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Sergeeva-Olga [200]
3 years ago
6

What values of the variable cannot possibly be solutions for the given equation, without actually solving the equation?

Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0

Answer:

the solution to the equation is 8.  Any value apart from 8 is not a solution

Step-by-step explanation:

Given the equation

6/3x+2 - 1/x-4 = 0

6/3x+2 = 1/x-4

Cross multiply

6(x-4) = 3x+2

6x - 24 = 3x+2

6x-3x = 2 + 24

3x = 24

x = 24/3

x = 8

Hence the solution to the equation is 8.  Any value apart from 8 is not a solution

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Alonzo wrote the equation x = 2+4y-5. Which equation is equivalent?
Rainbow [258]

Consider the equation x = 2+4y-5, it can be expressed as x = 4y-3.

Now, we have to write the equivalent equation.

Since, Equivalent equations are those equations which have exactly same solution. We can say that the two equations are equivalent if solution of one equation is the solution of other equation.

So, consider the equation x = 4y -3

Equivalent equation can be obtained by multiplying the given equation by any number say '2'.

Multiplying both sides of the given equation by '2'.

x = 4y-3

2 \times x = 2 \times (4y-3)

2x = (2 \times 4y)-( 2 \times 3)

2x = 8y-6 is the required equivalent equation.

6 0
3 years ago
What is the distance from point Yto wx in the figure below?
vovikov84 [41]

Answer:

C

Step-by-step explanation:

The distance YZ is sqrt(34^2-30^2)=16

6 0
3 years ago
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Let P be the parabola with focus (0,4) and directrix y=x.Write an equation whose graph is a parabola with a vertical directrix t
prisoha [69]

Answer:

y²=4√2.x

Step-by-step explanation:

The focus is at (0,4) and directrix is y=x or x-y =0, for a parabola P.

The distance between the focus and the directrix of the parabola P is

\frac{ |0-4| }{\sqrt{(1)^{2}+(-1)^{2}  } }=\frac{4}{\sqrt{2} }

{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by \frac{ |ax1+by1+c| }{\sqrt{a^{2}+b^{2}  } } }

Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax

{Since the parabola has vertical directrix}

Hence, the distance between focus and the directrix is 2a = \frac{4}{\sqrt{2} }, {Two parabolas are congruent when the distances between their focus and the directrix are same}

⇒ a=√2

Therefore, the equation of the parabola is y²=4√2.x (Answer)

3 0
3 years ago
If a bicycle wheel has a diameter of 21 inches what the exact circumference?
Blababa [14]

Answer:

Circumference = 65.97344573

Step-by-step explanation:

Given the diameter of a circle, we can use the formula C = πd to find the circumference.

C = circumference

π = pi

d = diamater

Equation: 21(π) = 65.97344573

Make sure to round to whatever decimal place is asked for!

6 0
3 years ago
Given f(x)=2x-10 determine the value if f(x)=8
koban [17]

Answer:

f(x)=2x-10 ______(given)

f(x)=8 _______(given)

Therefore, according to the above problem

2x-10=8

2x=10+8

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x=18/2

<u>x=9</u>

<h3><u>9</u> is the right answer.</h3>
6 0
3 years ago
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