Triangle DAN is graphed on the set of axes below.
The vertices of ADAN have coordinates D(-6,-1),
A(6,3), and N(-3,10).

Answer:

vertex = (5, - 1 )

Step-by-step explanation:

The focus and directrix are equidistant from the vertex

Since the equation of directrix is y = - 3 then the parabola is vertical,

The distance between the focus and directrix is

| 1 - (- 3) | = | 4 | = 2

Thus the vertex is 2 units below the focus

vertex = (5, 1 - 2 ) = (5, - 1 )

A parabola has focus (5, 1) then the vertex of the parabola will be (5, -1).

A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.

As per the given information in the question,

The focus and directrix are equidistant from the vertex then,

The parabola is vertical because the directrix's equation is y = - 3; hence, the focus and directrix are separated by:

|1 - (-3)| = |4| = 2

The vertex is therefore 2 units below the focus.

vertex = (5, 1 - 2) = (5, -1)

To know more about Parabola:

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Step-by-step explanation:

1.Read the Entire Word Problem.

2.Think About the Word Problem.

3.Write on the Word Problem.

4.Draw a Simple Picture and Label It.

5.Estimate the Answer Before Solving.

6.Check Your Work When Done.

7.Practice Word Problems Often.

Answer:

14 m is more

Step-by-step explanation:

14 meters = 1400 cm

14 x 100=1400

Answer:

14 m is more

Step-by-step explanation:

1 m = 100 cm

14 m

= 14 x 100

= 1400 cm

1400 cm > 140 cm

14 m > 140 cm

Answer:

Hewo!!!

The answer is 9.1 or if you don't want a decimal then, 9.

Step-by-step explanation:

10%          ?

___        ___

100          91

First:

you make them into fractions (hint: 100 is ALWAYS the denominator of your percent)

Second:

You multiply 10 and 91 which gives you 910

Third:

910

___

100

You put the fractions like this and cross out the two zeros to get this:

91

__

10

Lastly you divide 91 and 10 which gives you 9.1 and if you don'y want a decimal then round it to the nearest whole number which gives you 9.

Hope this helps!! =3

Answer:

1 / 16

Step-by-step explanation:

Number of options = 4

Number of correct answers = 1

Number points gained for a correct answer = 1

Number of points lost for an incorrect answer = 1/4 = 0.25

Probability of choosing a correct option = 1/4

Probability of choosing an incorrect option = 3/4

x ____ 1 ______ - 1/4

P(x) __ 1/4 ______ 3/4

Expected gain or loss :

E(x) = Σx*p(x)

E(x) = (1 * 1/4) + (-1/4 * 3/4)

E(x) = 1/4 - 3/16

E(x) = (4 - 3) / 16

E(x) = 1 /16

A gain of 1/16

Answer:

588

Step-by-step explanation:

multiply length x width x height 7×6×14

Step-by-step explanation:

multiply 7,6,14

=588

therefore the answer in cubic centimeters is= 588

Answer:

H

Step-by-step explanation:

Answer:

y>7

Step-by-step explanation:

3y-15>6

Add 15 to both sides

3y-15+15>6+15

Simplify;

3y>21

Divide both sides by 3

3y/3>21/3

Simplify;

y>7

Answered by NONE other than then ONE and ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!!

Answer:

The answer is 9x-68 :)

Step-by-step explanation:

Answer: You can save 15% or more on car insurance when you switch to Geico

Step-by-step explanation:

The difference in sale prices between the two stores is $4.5.

A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.

Given that, a $30 sweater is on sale for 20% off at Kohls.

Here, sales price = 30-20% of 30

= 30-20/100 ×30

= 30- 0.2×30

= 30-6

= $24

The same $30 sweater is on sale at Macy's for $5 off the price.

Here, sales price = 30-5% of 30

= 30-5/100 ×30

= 30- 0.05×30

= 30-1.5

= $28.5

So, difference in price = 28.5-24

= $4.5

Therefore, the difference in sale prices between the two stores is $4.5.

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Answer:

21000 cm

Step-by-step explanation:

Answer:

13 x 50 = 650

Step-by-step explanation:

Answer:

75 ft

Step-by-step explanation:

Answer:

1 and 10

Step-by-step explanation:

Answer:

1 and 10

Step-by-step explanation:

1×10=10

1+10=11

Answer:27777777777777/10000000000000

Step-by-step explanation:A decimal that keep repeating over and over again is called a repating decimal or irrational numbers as the classifying numbers that these.

Answer:

87.9990

Step-by-step explanation:

−2.7¯¯¯

Answer:

AD = 8

DC = 15

m∠A = 112°

m∠B = 68°

m∠C = °

Step-by-step explanation:

If we're working with parallelograms, we can assume that each line and it's opposite are perfectly parallel.

To find AD, all you need to do is look to the opposite line, BC. Since This is a parallelogram, AD = BC, so AD is 8.

To find DC, you do the exact same. Find the opposite line that it is parallel to, in this case that's AB, and since AB = DC, you know that DC = 15.

To find m∠A, let's look at m∠D. Since m∠D = is 68°, We can use that knowledge to find m∠A. Since the two angles are right beside each other on the same line, together they would equal 180° if you added them up. But since you don't know what m∠A is, you just have to subtract 68 from 180.

180 - 68 = 112.

To find m∠B, We simply look back to m∠D. Since m∠B is directly opposite to m∠D, That means they have the same value, 68°.

And finally, to find m∠C, we do the same thing we did to find m∠B. m∠C is directly across from m∠A - we have already found m∠A, and we know that it is 112°. Therefore, m∠C is 112° as well.

Answer:

5√3 ft

Step-by-step explanation:

If the ladder is 10ft tall, then that represents the hypotenuse. If the foot of our ladder is 5ft away from the wall, that is a side length that we know. Using the Pythagorean Theorem, a²+b²=c², where a and b are side lengths of a right triangle, and c is the hypotenuse, we can solve for the missing side length:

a²+b²=c²

(5)²+b²=(10)²

25+b²=100

b²=75

b=√75

b=5√3

So the ladder will reach a height of 5√3 ft.

Answer:

It is an rational

Step-by-step explanation:

Answer:

41.99

Step-by-step explanation:

74.99*(100%-30%)

52.493

52.493(100%-20%)

41.99

Answer:

2.2 $

Step-by-step explanation:

profit= 1.35 $

cost= 0.85 $

Price= profit+cost

P=1.35+0.85

P=2.2 $

Answer:

0

Step-by-step explanation:

this is the correct answer you want please follow me ol

Step-by-step explanation:

Given

Circumference of circle = 48.042 yards

diameter (d) = ?

we know

Circumference = πd

or, 48.042 = 3.14 * d

or, d = 48.042 / 3.14

Therefore d = 15.3 yards

The circle's diameter is 15.3 yards.

Hope it will help :)❤

Answer:

18.86 m

Step-by-step explanation:

From the given question, both covers the same distance of the straight line segment.

For the inner lane,

length of arc of its semicircle = [tex]\pi[/tex]r

                                   = 30 x [tex]\frac{22}{7}[/tex]

                                   = 94.2857

So that,

the total length for the two halves of the inner lane = 2 x 94.2857

                                                                  = 188.5714 m

For the outer lane,

length of arc of its semicircle = [tex]\pi[/tex]r

                                                 = 33 x [tex]\frac{22}{7}[/tex]

                                                 = 103.7143

The total length for the two halves of the outer lane = 2 x 103.7143

                                                                  = 207.4286 m

The difference between the two = 207.4286 - 188.5714

                                                       = 18.8572 m

Therefore, Devin would run 18.86 m more to complete one lap.

Answer:

G 1.0=10^-9, exponents are usually used with a ^ yw

Step-by-step explanation:

Answer:

D) 59.66 m

Step-by-step explanation:

circumference = 19π = 59.66 m

Answer:

Step-by-step explanation:

93 percent because 13 of the20 is Doritos

Answer:

a) 60%

b) 65%

Step-by-step explanation:

a) 30 ÷ 50 × 100 = 0.6 × 100

= 60%

b) 13 ÷ 20 × 100 = 0.65 ×100

= 65%