MATHEMATICS HIGH SCHOOL

If a vector pointing upward has a positive magnitude, a vector pointing downward has a negative magnitude. True or false?

Answers

Answer 1

Answer:

Answer:

The statement is false.

Step-by-step explanation:

For any vector 'r' we have

$\overrightarrow{r}=x\widehat{i}+y\widehat{j}+z\widehat{k}$

The magnitude is given by

$|r|=\sqrt{x^(2)+y^(2)+z^(2)}..........(i)$

As we know that the upon squaring a term the result is always positive thus the term in right side of equation i is always positive no matter weather the terms (x,y,z) are positive or negative hence we conclude that magnitude of any vectorial quantity is always positive irrespective of it's direction.

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They Supreme Court chooses to hear cases that (blank)

Answers

Answer:

involve the constitution

Step-by-step explanation:

Select all of the following points that lie on the graph of f(x) = 7 - 3x.(-2, 1)
(-1, 10)
(0, 7)
(1, 5)
(2, 1)

Answers

We know that

if the point belongs to the graph, then it must satisfy the given function.

We proceed to verify each of the points

we have

$f(x) = 7 - 3x$

case a) $(-2, 1)$

$x=-2\ny=1$

Substitute the value of x in the given function and compare the value of f(x) with the value of the coordinate y of the point

$f(x) = 7 - 3*(-2)$

$f(x) = 13$

$13\neq 1$ --------> the point not lie on the graph

case b) $(-1, 10)$

$x=-1\ny=10$

Substitute the value of x in the given function and compare the value of f(x) with the value of the coordinate y of the point

$f(x) = 7 - 3*(-1)$

$f(x) = 10$

$10=10$ --------> the point lie on the graph

case c) $(0, 7)$

$x=0\ny=7$

Substitute the value of x in the given function and compare the value of f(x) with the value of the coordinate y of the point

$f(x) = 7 - 3*(0)$

$f(x) = 7$

$7=7$ --------> the point lie on the graph

case d) $(1, 5)$

$x=1\ny=5$

Substitute the value of x in the given function and compare the value of f(x) with the value of the coordinate y of the point

$f(x) = 7 - 3*(1)$

$f(x) = 4$

$4\neq 5$ --------> the point not lie on the graph

case e) $(2, 1)$

$x=2\ny=1$

Substitute the value of x in the given function and compare the value of f(x) with the value of the coordinate y of the point

$f(x) = 7 - 3*(2)$

$f(x) = 1$

$1=1$ --------> the point lie on the graph

therefore

the answer is

Points that lie on the graph are

$(-1, 10)$

$(0, 7)$

$(2, 1)$

see the attached figure to better understand the problem

Answer:

So the person above me got it right (I think) but im small brain and dont wanna read all that so for all the ppl like me the answer is

(-1, 10)

(0, 7)

(2, 1).

Your welcome fellow lazy ppls :3

Translate words to mathematical expressions : 3 times a number

Answers

Answer:

3x the answer with 3x

Is this a function? Can you show your work on how you got the answer plz?

Answers

Answer:

yes it is a function because the x does not repeat itself

Step-by-step explanation:

What is the converse of the statement below??
x>Y

Answers

Converse means switching the hypothesis and conclusion of a conditional statement. The converse of x > y, is y > x. Therefore, the answer to your question is y > x, switching the hypothesis and conclusion of the statement.

The function g(x) = x2 - 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis?(-6,0) and (4,0)
(-2, 0) and (-12, 0)
(4.0) and (6.0)
(12, 0) and (2.0)