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Firdavs [7]
3 years ago
10

How many solutions does a system of equations have when solving results in the statement 3=5?

Mathematics
2 answers:
Tems11 [23]3 years ago
8 0

Answer:

No solution

Step-by-step explanation:

3 = 5 is a false statement

So no solution

worty [1.4K]3 years ago
7 0

Answer:

No solution

Step-by-step explanation:

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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
Joey cut a 10.5 foot length rope into 6 pieces of equal length. How long was each piece?
Scorpion4ik [409]
1.75 feet each.
6* 1.75= 10.5
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8 0
3 years ago
Read 2 more answers
The temperature in the late afternoon was -7.5° it dropped 5° by early evening and then dropped another 85° by midnight what was
dalvyx [7]

Step-by-step explanation:

i think you missed a decimal place for 8.5°

when temperatures drop it means minus

so

-7.5-5-8.5= -21°

6 0
3 years ago
Inequalities<br> Which is the graph of the system x + 3y &gt; -3 and y &lt; 1/2x +1?
OLga [1]

Answer:

the 4th graph.

Step-by-step explanation:

by solving for Y in the first equation, we get the y-intercept of -1 and the second equation has a y-intercept of 1. 4th graph is the only graph with those 2 intercepts

6 0
2 years ago
Me ayudaus porfavor? es urgente,poned todos los pasos porfavor
masya89 [10]
Vete a la aplicación “SnapCal” y te dará todos los pasos y también las respuestas.
4 0
3 years ago
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