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3 years ago

Is one side of a rectangular fish tank best represented by a point, line, plane, or ray?

2 answers:

6 0

One side of a rectangular fish tank can be best represented by a plane because it is two dimensional.Whereas,point,line or a ray are all one dimensional and hence they cannot represent a rectangle as it has two dimensions.

Novay_Z [31]3 years ago

3 0

It is a plain I happen to be a mathematics professor at Yale university.

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The endpoints of a side of rectangle ABCD in the coordinate plane are at A (3,9) and

Montano1993 [528]

Answer:

y = - 4x + 38

Step-by-step explanation:

A(3, 9)

B(5, 1)

$m_{AB}$ = $\frac{1-9}{5-3}$ = - 4

CD║AB

C(9, 2)

y - 2 = - 4(x - 9)

y = - 4x + 38

5 0

3 years ago

I need these 2 questions answered fast please.

shtirl [24]

Answer:

75 ft / none of these (43)

Step-by-step explanation:

formula: (area =1/2bh)

so you take base × height and then take half of that number (divide by 2)

5 0

3 years ago

What is the distance from point b to c? What do you call this distance?

choli [55]

Answer:

im guessing 80 i only saw this bc its going long ways and it says on the paper that its 80m long

Step-by-step explanation:

8 0

3 years ago

What is an exponent

ValentinkaMS [17]

It refers to the number of times a number is being multiplied by itself ... Ex: two to the fourth power
4 would be the exponent

6 0

3 years ago

Solving Rational Functions Hello I'm posting again because I really need help on this any help is appreciated!!

Greeley [361]

Answer:

x = √17 and x = -√17

Step-by-step explanation:

We have the equation:

$\frac{3}{x + 4} - \frac{1}{x + 3} = \frac{x + 9}{(x^2 + 7x + 12)}$

To solve this we need to remove the denominators.

Then we can first multiply both sides by (x + 4) to get:

$\frac{3*(x + 4)}{x + 4} - \frac{(x + 4)}{x + 3} = \frac{(x + 9)*(x + 4)}{(x^2 + 7x + 12)}$

$3 - \frac{(x + 4)}{x + 3} = \frac{(x + 9)*(x + 4)}{(x^2 + 7x + 12)}$

Now we can multiply both sides by (x + 3)

$3*(x + 3) - \frac{(x + 4)*(x+3)}{x + 3} = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

$3*(x + 3) - (x + 4) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

$(2*x + 5) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}$

Now we can multiply both sides by (x^2 + 7*x + 12)

$(2*x + 5)*(x^2 + 7x + 12) = \frac{(x + 9)*(x + 4)*(x+3)}{(x^2 + 7x + 12)}*(x^2 + 7x + 12)$

$(2*x + 5)*(x^2 + 7x + 12) = (x + 9)*(x + 4)*(x+3)$

Now we need to solve this:

we will get

$2*x^3 + 19*x^2 + 59*x + 60 = (x^2 + 13*x + 3)*(x + 3)$

$2*x^3 + 19*x^2 + 59*x + 60 = x^3 + 16*x^2 + 42*x + 9$

Then we get:

$2*x^3 + 19*x^2 + 59*x + 60 - ( x^3 + 16*x^2 + 42*x + 9) = 0$

$x^3 + 3x^2 + 17*x + 51 = 0$

So now we only need to solve this.

We can see that the constant is 51.

Then one root will be a factor of 51.

The factors of -51 are:

-3 and -17

Let's try -3

p( -3) = (-3)^3 + 3*(-3)^2 + +17*(-3) + 51 = 0

Then x = -3 is one solution of the equation.

But if we look at the original equation, x = -3 will lead to a zero in one denominator, then this solution can be ignored.

This means that we can take a factor (x + 3) out, so we can rewrite our equation as:

$x^3 + 3x^2 + 17*x + 51 = (x + 3)*(x^2 + 17) = 0$

The other two solutions are when the other term is equal to zero.

Then the other two solutions are given by:

x = ±√17

And neither of these have problems in the denominators, so we can conclude that the solutions are:

x = √17 and x = -√17

6 0

3 years ago