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3 years ago

Using the given information write the equation of parabolas:

Mathematics

1 answer:

lana [24]3 years ago

8 0

The general form of the equation we need to find is (x - h)^2 = 4p(y- k).

The center is the distance between the directrix and focus.

So, center (h, k) = (3, 3/2) .

P = distance from center to the focus and it just so happens to be 1.5.

We now plug everything into the formula given above.

(x - 3)^2 = 4(1.5)(y - 3/2)

(x - 3)^2 = 6(y - 3/2)

Done!

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Find the area of the polygon. A = __ft squared

Nataliya [291]

Answer:

28.5^2

Step-by-step explanation:

The formula is, b(base)+c(height)= b+c over 2. b+c/2.

B=19ft in this problem.

C=38ft

Knowing this, we can further simplify.

19+38/2

Now, we add 19 and 38.

(57)

57/2= 28.5

So, the anwser is 28.5^2

8 0

2 years ago

A building is 3 ft from an 8-ft fence that surrounds the property. A worker wants to wash a window in the building 13 ft from t

zloy xaker [14]

Answer:

Length of the ladder used by worker = 17 feet

Step-by-step explanation:

Given:

Height of the window from the ground = 13 ft

Distance of fence from the building = 3 ft

Distance of ladder from the building = (3+8) = 11 ft

We have to find the length of the ladder.

Let the length of the ladder be 'x'

From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.

Using Pythagoras formula:

⇒ $hypotenuse\ 'x' =\sqrt{(perpendicular)^2+(base)^2}$

Here base length = 11 ft

Perpendicular = 13 ft

Plugging the values:

⇒ $x=\sqrt{(13)^2+(11)^2}$

⇒ $x=\sqrt{(169+121)}$

⇒ $x= \sqrt{290}$

⇒ $x=17.02$ feet

The length of the ladder = 17 feet to its nearest tenth.

6 0

3 years ago

The value of the under lined digit of 6,035

dem82 [27]

Which number is the under lined digit?

7 0

3 years ago

Read 2 more answers

Desribe how to use a tens fact to find the difference for 15-8

Fittoniya [83]

Answer/explanation :

Step-by-step

subtract 15-8 you have 7 then take

10- ur answer is 7

10-7= 3

5 0

2 years ago

A bag contains 77 apples and 55 oranges. if you select 66 pieces of fruit without looking, how many ways can you get 66 apples

yuradex [85]

77C55*55 = (77! X 66!/ 2) = 139,755

6 0

3 years ago