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The conic section as a collection of points(loci) on a plane can be defined in this way .

A conic section is a curve obtained by intersecting a cone with a plane. In Algebra , There are  four main types of conic sections:

circles, parabolas, ellipses and hyperbolas. Each of these conic sections has different characteristics and formulas that help us solve various types of problems.

A locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.

According to the question

There are 4 main types of Conic section :

circles, parabolas, ellipses and hyperbolas. Each of these conic sections has different characteristics and formulas

Loci for circle : The locus of a circle is defined as a set of points on a plane at the same distance from the center point.

Loci for parabola : A parabola is a locus of points that are equidistance form a focus and a directrix .

Loci for hyperbola: A hyperbola is the locus of points such that the absolute value of the difference between the distances from to and to is a constant.

Loci for ellipse: An ellipse is the locus of all those points in a plane such that the sum of their distances from two fixed points in the plane, is constant. The fixed points are known as the foci (singular focus), which are surrounded by the curve.

Hence, The conic section as a collection of points(loci) on a plane can be defined in this way .

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Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

i know someone put this and i needed help with the oof

Answer: $40.50

Step-by-step explanation:

Since 15% of his total earnings was from raking leaves. The earning from taking leave will be:

= 15% × $90

= 0.15 × $90

= $13.50

Earnings from mowing lawns = $36

The earnings from walking dogs will be:

= $90 - $36 - $13.50

= $40.50

Answer:

c

Step-by-step explanation:

its a, b, and d because these have inputs with different outputs

ex. (-3,-5) and (-3,3)

Answer:

The answer is C. a, b, and d only.

Step-by-step explanation:

A is not a function because -3 has two y like, (-3,-5) and (-3,-3).

B is not a function because like A, it has an x that has more than one y value, like (3,2) and (3,4)

C is a function because all the x values only have one y value, even though there are many x values that contain the same y value but to be a function the x value must not repeat (only if the y value is the same) or have multiple y values for the same x value.

D is not the function because the x value 3 has two different y values, (3,2) and (3,6)

Answer: x < -12

Step-by-step explanation:

Answer:

Yes, we can put 1 kg of the soul in the container.

Step-by-step explanation:

Consider the provided information.

2/5 kg of soul fills 1/3 of a container.

It means if we put 2/5 kg of the soul 3 times in the container then the container will be full.

[tex]\frac{2}{5}+\frac{2}{5}+\frac{2}{5}=\frac{6}{5}[/tex]

It means [tex]\frac{6}{5}[/tex] kgs of soul fill the container.

[tex]\frac{6}{5}[/tex] is greater than 1 so it means we can put 1 kg of the soul in the container.

Answer:

The answer to the question is A

Answer:

20

Step-by-step explanation:

Any number with a decimal of .50 is rounded up. Anything less is rounded down.

So, 19.65 is rounded up to 20.

Answer:

not too sure about it

Step-by-step explanation:

x+5>=10

x>=10-5(collecting like terms)

x>=5☺️

Answer:

Speed of plane in still air: 490  mile/hour

speed of wind: 70  mile/hour

Step-by-step explanation:

still speed = x        wind speed = w

with wind: speed = still + wind

(x+w) * 3 = 1680     ...a

against wind: speed = still - wind

(x-w) * 4 = 1680    ...b

b-a ... 4x-4w-3x-3w = 0

x-7w = 0

x = 7w

substitution: (7w+w)*3 = 1680      8w = 560       wind speed (w) = 70

still speed (x) = 7w = 490 mile/hour

Answer:

The average speed is 7.5 [tex]\frac{ m}{ s}[/tex]

Step-by-step explanation:

Speed ​​is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it.

Then, the average speed relates the change in position to the time taken to effect that change:

[tex]speed=\frac{change in position}{change in time}[/tex]

The change in position is the difference between the final position and the initial position, while the change in time is the difference between the final and initial time.

In this case, the starting and ending positions are calculated by replacing the times in the function of the distance d (t):

d(5)= 0.5*5²= 12.5 m

d(10)= 0.5*10²= 50 m

So:

Replacing in the definition of speed:

[tex]speed=\frac{37.5 m}{5 s}[/tex]

and solving you get:

speed= 7.5 [tex]\frac{ m}{ s}[/tex]

The average speed is 7.5 [tex]\frac{ m}{ s}[/tex]

Answer:

40

Step-by-step explanation:

(2x+1/(2x))^5 *(2x -1/(2x))^5

= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2

= (4x^2-1/4(x)^2)^5

now

x =4x^2. ,a = 1/4(x)^2 ,n =5

we have

general term = Cr *x^r *a^(n-r)

= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)

= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)

= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)

= Cr * 4(2r-n) *x(4r-2n)

now for x^2

4r-2n = 2

4r -10=2

4r =12

r = 3

now for coeff

C(5,3) * 4^(2*3-5)

5!/(3!*(5-3)!) * 4

5*4/(2*1)*4

40

Answer:

<1=117°

Step-by-step explanation:

The sum of two opposite interior angles equals one exterior angle.

<1=58+59=117°

Answer:

12x+36

Step-by-step explanation:

12(x+3)

=(12)(x+3)

=(12)(x)+(12)(3)

=12x+36

Answer:

9.48 ft

Step-by-step explanation:

Step one:

given data

Naomi's square bedroom has an area of 90 square feet

Area of the room = 90 ft^2

Required

the length of the side of the room

Step two:

we know that area is

A= L^2

substitute

90= L^2

L= √90

L=9.48 ft

Answer:

40.32 cm²

Step-by-step explanation:

The area of the small rectangle = 7 × 4 = 28 cm²

Given the ratio of the sides of similar rectangles = a : b , then

the ratio of the areas = a² : b²

Here ratio of sides = 4 : 4.8 = 1 : 1.2

ratio of areas = 1² : 1.2² = 1 : 1.44

Let x be the area of the larger rectangle then by proportion

[tex]\frac{1}{28}[/tex] = [tex]\frac{1.44}{x}[/tex] ( cross- multiply )

x = 40.32

Area of larger rectangle is 40.32 cm²

Answer:

do it yourself loser

Step-by-step explanation:

loser

Answer:

1. 18.84 in

2. 56.52 cm

3. 4.71 ft

4. 25.12 m

5. 37.68 ft

6. 12.56 yd

7. 43.96 in

8. 28.26 cm

9. 7.85 m

Step-by-step explanation:

[tex]C=2\pi r[/tex]

Answer:

1)145,096,704

Step-by-step explanation:

24*2=48

48/3=16

1.2214*2=4428

2.*2=8856

3.*2=17712

4.*2=35424

5.*2=70848

6.*2=141696

7.*2=283392

8.*2=566784

9.*2=1133568

10.*2=2267136

11.*2=4534272

12.*2=9068544

13.*2=18137088

14.*2=36274176

15.*2=72548352

16.*2=145096704

Answer:

B.5

Step-by-step explanation:

5*12=60

Answer:

two are correct:  side ED is equal to DC, and ABCDE is a pentagon

Step-by-step explanation:

pentagon is a polygon having 5 sides

You can find the length of BC by using the distance formula

Answer:

a, d to make it simpler

Step-by-step explanation:

Answer:

176 of 12% vinegar

44 of 7% vinegar

Step-by-step explanation:

Percentage vinegar required = 11%

Volume = 220 mL

First brand % = 7%

Second brand % = 12%

Let p = volume of 12% vinegar material

Mixture :

0.12p + 0.07(220 - p) = 220 * 0.11

0.12p + 15.4 - 0.07p = 24.2

0.05p = 8.8

p = 8.8 / 0.05

p = 176

176 of 12% vinegar and

220 - 176 = 44

44 of 7% vinegar

Answer:

I would say B. 39.

Step-by-step explanation:

Hope this helps:)

Answer:

What percent of the bill would an $11 tip be?: 22%

What percent of the bill would a $12.50 tip be? 25%

Step-by-step explanation:

Edegunity

Answer:

1. 22%

2. 25%

Step-by-step explanation:

edginuity

Answer:

[tex]x = 28[/tex]

Step-by-step explanation:

[tex]50 + (2x) + (3x - 10) = 180[/tex]

[tex]180-50=130[/tex]

[tex](2x) + (3x - 10) = 130[/tex]

[tex]5x - 10 = 130[/tex]

[tex]5x = 130 + 10[/tex]

[tex]5x = 140[/tex]

[tex] \frac{5x}{5} = \frac{140}{5} [/tex]

[tex]x= \frac{140}{5} [/tex]

[tex]x = 28[/tex]

Step-by-step explanation:

whis this is your answer

The number of times getting 6's, when the dice is rolled 600 times is 100.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, the dice is rolled 600 times.

If you roll a fair, 6-sided die, there is an equal probability that the die will land on any given side. That probability is 1/6. This means that if you roll the die 600 times, each face would be expected to appear 100 times.

Therefore, number of times getting 6's, when the dice is rolled 600 times is 100.

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Answer:

Step-by-step explanation:

1.21 United States Dollar