A parabola can be drawn given a focus of (5, 9)and a directrix of y=3. Write the equation of the parabola in any form.​

Answer:

70°

Step-by-step explanation:

In the context it says that Franklin St. is parallel to Washington St.

The 110° formed by Franklin St. and Mulberry St. is a supplementary angle to Angle x.

Supplementary angles are angles that add up to each other to make 180°

So lets subtract:

180 - 110 = 70°

Angle x = 70°

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

8÷4+7-3 =6

8÷4+2-1 =3

6÷2+5-1 = 7

5÷1+6-2= 9

0÷5+4+3= 1

(1) The missing numbers are 2 and 5

(2) The missing numbers are 4 and 0

(3) The missing numbers are 6 and 8

(4) The missing numbers are 1 and 9

(5) The missing numbers are 7 and 3

The solution to the given problem is as follows;

In order of mathematical operation, we resolve division first before addition and finally subtraction.

In this problem we are to choose numbers from 0 to 9 and assume that no number will be repeated.

(1) (8 ÷ 2) + (5 - 3) = 6

⇒  4 + 2 = 6

so the missing numbers are 2 and 5

(2) (4 ÷ 4) + (2 - 0)= 3

⇒  1   +  2  = 3

so the missing numbers are 4 and 0

(3) (6 ÷ 2) + (6 - 1) = 8

⇒ 3 + 5 = 8

so the missing numbers are 6 and 8

(4) (5 ÷ 1) + (6 - 1) = 9

so the missing numbers are 1 and 9

(5)  (0 ÷ 7) + (4 - 3) = 1

so the missing numbers are 7 and 3

Thus, all the numbers from 0 to 9 have been used and non was repeated.

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Answer:

339.290

Step-by-step explanation:

by using the formula for surface area of cylinder that is 2πrh+2πr^2

Answer:

b

Step-by-step explanation:

Answer:

11 and -11

Step-by-step explanation:

Answer:

1 / 2704

Step-by-step explanation:

Number of cards in a deck = 52

9 of clubs in a deck = 1

10 of clubs in a deck = 1

Probability = required outcome / Total possible outcomes

P(9 of club) = 1 / 52

With replacement ;

Then ;

P(10 of club) = 1 / 52

Hence,

P(9 of club, then 10 of club) = 1/52 * 1/52 = 1 / 2704

Answer:

200*34=6800

Step-by-step explanation:

Write the possible combinations like

200*34

200*43

300*24

300*42

400*32

400*23

then you chose what will give you 6800 as the answer

Answer:

45 g

Step-by-step explanation:

Answer:

[tex]19.5\:\mathrm{m^3}[/tex]

Step-by-step explanation:

The volume of a square pyramid is given by [tex]V=\frac{1}{3}\cdot s^2\cdot h[/tex], where [tex]s[/tex] is the base edge and [tex]h[/tex] is the height. Since the base area ([tex]s^2[/tex]) is already given to us, we can substitute directly in to our equation.

Solving for [tex]V[/tex]:

[tex]V=\frac{1}{3}\cdot 6.8\cdot 8.6\approx \boxed{19.5\:\mathrm{m^3}}[/tex]

The answer on deltamath is

19.5m^3

Answer:

3,400 grams

Step-by-step explanation:

The total amount of flour needed to make two batches of each recipe is 3400 grams.

1000 grams is equal to 1 kilogram.

Amount of flour used in one batch of the first recipe= 1 kilogram

So, the amount of flour used in two batches of the first recipe=2 kilogram =2000 grams.

Amount of flour used in one batch of the second recipe= 700 grams

So, the amount of flour used in two batches of the second recipe= 2*700=1400 grams.

Total amount of flour needed = 2000+1400 =3400 grams.

Hence, The total amount of flour needed to make two batches of each recipe is 3400 grams.

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Answer:

πr + (4+6+6+8) = 2π+24=30.28

Answer:

10,000 × .08 = 800.

Step-by-step explanation:

2400 interest in 3 yrs

Answer:

18.

Step-by-step explanation:

3*12 = 36

36/2 = 18

18*3 = 54

54/3 = 18

Answer:

18

Step-by-step explanation:

3 x 12 is 36,

36 divided by 2 is 18,

18 x 3 is 54,

54 divided by 3 is 18

Answer:

Hello! First problem: A. 48

Second problem: 62

Hope that helps!

Answer:

16x-30

Step-by-step explanation:

distribute 2/5 by 40x and then 75

2/5(40x) - 2/5(75)

16x - 30

Answer:

2/5

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

good luck you got this

Answer:

Step-by-step explanation:

Here we want the side length of x, which is adjacent to the angle 31 degrees. Cosine is the ratio we want because it is adj/hypotenuse.

Here's our basic equation:

cos31=x/17

or

17 * cos31=x

Put this into the calculator and you get around 15.6

Answer:

∠C=39°

Step-by-step explanation:

The interior angles of a triangle will always have a sum of 180°.

∠A+∠B+∠C=180°

78°+63°+∠C=180°

∠C=180°-78°-63°

∠C=39°

Answer:

39 degrees

Step-by-step explanation:

All triangles will add up to 180 degrees. So, you know that angle C added with angles A and B will equal 180. if you take 180, minus 78, minus 63, you get the answer 39.

Answer:

Okay well if you need to find mph she is going 10 mph

Step-by-step explanation:

1/2+1/2= 1 mile in 10 min, multiply both sides by 6 and you get 1 mile = 60min

Answer:

Option E

Step-by-step explanation:

Explicit formula of a geometric sequence is,

[tex]T_n=a_1(r)^{n-1}[/tex]

Here, [tex]a_1=[/tex] First term

[tex]r=[/tex] common ratio

[tex]n=[/tex] number of terms

If, [tex]a_1=18[/tex] and [tex]a_2=9[/tex]

Common ratio of the sequence [tex]r=\frac{a_2}{a_1}[/tex]

[tex]r=\frac{9}{18}[/tex]

[tex]r=\frac{1}{2}[/tex]

By substituting these values in the formula,

[tex]T_n=18(\frac{1}{2} )^{n-1}[/tex]

Therefore, Option E is the answer.

Answer: B

Step-by-step explanation:

Answer:

the person is correct b

Step-by-step explanation:

Step-by-step explanation:

60+5x+5=180 (being angle of straight line)

5x+65=180

5x=180-65

5x=115

x=23

Answer:

C. y = x + 2

Step-by-step explanation:

2 is being added onto both sides

Answer:

lol get a life

Step-by-step explanation:

ok so

leave y^2 alone

so you need to get 2 factors that when added equal 11 so 9x2=18

and 9+2=11

so it would be (y+9)(y+2)

hope this helps

Answer:

Step-by-step explanation:

(x + 9 ) ( x + 2 )

Answer:

A. 850 cubic feet

Step-by-step explanation:

Have a good day :)

Answer:

x= -1, y=1

Step-by-step explanation:

First label the 2 equations.

7x +6y= -1 -----(1)

-x +2y= 3 -----(2)

Then choose which term you would like to eliminate. To eliminate the y term, multiply equation (2) by 3 such that the coefficient of y is 6.

(2) ×3:

-3x +6y= 9 -----(3)

Since the coefficient of y is positive 6 in both equations, subtract one equation from the other.

(3) -(1):

-3x +6y -(7x +6y)= 9 -(-1)

Expand:

-3x +6y -7x -6y= 9 +1

-10x= 10

x= 10 ÷(-10)

x= -1

Substitute x= -1 into (2):

-(-1) +2y= 3

1 +2y= 3

2y= 3 -1

2y= 2

y= 2 ÷2

y= 1

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

2nd method: eliminating the x term

(2) ×7:

-7x +14y= 21 -----(3)

Since the coefficient of y in equation (1) is a positive 7, while that in equation (3) is a negative 7, add the 2 equations together to eliminate the x term.

(1) +(3):

7x +6y -7x +14y= -1 +21

20y= 20

y= 20 ÷20

y= 1

Substitute y= 1 into (2):

-x +2(1)= 3

-x +2= 3

-x= 3 -2

-x= 1

x= -1

Answer:

140 drops

Step-by-step explanation:

Length of the pool = 24 feet

Width of the pool = 14 feet

Depth of the pool = 5 feet

Volume of the pool = length × width × depth

= 24 ft * 14 ft * 5 ft

= 1,750 ft³

Volume of the pool = 1,750 ft³

He needs to add 4 drops of chlorine for every 50 cubic feet in his pool.

Number of 50 cubic feet in the volume of the pool = Volume of the pool / 50 ft³

= 1,750 ft³ / 50 ft³

= 35

Number of 50 cubic feet in the volume of the pool = 35

How many drops of chlorine should Jorge use to chlorinate his pool properly?

Number of drops of chlorine Jorge should use = number of drops per 50 ft³ × Number of 50 cubic feet in the volume of the pool

= 4 × 35

= 140 drops

Number of drops of chlorine Jorge should use = 140 drops