Find the unit vector in the direction of (-2, 7).

Answers

Answer 1

Lets name the vector V: (-2,7)

U which is the unit vector is

  [tex]u = \frac{V}{||V||} = \frac{(-2,7)}{\sqrt{(-2)^{2} +(7^2)} } } = \frac{1}{\sqrt{53} } (-2,7) = (\frac{-2}{\sqrt{51} } ,\frac{7}{\sqrt{51} } )[/tex]

Hope that helps!


Related Questions

(2x+9)(6x+6) please help ne solve this in the simplest term

Answers

-

(2x + 9) (6x + 6)

- Apply the distributive property by multiplying each term of 2x + 9 by each term of 6x + 6.

[tex]12x^{2}[/tex] + 12x + 54x + 54

- Combine 12x and 54x to get 66x.

ANSWER :

[tex]12x^{2}[/tex] + 66x + 54

Answer:

See below.

Step-by-step explanation:

(2x+9)(6x+6)

2x(6x) + 2x(6) = 12x² + 12x

9(6x) + 9(6) = 54x + 54

Combine like terms.

12x²+66x+54

-hope it helps

Write the number in expanded notation

Answers

Answer:

6×10+"5×1"+7×1/10+"5×1/100"+"1×1/1,000"

Pls help me I need it urgently but please give right answer

Answers

Answer:

Hello your handwriting is bad I don't understand

If c = 4, evaluate the following expression:
[tex] \sqrt{c} [/tex]

Answers

Answer:

2 is the answer

Step-by-step

factorise :
2x^3-x^2-7x+6

Answers

Answer:

2 (x^3+3)-x(x+7)

Step-by-step explanation:

It can be factorised in a number of ways eg:

x^2(2x-1)-1 (7x-6)

Which of the following properties of equality allows 7(x - 1) to equal 7x - 7?
distributive
division
reflexive
symmetric

Answers

It is the distributive property of inequality

How many of each size print did ella
sell

Answers

Answer:37 paintings of $50 and 15 paintings of $75

Step-by-step explanation:

Let  be the number of paintings Ella sells for $.

Let  be the number of paintings Ella sells for $.

Profit made through $ paintings is

Profit made through $ paintings is

So,total profit is given by

It is given that total profit is $

So,      ..(i)

Given that the total number of prints is

So,      ..(ii)

using (i) and (ii),

The floor of a moving van is 3 feet off of the ground. The ramp into the van makes a 22. 3 angle with the ground. How long is the ramp?


12. 0 feet


7. 3 feet


3. 2 feet


7. 9 feet

Answers

Answer:

  (d)  7.9 ft

Step-by-step explanation:

The geometry of the problem can be represented by a right triangle whose hypotenuse is the ramp, and the side opposite the given angle is 3 feet. Then the relevant trig relation is ...

  Sin = Opposite/Hypotenuse

Solving for Hypotenuse, we find ...

  Hypotenuse = Opposite/Sin

  ramp length = (3 ft)/sin(22.3°) ≈ 7.9 ft

The ramp is about 7.9 feet long.

10. Depression. A study published in the Archives of
a
General Psychiatry in March 2001 examined the
impact of depression on a patient's ability to survive
cardiac disease. Researchers identified 450 people
with cardiac disease, evaluated them for depression,
and followed the group for 4 years. Of the 361
patients with no depression, 67 died. Of the 89
patients with minor or major depression, 26 died.
Among people who suffer from cardiac disease, are
depressed patients more likely to die than
nondepressed ones?
a) What kind of design was used to collect these
data?
b) Write appropriate hypotheses.
c) Are the assumptions and conditions necessary for
inference satisfied?
d) Test the hypothesis and state your conclusion,
e) Explain in this context what your P-value means.
f) If your conclusion is actually incorrect, which type of
error did you commit?

Answers

Among people who suffer from cardiac disease, are depressed patients more likely to die than nondepressed ones?

Yes, they are.

a) The kind of design which was used to collect these data is:

Quantitative Research Design:

b) The appropriate hypotheses is:

People who are depressed are more likely to die from cardiac arrest than people who are not depressed.

c) Are the assumptions and conditions necessary for inference satisfied?

No, it is not. More tests and samples need to be concluded to make sure that it is not a chance occurrence.

d) Test the hypothesis and state your conclusion,

The hypothesis made is consistent with the statistical data but there needs to be more observation and independent variables used.

e) The best explanation of this context based on what your P-value means is:

The measure of probability of the observed difference between the groups of people shows that there is a small chance for the results being as a result of a random chance.

f) If your conclusion is actually incorrect, the type of error which was committed is:

Type II error.

What is a Hypothesis?

This refers to the explanation which is given to a particular phenomena based on the trials and research done of which a conclusion has been made.

Read more about hypothesis here:
https://brainly.com/question/11555274

23. Angle F and G and Hare the angles of a triangle. Angle G is 8 more than twice angle'F.
Angle H is 14 less than 3 times angle F.

Answers

Answer: Your asnwer would be........................... 278

Step-by-step explanation: Angle F stands for numbers alll the letters do so if we were to understand all the coordnation then multiply them together you would get 278. However if this way was too hard  can explane it on YT so come check out my three channels CAMERON the OG Football madnesss X and math nerds sub to all and check out my latest vid on Math nerds that will help you and you can also help me by subscribing

ASAP please i have to submit it now

Answers

Answer:

Point in original: (4, -6)

Point in final: (4, 6)

just drag the point 6 units up

Step-by-step explanation:

Hope this helps!

HELP ME PLEASE 50 POINTS !! I HAVE 4 MIN ITS THE TWO QUESTIONS WITH NO TICK!!

Answers

Answer:8 cartons of milk = 4544 ML

11 cartons  = 6248 ML

Step-by-step explanation:

if 8^{y}=18^{y+2} what is the value of y?

Answers

Answer:

-8

Step-by-step explanation:

both 8^-8 and 16^-8+2 equal 5.9605

[tex][Hello,BrainlyUser][/tex]

Answer:

y = -8

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases.

[tex]2^3^y=2^4^(^y^+^2^)[/tex]

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

[tex]3y=4(y+2)[/tex]

Simplify

[tex]4(y+2).[/tex]

Apply the distributive property.

[tex]3y=4y+4*2[/tex]

Multiply 4 by 2

[tex]3y=4y+8[/tex]

Subtract 4y from both sides of the equation.

[tex]3y-4y=8[/tex]

Subtract 4y from 3y.

[tex]-y=8[/tex]

Multiply each term in −y=8 by −1

[tex]y=-8[/tex]

Hence, Answer is y = -8

[CloudBreeze]

A student states that natural resources could be saved if people made everything they need in labs. What is the main problem with this idea?(1 point)

There are not enough synthetic resources yet to make what people need.

People might think it is fine to waste a lot of the materials since they just came from a lab.

The materials made in labs will still pollute the environment and destroy natural resources.

Anything made in the lab requires natural resources to produce it.

Answers

Answer:

Step-by-step explanation:

Labs still require resources to build and so do work in. The problem with this idea is that labs cost a lot of materials to build. I'm not sure what you mean though.

factorise :
2x^3-x^2-7x+6

Answers

2x^3 - x^2 - 7x + 6
First look at the first two
2x^3 - x^2
What is similar between them

Tlaloc pumped up 56 balls. He pumped up 5 dodge balls for every 9 other balls.

Answers

Answer:

What do you need from this question? Its not asking anything.

Step-by-step explanation:

I WILL MARK BRAINLIEST AND I ONLY HAVE 40 POINTS HELP ME

-5/6 x -2/9

Answers

Answer:

5/27

Step-by-step explanation:

We times/multiply the numerators together and we times/multiply the denominators together:
Numerator:

-5×-2=10 (2 negatives multiplied makes a positive outcome - rules of integers)

Denominator:

6×9=54

10/54 would be our answer but to simplify we can divide top and bottom by 2 to get a simplified fraction

10/54÷2=5/27

This is our final answer

Please solve evevebbebe

Answers

Answer:

D. x ≥ 8

Step-by-step explanation:

Hello!
We can solve this as if it were a regular equation. We can pretend the inequality sign is an equal sign.

Solve:

6x - 15 ≥ 336x ≥ 48           =>add 15 to both sidesx ≥ 48 / 6        => divide both side by 6x ≥ 8

The correct answer is option D. x ≥ 8

What are the vertex and x-intercepts of the graph of y = (x + 4)(x + 2)? Select one answer for the vertex and one for the x-intercepts.

Answers

Answer: Vertex (-3, 1) and x-intercept (-4, 0), (-2, 0)

Answer:

D & F

Step-by-step explanation:

(Explanation in picture(graph))

A rectangle that measures 7 feet by 5 feet.
Determine the perimeter of the rectangle.

__feet

Answers

Answer: 24 feet.

Explanation:
The formula of perimeter of a rectangle is b + b+ H + H= here they gave us 7 and 5 so we just multiply 7 by 2 and multiply 5 by 2 then add the digits together now we get 24

Answer:

24 ft

Step-by-step explanation:

To find the perimeter of a rectangle we use the formula

P = 2(l+w)  where l is the length and w is the width

P = 2 ( 7+5)

   = 2(12)

  = 24 ft

what is the area of this tile?

Answers

The area of the tile is 12 square inches.

How to get the area of a rectangle?

For a rectangle of length L and width W, the area is given by:

A = L*W

In this case, we can see that the width is 2 inches and the length is 6 inches, then the area of this rectangle will be:

A = 6in*2in = 12 in^2

So we can conclude that the area of the tile is 12 square inches.

If you want to learn more about rectangles, you can read:

https://brainly.com/question/17297081

Help solve this math problem thing pleasereeee

Answers

Step-by-step explanation:

We have the equation y = 2x - 5

To complete the table of values substitute each of the x values into the equation

When x = 0

y = 2(0) - 5 which means y =(2 × 0) - 5 = -5

The coordinates you plot are (0,-5)

When x = 1

y = 2(1) - 5 which means y = (2 × 1) - 5 = -3

The coordinates you plot are (1,-3)

When x = 2

y = 2(2) - 5 which means y = (2 × 2) - 5 = -1

The coordinates you plot are (2,-1)

When x = 3

y = 2(3) - 5 which means y = (2 × 3) - 5 = 1

The coordinates you plot are (3,1)

When x = 4

y = 2(4) - 5 which means y = (2 × 4) - 5 = 3

The coordinates you plot are (4,3)

When x = 5

y = 2(5) - 5 which means y = (2 × 5) - 5 = 5

The coordinates you plot are (5,5)

if 3 times an integer is 12 more than the next consecutive odd
integer, what is that integer?

Answers

Answer:

3x5

Step-by-step explanation:

15 is an integer and odd

Solve for x.

−3.6+x4=−16.8

Answers

Answer:

Step-by-step explanation:

-3.6 + 4x = -16.8

4x = -16.8 + 3.6

4x = -13.2

x = -3.3

Hope that helps

A dog is leashed to the corner of a house. How much running area does the dog have? Round your answer to the nearest square foot, if necessary.

Answers

Answer:

300pi square feet

Step-by-step explanation:

the dog can move inside of the 3/4 of a circle

the area of a circle is the radius squared times pi

20*20*pi=400pi

Since the house takes up 1/4 of the circle the dog is left with 3/4

400pi*3/4=300pi

Which of the following is NOT true about parallelograms?

options:

a parallelogram is a rectangle


a parallelogram is a quadrilateral


a parallelogram has no lines of symmetry


a parallelogram has 2 sets of parallel lines

Answers

"a parallelogram is a rectangle" is the correct answer.

Hope this helps :0

Answer:

a parallelogram has no lines of symmetry

Hey CAN SOME ONE PLEASEEE HELPP ME

Answers

Answer:

[tex]y=11*3^x[/tex]

Here is the graph showing this function.

Answer:

[tex]\sf y = 11(3)^x[/tex]

given points: ( 0, 11) , (2,99)

solve for 1st

[tex]\sf y = ab^x[/tex]

[tex]\sf 11 = ab^0[/tex]

since we know [tex]\sf b^0 = 1[/tex]

[tex]\sf 11 =a[/tex]

solve for 2nd

[tex]\sf y = ab^x[/tex]

[tex]\sf 99 = ab^2[/tex]

[tex]\sf \dfrac{99}{b^2} = a[/tex]

solve simultaneously:

[tex]\sf 11 = \sf \dfrac{99}{b^2}[/tex]

[tex]\sf 11 b^2= \sf 99}[/tex]

[tex]\sf b^2= 9[/tex]

[tex]\sf b = 3[/tex]

Therefore equation:  [tex]\sf y = 11(3)^x[/tex]

sam and jennna decide to purchase a tv on black friday. the sale price is $499. if jenna pays $123 more than sam, how much did sam pay?

Answers

Answer:

Sam would pay $188 and jenna would pay $311.

Step-by-step explanation:

A student draws three vertices of a square on the coordinate plane. The three vertices are X ( − 10 , − 1 ) , Y ( − 10 , 5 ) , and Z ( − 4 , − 1 ) . Which coordinate pair could be the fourth vertex of the square?

Answers

The coordinate pair (-4,5) could be the fourth vertex of the square.

Quadrilaterals

There are different types of quadrilaterals, for example: square, rectangle, rhombus and trapezoid.  Each type is defined accordingly to its length of sides and angles. For example, the square has all side equals and angles equal to 90°.

For solving this question, you should plot the given points as shown in attached image. Note that you have only two sides of a square, and you need a point (W) for completing the square.

As you have a square, all sides should have the same dimensions and all angles should equal to 90°. Therefore, the coordinates for the point W should result in equal and parallel sides XY and XZ. For this, from the attached image, you can see that the x-coordinate for the point W should be equal to the x-coordinate for the point Z. And, the y-coordinate for the point W should be equal to the y-coordinate for the point Y.

Thus, coordinate pair (-4,5) would be the fourth vertex of the square.

Read more about the quadrilaterals here:

https://brainly.com/question/12556704

50 POINTS Here are the prices for cheese pizza at a certain pizzeria: small pizza is 11.60 medium is unknown large is 16.26

A. You had a coupon that made the price of a large pizza $13.00. For what percent off was the coupon

B. Your friend purchased a medium pizza for 10.31 with a 30% off coupon. What is the price of a medium pizza without a coupon

C. Your friend has a 15% off coupon and $10. What is the largest pizza that your friend can afford, and how much money will be left over after the purchase.

Answers

Answer:

ITS AAAAAAA

Step-by-step explanation:

TRUST ME

A. 20%
B. $14.73
C. Small pizza. $0.14 will be left over.
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