What are the lengths of the major and minor axes of the ellipse?
(x−3)^2/18 + (y+4)^2/32=1

Answer:

1. 37.5

2. 8

Step-by-step explanation:

1. the smaller triangle and the bigger triangle are similar, so the sides are also similar.

this means that 16/46 = 20/(x+20)

then, just solve that for x

16/46 = 20/(x+20)

divide both sides by 4

4/46 = 5/(x+20)

multiply both sides by (x + 20)

(x+20) * 4/46 = 5

multiply both sides by 46

4x + 80 = 230

subtract 80

4x = 150

divide 4

x = 37.5

2. do the same thing ( still similar triangles)

the equation would be (3x + 1)/10 = (7x - 1)/22

solve

22(3x + 1) = 10(7x - 1)

66x + 22 = 70x - 10

32 = 4x

x = 8

Answer:

x is 8.2 I think hold on

yeah I think

The required angles from smallest to largest are m<M < m<L < m<K

Given the coordinate of the triangle KLM given as K(-2,-2), L(2, 6), M(7, -2)

Get the measure of KL, KM and LM using the distance formula as shown:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y)_1)^2}[/tex]

For the length KL with coordinate points K(-2,-2), L(2, 6)

[tex]KL=\sqrt{(2-(-2))^2+(6-(-2))^2}\\KL=\sqrt{4^2+8^2}\\KL=\sqrt{16+64}\\KL=\sqrt{80}\\KL =4\sqrt{5}[/tex]

For the length KM with coordinate points K(-2,-2), M(7, -2)

[tex]KM=\sqrt{(7-(-2))^2+(-2-(-2))^2}\\KM=\sqrt{9^2+0^2}\\KM=\sqrt{81}\\KM=9[/tex]

The length LM with coordinate points L(2,6), M(7, -2)

[tex]LM=\sqrt{(7--2)^2+(-2-6)^2}\\LM=\sqrt{5^2+(-8)^2}\\LM=\sqrt{25+64}\\LM=\sqrt{89}[/tex]

From the distances, we can see that side LM > KM > KL. Hence the required angles from smallest to largest are m<M < m<L < m<K

Learn more on distances between two points here: https://brainly.com/question/23848540

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:

(

−

1

,

−

6

)

(

-

1

,

-

6

)

Focus:

(

−

1

,

−

49

8

)

(

-

1

,

-

49

8

)

Axis of Symmetry:

x

=

−

1

x

=

-

1

Directrix:

y

=

−

47

8

y

=

-

47

8

x

y

−

3

−

14

−

2

−

8

−

1

−

6

0

−

8

1

−

14

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:

(

−

1

,

−

6

)

(

-

1

,

-

6

)

Focus:

(

−

1

,

−

49

8

)

(

-

1

,

-

49

8

)

Axis of Symmetry:

x

=

−

1

x

=

-

1

Directrix:

y

=

−

47

8

y

=

-

47

8

x

y

−

3

−

14

−

2

−

8

−

1

−

6

0

−

8

1

−

14

Step-by-step explanation:

Answer: Approximately 859.06926 meters

Explanation:

Draw a right triangle. The vertical leg is 780 meters and the horizontal leg is 360 meters. The hypotenuse represents the magnitude of the resultant vector. Use the pythagorean theorem to find it.

a^2+b^2 = c^2

c = sqrt(a^2 + b^2)

c = sqrt( 780^2 + 360^2 )

c = 859.06926

The distance from the original starting point to the finish line is roughly 859.06926 meters.

Answer:

5 m, 2 m, 2.5 m, 2 m, 2.5 m, 4 m.

Step-by-step explanation:

First find the length of the 2 missing sides. Remember that the picture is WAY out of proportion, so the sides won't be what they look like.

Since the left side is 4 and the right side is 8 cm, the missing left side is 4 cm.

Since the top side is 5 and the bottom side is 10 cm, the missing top piece is 5 cm.

So the sides starting at the bottom right and going clockwise are 10, 4, 5, 4, 5, 8 cm. Multiply each of these * 0.5 and call them meters.

5 m, 2 m, 2.5 m, 2 m, 2.5 m, 4 m.

Answer:

y = -4x+2

Step-by-step explanation:

To find a perpendicular line, the slope would be -4.

y=-4x

Since the point it has to go through is (0,2), the y-intersept is already given.

y = -4x+2

Answer:

x=3

Step-by-step explanation:

Answer:

  15π/2 ft

Step-by-step explanation:

Arc length is given by the formula ...

  s = rθ . . . . . r = radius; θ = central angle in radians

A 135° arc has a radian measure of (135)(π/180) = 3π/4. The radius of a circle with a 20 ft diameter is (20 ft/2) = 10 ft. So, the arc length is ...

  s = (10 ft)(3π/4) = 30π/4 ft = 15π/2 ft

Looks like you have 2 similar triangles.

all the angles from one triangle are congruent to all the angles from the other triangle.

The sides must be proportional.

Therefore 6/5 = x/25, where x is the height of the house, 6 is the height of paul's eyes, 5 is the distance between paul and the mirror, and 25 is the distance between the house and the mirror.

Cross multiply h to get 6*25 = 5*x.

Divide both sides of the equation by 5 to solve for x to get:

x = 6*25/5 = 6*5 = 30.

Answer:

A

i will go with a. hope to help u

Answer:

  66,000 kg·km/hr

Step-by-step explanation:

  p = mass × velocity

  p = (1200 kg) × (55 km/hr) = 66,000 kg·km/hr

_____

Additional comment

Here, we have used the standard metric units for momentum. The units you choose can be any mass·velocity units that meet your needs.

Answer:

24000

Step-by-step explanation:

400 can be rounded to 400 and 63 can be rounded to 60

400x60=24000

your exact product would be 26271

hope this helps

Answer:

assuming its dividing by two, 7.8135

Step-by-step explanation:

if you're dividing by something else the answer will be different. hope this helps

Answer:1.33 (Repeated decimal)

Step-by-step explanation: Since 54/9 would give you 6, that would mean the scale factor would be 6. That means x multiplyed by 6 would give you 8. So, you would do 8/6 which would give you 1.333 (Repeated decimal) and this is your answer.

Answer:

do you have any image of the question? If yes please pose here.

Answer:

See below:

Step-by-step explanation:

I'm sorry, I don't think I understand the question. Could you put periods in the sentence or maybe write out the questions on individual lines? Thanks.

Answer:

a) 4cd²

b) 3a²b³

Step-by-step explanation:

a) 8c⁴d⁵/2c³d³

1: you would divide the 8 by 2

2: subtract the exponents on c so it would be 4-3 = 1

3: subtract the exponents on d so it would br 5-3 = 2

4: put it all together so it would be 4c¹d² but you dont need the 1 above c

b) 1: divide 9 by 3

2: subtract exponents on a so it would be 3-1 = 2

3: subtract exponents on b so it would be 5-2 = 3

4: put it all together so it would be 3a²b³

hope this helped!! :)

                              Answer:

a.   4cd²       b.  3a²b³

Step-by-step explanation:

        [tex]\frac{8c^4d^5}{2c^3d^3}[/tex]

 =    [tex]\frac{8}{2} ( \frac{c^4}{c^3} )(\frac{d^5}{d^3})[/tex]  

  =     [tex]\frac{4}{1} (\frac{c}{1}) (\frac{d^2}{1} )[/tex]    Reduce number.  Substract exponent largest power

                           smallest power  

   =   4cd²  

b.    [tex]\frac{9a^3b^5}{3ab^2}[/tex]

        [tex]\frac{9}{3} (\frac{a^3}{a} ) (\frac{b^5}{b^2} )[/tex]

        [tex]\frac{3}{1} (\frac{a^2}{1}) (\frac{b^3}{1} )[/tex]       Reduce number.  Substract exponent largest power

                              smallest power  

    = 3a²b³

Answer:

71.8

Step-by-step explanation:

Answer:

x = 33

Step-by-step explanation:

11 - 4 = 7

You need to make that fraction equal 11

33/3 = 11

I hope this helps!

Answer:

1/64

Step-by-step explanation:

Answer: that would be 1/64

Step-by-step explanation:

for this type of question you put it 1/ such as:[tex]\frac{1}{8*8}[/tex] i got 8*8 because of The 8^2

and 8*8=64 therefor the answer is 1/64

*you put it over 1 to get rid of the negative exponents*

Answer:

The value of 14(n+1) is 112.

Step-by-step explanation:

14n=98

n=98/14

n=7

-------------

14(n+1)=14(7+1)=14(8)=112

Answer:

Olivia's puppy is linear i know this because after applying to the graph i got a straight line.

Step-by-step explanation:

Answer:

When looking at the table you can see that for every increase of 1 in the x value it results in an increase of 1 in the y value. The rate of change is constant.

Rate of change is calculated by the change in y/change in x

For the points (1,2), (3,3) and (5,4) the rate of change calculation would be as follows:

(1, 2)(3, 3)

3-2 / 3-1= 1/2

(3, 3)(5, 4)

4-3 / 5-3= 1/2

Since both equal 1/2 the rate of change is constant therefore making it linear.

Step-by-step explanation:

Answer:

y=-4x+16

Step-by-step explanation:

5x+1.25=20

y=4x

5x+1.25y=20       y=4x

1.25y=-5x+20

1.25y/1.25=-5x+20/1.25

Answer:

A triangle with the side lengths of these numbers can not exist: 9,3 and 6

Step-by-step explanation:

hope it helps

Step-by-step explanation:

Let the third side be x

We know that

Sum of two sides of a triangle must be greater than the third side

So,

9 + 3 > x

12 > x (1)

Also, difference of two side of triangle must be smaller than the third side

9 - 3 < x

6 < x (2)

From 1 and 2 we concluded

6 < x < 12

The length of third side would lie between 7 to 11

Answer:

Step-by-step explanation:

for 1. The addition property of equality esssentially means that if you were to add/subtract the same value to both sides of the equation, the equation would remain equal. this would be associated with 3. since adding 12 to both sides would give x on one side and 16 on the other which is equal to x=16

for 2. "given" just means the problem, so it is the 1st option. it just means "given the problem..."

for 3. collectiing like terms is the addition of -5x +6x. since they are on the same side eof the equation, and are in the same measurements (of x) they can be combined to eqaul positive x, this is represented by option 2

Answer:

Which Restaurant and aquarium

Step-by-step explanation:

If you tell the name I can answer it