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3 years ago

Is it possible for two planes to intersect in exactly one point

Mathematics

1 answer:

Strike441 [17]3 years ago

8 0

Two planes intersect at a line. Not a point.

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I need help on a and b

const2013 [10]

Uploaded some diagrams

7 0

2 years ago

What are the ordered pairs of the

9966 [12]

Start by writing the system down, I will use $y$ to represent $f(x)$

$y=x^2-5x+3\wedge y=-3$

Substitute the fact that $y=-3$ into the first equation to get,

$-3=x^2-5x+3$

Simplify into a quadratic form ( $ax^2+bx+c=0$ ),

$x^2-5x+6=0$

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

$x^2+x(m+n)+mn=0$

which then must factor into

$(x+m)(x+n)=0$

And the solutions will be $m,n$ .

Clearly for small coefficients like ours $5,6$ , this is very easy to figure out. To get 5 and 6 we simply say that $m=3, n=2$ .

This fits the definition as $5=3+2$ and $6=2\cdot3$ .

So as mentioned, solutions will equal to $m=3, n=2$ but these are just x-values in the solution pairs of a form $(x,y)$ .

To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.

So the solution pairs are $(2,0)$ and $(3,0)$ .

Hope this helps :)

5 0

2 years ago

What times 8 equals 64

Vsevolod [243]

8 times 8 is 64.

The square root of 64 is 8.

7 0

2 years ago

Read 2 more answers

Prove that the value of the expression does not depend on the variable x:

Leviafan [203]

Answer:

See below

Step-by-step explanation:

If an expression is not dependent on x, it simplified form must not contain x. To show that this is the case for (a) and (b) we need to simplify them and assess:

(a)

$(x-5)(x+8)-(x+4)(x-1)=\\=x^2-5x+8x-40-x^2-4x+x+4=-36$

Indeed, does not depend on x!

And (b)

$x^4-(x^2-1)(x^2+1)=x^4-x^4+x^2-x^2+1=1$

Again, does not depend on x.

8 0

3 years ago

Determine whether the value given below is from a discrete or continuous data set. The volume of cola in a can is 11.5 oz. Nothi

AnnyKZ [126]

Volume will represent a continuous data set.

Why? <em>because you can have any measurement (1 oz, 0.1 oz, 0.001 oz, etc)</em>

A discrete data set is when you cannot have a "part" of the whole. An example would be if the data set is the number of people ... you can't have 1/2 of a person. Another example would be a product (tv, laptop, etc) ... you can't have a part of the product. you either have 1 or 2 or 3, etc.

Answer: Continuous

6 0

3 years ago

Read 2 more answers