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VashaNatasha [74]
2 years ago
15

What is the value of the equation 9/2÷(-3)0

Mathematics
1 answer:
Finger [1]2 years ago
6 0
The answer just keeps coming back to zero dude it's simple you can't really calculate this either way the value of it would just be zero you can't simplify it or anything
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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
Someone please help me!!!!!!!
Usimov [2.4K]

Step-by-step explanation:

In the second step while opening the bracket, instead of 'a', there should be - 4a.

5 0
3 years ago
Read 2 more answers
What is the value of p?<br><br> A) 55<br><br> B) 45<br><br> C) 35<br><br> D) 125
Margarita [4]

Answer:

35

Step-by-step explanation:

just subtract 125 and 99

7 0
3 years ago
Write an equation in slope-intercept form of the line with slope 3/4 that contains the point (-4,1)
marusya05 [52]

Answer:

y = 3/4x + 4

Step-by-step explanation:

to put it into slope intercept form, you need to find the y intercept or b becasue the slope intercept form is y = mx + b where b is the y intercetpt and m is the slope. To find b you insert the points you were given so 1 = -4(3/4) + b

which simplifies to 4 = b so then you can put in your slope and y intercept into slope intercept form

6 0
3 years ago
Your test scores for the semester are 87,84 and 85.Can you raise your test average to 90 with you next test?
Rainbow [258]

Answer:

Yes

Step-by-step explanation:

If you add 87.84, 85, and 100 you get 272.84. Once you divide that by 3 you get 90.946, which would be your test average if you score 100 on your next test.

6 0
2 years ago
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