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Aleksandr-060686 [28]
3 years ago
13

Find the magnitude and direction of the vector <3,9>

Mathematics
2 answers:
ser-zykov [4K]3 years ago
8 0

Answer:

Step-by-step explanation:

Yuliya22 [10]3 years ago
6 0

Answer:

9.49 units at an angle of 71.6° with the horizontal

Step-by-step explanation:

Magnitude: [x^2 + y^2]^(1/2)

(3^2 + 9^2)^(1/2)

(90)^(1/2) = 3root(10) = 9.49

Direction:

Angle with the horizontal: tan inverse (y/x)

tan inverse of (9/3)

tan inverse of 3 = 71.6°

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NEED HELP MY Son needs it 4⅔ x13
Lana71 [14]

Answer:

182/3

60.67

hope it's helpful ❤❤❤❤

THANK YOU.

#

❤

4 0
2 years ago
Read 2 more answers
Solve each quadratic equation. Show your work. 14. (2x – 1)(x + 7) = 0 15. x2 + 3x = 10 16. 4x2 = 100
andreyandreev [35.5K]
14.  (2x - 1)(x + 7) = 0

Using the zero factor property, we know that either the first or second terms (or both) must be equal to 0 if their product is 0.  We can set each term equal to 0 to find the solutions:

2x - 1 = 0
2x = 1
x = 1/2

x + 7 = 0
x = -7

15.  x^{2} +3x=10

To solve this equation, you first need to set it equal to 0:

x^{2} +3x=10 \\ x^{2} +3x-10 = 0

Next, it can be factored:

x^{2} +3x-10 = 0 \\ (x+5)(x-2)=0

Finally, we can solve just like we did above:

x + 5 = 0
x = -5

x - 2 = 0
x = 2

16.  4x^2=100

First, you can simplify by dividing each side by 4:

4x^2=100 \\ x^2=25

Now, set the equation equal to 0:

x^2=25 \\ x^2-25=0

Next, factor:

x^2-25=0 \\ (x+5)(x-5)=0

Finally, find the solutions:

x + 5 = 0
x = -5

x - 5 = 0
x = 5
6 0
3 years ago
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
shepuryov [24]

Answer:

pretty sure it's B

Step-by-step explanation:

domain is x numbers and that has all the x numbers in it

4 0
3 years ago
Read 2 more answers
36.00x0.07 show explanation
makkiz [27]

Answer: 2.52

Step-by-step explanation: 36.00x0.07

36.00 is the same as 36

so, 36x0.07=2.52

5 0
2 years ago
Consider the following equations: f(x) = 2x – 2 and g(x) = 5 - x
zysi [14]

Answer:

The difference in slopes of f(x)\ and\ g(x) is = 3

We can say slope of f(x) is positive  and 3 more than slope of g(x) while slope of g(x)  is negative.

Difference of y-intercepts of f(x)\ and\ g(x) is = -7

We can say the y-intercept of g(x) is positive and 7 units above f(x) while y-intercept of f(x)  is negative.

Step-by-step explanation:

Given equation:

f(x) =2x - 2

g(x) =5-x

We need to find the difference of slopes and y-intercepts of the given equations.

The standard form of a slope intercept equation of line is given by:

y=mx+b

where m represents slope and b represents y-intercept of line.

Writing the given equations in standard form to find slope and y-intercept.

f(x) =2x +(-2)

Slope = 2 and y-intercept =-2

g(x) =(-1)x+5

Slope = -1 and y-intercept =5

The difference in slopes of f(x)\ and\ g(x) is = 2-(-1)=2+1=3

We can say slope of f(x) is positive  and 3 more than slope of g(x) while slope of g(x)  is negative.

Difference of y-intercepts of f(x)\ and\ g(x) is = -2-5=-7

We can say the y-intercept of g(x) is positive and 7 units above f(x) while y-intercept of f(x)  is negative.

5 0
2 years ago
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