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WITCHER [35]
3 years ago
7

Q7 Q7.) Find the unit vector in the same direction as v.

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
7 0
Use Pythagorean theorem:

9i-j = sqrt (9^2 - 1^2) = sqrt(81-1) = sqrt80

now divide both terms in V by that:

u = 9/sqrt(80)i - 1/sqrt(80)j

see attached picture: 

Tju [1.3M]3 years ago
6 0
|v| = sqrt(9^2+(-1)^2)=sqrt(82)

u = v/|v| = 9/sqrt(82) i - 1/sqrt(82) j

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Aubrey can run at a pace of six miles per hour. running at the same rate how many miles can she run in ninety minutes
Eddi Din [679]

Aubrey would be able to run 9 miles in ninety minutes.

90 minutes=1.5 hours

6*1.5=9

Hope this helps

7 0
3 years ago
The graph of the quadratic function y=-x^2-2x+3 is shown below
Karolina [17]

Answer:

The axis of symmetry is at x=-1

The graph has an x-intercept at (1,0)

The graph has a vertex at (-1,4)

Step-by-step explanation:

we have

y=-x^{2}-2x+3

Statements

case 1) The graph has root at 3 and 1

The statement is False

Because, the roots of the quadratic equation are the values of x when the value of y is equal to zero (x-intercepts)

Observing the graph, the roots are at -3 and 1

case 2) The axis of symmetry is at x=-1

The statement is True

Observing the graph, the vertex is the point (-1,4)

The axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex

so

the equation of the axis of symmetry is x=-1

case 3) The graph has an x-intercept at (1,0)

The statement is True

see procedure case 1)

case 4)  The graph has an y-intercept at (-3,0)

The statement is False

Because, the y-intercept is the value of y when the value of x is equal to zero

Observing the graph, the y-intercept is the point (0,3)

case 5) The graph has a relative minimum at (-1,4)

The statement is False

Because, is a vertical parabola open downward, therefore the vertex is a maximum

The point (-1,4) represent the vertex of the parabola, so is a maximum

case 6) The graph has a vertex at (-1,4)

The statement is True

see the procedure case 5)

see the attached figure to better understand the problem

6 0
3 years ago
Read 2 more answers
A student said thst the distance between (-5,7) and (3,7) is 2 units<br>is the student correct?
Usimov [2.4K]

No.


The distance is |-5 -3| = 8 units. (Y-coordinates are the same, so the distance is measured entirely in the x-direction. Distance is non-negative.)

3 0
3 years ago
Please please help :(
Vinvika [58]
-6 7/8 /(-3 3/4)
55/8X4/15
11/6
1 5/6
6 0
3 years ago
Kenzie has. 4 pages of homework to do. If she can finish 1/3 of a page in one hour how many hours will her homework take?
Maru [420]

Answer:

It will take her 4 1/3 hours

Step-by-step explanation: so you know you needed to  add 4 and 1/3 and you turn the 4 into 4/1 and 1/3 and since it adding you have to have the same denominator and you multiply 1x3 and if you do it on the bottom you have to do it on top so you also do 4x3 and 4x3 is 12 and one 1x3 is 3 and so you don't have to have to do it on the other fraction because now they have the same denominator now and now you add 12/3 + 1/3 and you shall get 13/3 and then you divide 13 divided by 3 and you shall get 4 1/3 and that shall be your answer.

hope it helps you!

5 0
3 years ago
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