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ANTONII [103]
3 years ago
9

Convert: 76.8°F = ________ °C

Mathematics
1 answer:
kirill [66]3 years ago
4 0
It’s 24.88889 Celsius.
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The diameter of a circle is 8 inches. What is the area?
lord [1]
The answer is 50.24. First, take the diameter and divide it by two (4). Then, multiply it by itself (16). Lastly, multiply it by pi,(3.14).
6 0
3 years ago
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The boundary of the lawn in front of a building is represented by the parabola . The parabola is represented on the coordinate p
Colt1911 [192]
The boundary of the lawn in front of a building is represented by the parabola

y = (x^2) /16 + x - 2

And you have three questions which require to find the focus, the vertex and the directrix of the parabola.

Note that it is a regular parabola (its symmetry axis is paralell to the y-axis).

1) Focus:

It is a point on the symmetry axis => x = the x-component of the vertex) at a distance equal to the distance between the directrix and the vertex).

In a regular parabola, the y - coordinate of the focus is p units from the y-coordinate of the focus, and p is equal to 1/(4a), where a is the coefficient that appears in this form of the parabola's equation: y = a(x - h)^2 + k (this is called the vertex form)

Then we will rearrange the standard form, (x^2)/16 + x - 2 fo find the vertex form y = a(x-h)^2 + k

What we need is to complete a square. You can follow these steps.

1) Extract common factor 1/16 => (1/16) [ (x^2) + 16x - 32]

2) Add (and subtract) the square of the half value of the coefficent ot the term on x =>

16/2 = 8 => add and subtract 8^2 => (1/16) [ (x^2) + 16 x + 8^2 - 32 - 8^2]

3) The three first terms inside the square brackets are a perfect square trinomial: =>

(1/16) [ (x+8)^2 - 32 - 64] = (1/16) [ (x+8)^2  - 96] =>

(1/16) [(x+8)^2 ] - 96/16 =>

(1/16) (x +8)^2 -  6

Which is now in the form a(x - h)^2 + k,
where:

a = 1/16 , h = - 8, and k = -6

(h,k) is the vertex: h is the x-coordinate of the vertex, and k is the y-coordinate of the vertex.

=> a = 1/16 => p =1/4a = 16/4 = 4
 
y-componente of the focus = -6 + 4 = -2

x-component of the focus = h = - 8

=> focus = (-8, -2)

2) Vertex

We found it above, vertex = (h,k) = (-8,-6)


3) Directrix

It is the line y = p units below the vertex = > y = -6 - 4 = -10

y = -10   

 


4 0
3 years ago
PLZ HELP ASAPPPPPP find the rate of change from the points 5,24 and 36,7.5
Licemer1 [7]
Y₂-y₁ ÷x₂-x₁ =

(7.5 - 24) ÷ (36-5) =

-16.5 ÷ 31 = -16.5/31 ≈ -0.5322480

Or as a fraction: -33/62
7 0
3 years ago
2x-4=10 reverse order algebra
hjlf

Answer:

7

Step-by-step explanation:

2x-4=10

2x=10+4

2x=14

x=14/2

x=7

8 0
3 years ago
At a recent party it cost $9.50 for refreshments for 10 guest.at this rate,how much would it cost to have refreshment for 80 gue
Talja [164]
For 80 guests you will need 80/10 = 8 times more than for 10 guests:

8*9.50 = $76

Refreshment for 80 guests costs $76.
8 0
3 years ago
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