontal line is the y-values, and since in (-5, 9), our y-value is 9, our line is y = 9.

Gelb Company currently manufactures 54,000 units per year of a key component for its manufacturing process. Variable costs are $5.15 per unit, fixed costs related to making this component are $73,000 per year, and allocated fixed costs are $80,500 per year. The allocated fixed costs are unavoidable whether the company makes or buys this component. The company is considering buying this component from a supplier for $3.90 per unit.
Calculate the total incremental cost of making 54,000 units.

Answers

Answer:

$351,100

Step-by-step explanation:

The total incremental cost of making 54,000 units = Variable Cost Per Unit (54,000 unit) + Fixed Manufacturing Costs

Fixed Manufacturing Costs = $73,000

Variable costs are $5.15 per unit

Variable Cost Per Unit =  $5.15 * 54,000 unit = $278,100

Hence, the total incremental cost of making 54,000 units  = $278,100 + $73,000 = $351,100

When 21 volts are applied the arlent is a amperes. What is the current when 47 volts are applied round to decimal

Answers

Answer:

Since it is directly related, then the current is one third of the voltage.

57 / 3 = 19 amperes

Step-by-step explanation:

Thomas and Randy had some blue and yellow handkerchiefs. 1/4 of Thomas' handkerchief and 3/7 of Randy's handkerchiefs are blue. Thomas and Randy have the same amount of yellow handkerchiefs. If the difference between the number of handkerchiefs they have is 10, how many handkerchiefs do they have in total?

Answers

Answer:

74 handkerchief

Step-by-step explanation:

Let the number of Thomas' and Randy's handkerchief be T and R respectively.

Thomas

blue ----- ¼T

yellow ----- 1T -¼T= ¾T

Randy

blue ----- [tex] \frac{3}{7} [/tex]R

yellow ----- [tex] \frac{4}{7} [/tex]R

Since they have the same number of yellow handkerchiefs,

¾T= 4/7 R

Multiply by 28 on both sides,

(since 28 is the lowest common multiple of 4 and 7)

21T= 16R -----(1)

From this we can see that R is greater than T.

Hence, given that the difference between R and T is 10,

R= T +10 -----(2)

Subst. (2) into (1):

21T= 16 (T +10)

21T= 16T +160 (expand)

21T -16T= 160

5T= 160 (simplify)

T= 160 ÷5 (÷5 on both sides)

T= 32

Subst. into (2):

R= 32 +10

R= 42

Thus, total number of handkerchief

= 32 +42

= 74

Can anyone explain how you got the answer please.

Answers

Answer:

Option A

Step-by-step explanation:

The first thing we want to do here is identify whether or not the diagonals are perpendicular, which helps much to know to prove what angle AOB.

_____

Let us say that this is a rhombus. That would make the diagonals perpendicular, and hence ∠AOB should be 90 degrees, but let's not jump to conclusions. We need to calculate the length of BO. By Pythagorean Theorem it should be the following length -

[tex]( BC )^2 = ( BO )^2 + ( OC )^2,\\( 10 )^2 = ( BO )^2 + ( 7.8 )^2,\\100 = BO^2 + 60.84,\\BO^2 = 39.16,\\\\BO = ( About ) 6.26\\[/tex]

_____

Knowing BO, to prove that this is a rhombus we can find the length of BO another way, and match it to the length 6.26 -

Δ ABD = Equilateral,

BD = 10 cm,

" Coincidence Theorem " - BO = 5 = OD.

Here BO = 5. 5 is close to 6.26 but not exactly, so the measure of angle AOB is not 90, but better yet 80.

A=2 b=2 c=1 Find the value of 2abcosC

Answers

Answer:

[tex]2abCosC = 1[/tex]

Step-by-step explanation:

The cosine rule is

=> [tex]a^2= b^2+c^2-2abCosC[/tex]

For 2abCosC, it becomes

=> [tex]2abCosC = b^2+c^2-a^2[/tex]

=> [tex]2abCosC = (2)^2+(1)^2-(2)^2[/tex]

=> [tex]2abCosC = 1[/tex]

Find the value of x to the nearest tenth

Answers

Answer:

X = 5.3

Step-by-step explanation:

To do: Find the value of X

Concept : Angle bisector formula

Now,

[tex] \frac{a}{b} = \frac{c}{d} [/tex]

[tex] \frac{6}{9} = \frac{x}{8} [/tex]

[tex]x \times 9 = 6 \times 8[/tex]

( cross multiplication)

[tex]9x = 48[/tex]

Divide both sides by 9

[tex] \frac{9x}{9} = \frac{48}{9} [/tex]

Calculate

[tex]x = 5.3[/tex]

Hope this helps..

Good luck on your assignment...

The left and right page numbers of an open book are two consecutive integers whose sum is 389.  Find these page numbers

Answers

Step-by-step explanation:

Maybe the page numbers can be 143 and 246

143 + 246 = 389

Answer:

194 and 195

Step-by-step explanation:

x = 1st page

x + 1 = 2nd page

x + x + 1 = 389

2x + 1 = 389

2x = 388

x = 194

x + 1 = 195

if p(A)=0.30,p(B)=0.40and p(AB) =0.20,then p(A/B) is

Answers

Answer:

p(A|B) = 2/3

Step-by-step explanation:

Given p(A)=0.30,p(B)=0.40and p(A∩B) =0.20,then p(A/B) is expressed as shown:

p(A|B) = p(A∩B)/p(A)

p(A|B) means B is independent and A depends on B.

In your problem P(A)=0.65, P(A∩B) =0.1

Substituting the given values,

p(A|B) = 0.2/0.30

p(A|B) = 2/10 * 10/3

p(A|B) = 2/3

onsider the equation below. (If an answer does not exist, enter DNE.) f(x) = 8 cos2(x) − 16 sin(x), 0 ≤ x ≤ 2π (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) (No Response) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (No Response) (b) Find the local minimum and maximum values of f. local minimum value (No Response) local maximum value (No Response) (c) Find the inflection points. (x, y) = (No Response) (smaller x-value) (x, y) = (No Response) (larger x-value)

Answers

Answer:

(a) Increasing:[tex]\frac{\pi}{2}< x< \frac{3\pi}{2}[/tex] and Decreasing:[tex]0< x< \frac{\pi}{2}\ \text{or}\ \frac{3\pi}{2}< x< 2\pi[/tex]

(b) The local minimum and maximum values are -16 and 16 respectively.

(c) The inflection points are [tex](\frac{\pi}{6},\ -2)\ \text{and}\ (\frac{5\pi}{6},\ -2)[/tex]

Step-by-step explanation:

The function provided is:

[tex]f(x)=8cos^{2}(x)-16sin( x);\ 0\leq x\leq 2\pi[/tex]

(a)

[tex]f(x)=8cos^{2}(x)-16sin( x);\ 0\leq x\leq 2\pi[/tex]

Then, [tex]f'(x)=-16cos(x)sin(x)-16cos(x)=-16cos(x)[1+sin(x)][/tex]

Note, [tex]1+sin(x)\geq 0\ \text{and }\ sin(x)\geq 1\\[/tex]

Then, [tex]sin(x)=-1\Rightarrow x=\frac{3\pi}{2}[/tex] for [tex]0\leq x\leq 2\pi[/tex].

Also [tex]cos(x)=0[/tex].

Thus, f (x) is increasing for,

[tex]f'(x)>0\\\Rightarrow cos(x)<0\\\Rightarrow \frac{\pi}{2}< x< \frac{3\pi}{2}[/tex]

And f (x) is decreasing for,

[tex]f'(x)<0\\\Rightarrow cos(x)>0\\\Rightarrow 0< x< \frac{\pi}{2}\ \text{or}\ \frac{3\pi}{2}< x< 2\pi[/tex]

(b)

From part (a) f (x) changes from decreasing to increasing at [tex]x=\frac{\pi}{2}[/tex] and from increasing  to decreasing at [tex]x=\frac{3\pi}{2}[/tex].

The local minimum value is:

[tex]f(\frac{\pi}{2})=8cos^{2}(\frac{\pi}{2})-16sin(\frac{\pi}{2})=-16[/tex]

The local maximum value is:

[tex]f(\frac{3\pi}{2})=8cos^{2}(\frac{3\pi}{2})-16sin(\frac{3\pi}{2})=16[/tex]

(c)

Compute the value of f'' (x) as follows:

[tex]f''(x)=16sin(x)[1+sin(x)]-16cos^{2}(x)\\\\=16sin(x)+16sin^{2}(x)-16[1-sin^{2}(x)]\\\\=32sin^{2}(x)+16sin(x)-16\\\\=16[2sin(x)-1][sin (x)+1][/tex]

So,

[tex]f''(x)>0\\\Rightarrow sin(x)>\frac{1}{2}\\\Rightarrow \frac{\pi}{6}<x<\frac{5\pi}{6}[/tex]

And,

[tex]f''(x)<0\\\\\Rightarrow sin(x)<\frac{1}{2}\ \text{and}\ sin (x)\neq -1\\\\\Rightarrow 0<x<\frac{\pi}{6}\ \text{or} \frac{5\pi}{6}<x<\frac{3\pi}{2}\ \text{or}\ \frac{3\pi}{2}<x<2\pi[/tex]

Thus, f (x) is concave upward on [tex](\frac{\pi}{6},\ \frac{5\pi}{6})[/tex] and concave downward on [tex](0,\ \frac{\pi}{6}), (\frac{5\pi}{6},\ \frac{3\pi}{2})\ \text{and}\ (\frac{3\pi}{2},\ 2\pi)[/tex].

If [tex]x=\frac{\pi}{6}[/tex], then f (x) will be:

[tex]f(\frac{\pi}{6})=8cos^{2}(\frac{\pi}{6})-16sin(\frac{\pi}{6})=-2[/tex]

If [tex]x=\frac{5\pi}{6}[/tex], then f (x) will be:

[tex]f(\frac{5\pi}{6})=8cos^{2}(\frac{5\pi}{6})-16sin(\frac{5\pi}{6})=-2[/tex]

The inflection points are [tex](\frac{\pi}{6},\ -2)\ \text{and}\ (\frac{5\pi}{6},\ -2)[/tex].

11. What are the vertices of the ellipse whose equation is (x2)/9 + (y2)/4 = 1? please show the work

Answers

Answer: I think that this is the answer

standard form of equation for ellipse with vertical major axis (a^2 under y^2):

(x-h)^2/b^2+(y-k)^2/a^2=1,a>b, (h,k) being the (x,y) coordinates of the center.

For given equation: x^2/9+y^2/36=1

center: (0,0)

a^2=36

a=√36=6

length of vertical major axis=2a=12

Vertices are end points of major axis=(0,0�a)=(0,0�6)=(0,-6) and (0,6)

Vertices are at (0,-6) and (0,6)

Step-by-step explanation:

Answer:

Explanation: General formula for vertical ellipse Given: x24+y29=1 ... Use the equation provided above, and "plug it" in.

Other Questions
What will the angle of refraction be for a ray of light passing from air into a sodium chloride crystal if the angle of incidence is 60.0? The index of refraction of sodium chloride is 1.53. 10. The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?O A.3O B.4O C.5O D.8 PLZZZ I NEED HELP Ill give 20 POINTSWhat is the median of the following data set?(6,3, 9, 1,7)03060809 Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. 80 integral 0 sin( x ) dx, n = 4 What is the 30th term of the linear sequence below? 4, 1, 2, 5, 8 The impact of the deregulation of broadcast journalism by the 1996 Telecommunications Act has been to Group of answer choices increase competition in the news media. increase the quality of news coverage. free the Internet from unnecessary restrictions. increase newspaper circulation. increase consolidation of ownership. The closed feedwater heater of a regenerative Rankine cycle is to heat 7000 kPa feedwater from 2608C to a saturated liquid. The turbine supplies bleed steam at 6000 kPa and 3258C to this unit. This steam is condensed to a saturated liquid before entering the pump. Calculate the amount of bleed steam required to heat 1 kg of feedwater in this unit. Just a little something The net (see picture) here is cut out and folded to form a cube. Which face will be opposite the face marked X? to get t school each morning vanessa takes a horse 19.33 kilometers and a train 2.27 kilometers . in total the journey takes 26.48 minutes how many kilometers is vanessa,s journey in total? Which of the following is an example of figurative language?A.repetitionB.personificationC.allusionD.inference (02.03 MC) Read and choose the option that best answers the question. Hola, amigos! Me llamo Rubn Suarez y vivo en el pueblo de Mendoza, Argentina. Hoy es sbado y mi padre est enfermo. Yo ayudo a mi padre a hacer las diligencias. Mi padre me dice en su lista de diligencias: >. A las siete de la noche, la tienda de mi padre se cierra. Mi primo Humberto vive en los Estados Unidos. Los fines de semana, mi primo maneja y devuelve los libros a la biblioteca. l tambin recoge la ropa en la lavandera. Despus de hacer las diligencias, compra carne en el supermercado y cena una hamburguesa con su madre. Based on the text, what's a difference between Rubn and Humberto? A. Rubn has fewer errands than Humberto. B. Rubn has more errands than Humberto. C. Rubn does errands with his mom while Humberto does them with his dad. D. Rubn does errands on Monday while Humberto does errands on Tuesday. If 20.0 mL of a 0.0800 M HNO3, 35.0 mL of a 0.0800 M KSCN, and 40.0 mL of a 0.0800 M Fe(NO3)3 are combined, what is the initial concentration of SCN- in the mixture Choose the Verb from that best Completes the sentence. 1. Ahmed wanted to ask where Mr. Tomfrom.(A) came(B) did come(C) comes(D) were comingpay for2. I will ask whetherovertime.(A) with they(B) do they(C) did they(D) they3. He asked me whetherthere.(A) I have ever been(B) have I ever been(C) Did(D) Thad ever been4. I don't know where(A) are Fiat cars made(B) Fiat cars are made(C) do Fiat cars make(D) Fiat cars make5. They told Nooh that theyto see him the following week.(A) were coming(B) will come(C) come(D) camePlease help me I need the answer for this questions faster. Help, please!! What is the mR The rules of a contest say that there is a 5% chance of winning a prize. 400 people enter the contest. Predict how many people will win a prize. Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Graph showing how many cards were collected each week. Vertical axis labeled Cards collected. Coordinate pairs plotted at 1,4, 2,6, 3,8, 4,9, 5,12, 6,13, 7,14, 8,15, 9,18, 10,20. Find the y-intercept of the line on the graph If the ratio of the surface areas of two similar geometrical solids is given by 121:36, what is theratio of their volumes? 11) Assume a population of deer has a crude birth rate of 26 per 1,000/yr, a crude death rate of 15 per 1,000/yr, an immigration rate of 7 per 1,000/yr, and a emigration rate of 9 per 1,000/yr. What is the population growth rate