Let a = ⟨5, –9⟩ and b = ⟨–3, 1⟩, and c = b – a. What is the magnitude and direction angle of c?
|c| = 12.8; θ = 128.7°
|c| = 18.0; θ = 128.7°
|c| = 12.8; θ = 308.7°
|c| = 18.0; θ = 308.7°
Answers
Answer:
A
Step-by-step explanation:
The magnitude and direction angle of c is 12.8 and 128.7° respectively.
What is the magnitude and direction of a point vector?"A vector contains two types of information: a magnitude and a direction. The magnitude is the length of the vector while the direction tells us which way the vector points.
Vector direction can be given in various forms, but is most commonly denoted in degrees. Acceleration and velocity are examples of vectors."
Given: a = (5, –9) and b = (–3, 1) and c = b – a.
Therefore, c = (5+3, -9-1) = (8, -10)
Now, magnitude of c is [tex]\sqrt{8^{2}+(-10)^{2}}[/tex] = 12.8
The direction of c is Ф = tan⁻¹(-10/8) = -51.3°
Therefore, the direction of c is 180° - 51.3° = 128.7° (tanФ = tan(π+Ф))
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Step-by-step explanation:
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Step-by-step explanation:
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GameStop is selling video games for $32 each. Used video games sell for $12 each. David is buying 3 new video games and x used video games. Which equation can be used to find y, the total price David must pay in dollars?
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
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Step 1: Define systems
y = x + 1
y = 1/2x + 3
Step 2: Solve for x
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Answers
Given:
A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20.
To find:
The correct statement for the box plot.
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
The formula for the volume of a tetrahedron is given as :
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Step-by-step explanation:
thousandths
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Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
Given any two points, you can find the slope of the line between them using the equation
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#1:
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Answers
4x - 5
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Answer:
3
Step-by-step explanation:
Parentheses Exponents Multiplication Division Addition Subtraction
x=2 4(2-3)+7
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E:
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D:
A: -4+7= 3
S:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
a) 4 cm, 5 cm, 7 cm
Step-by-step explanation:
The statement "In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides." is only true for triangle rectangles.
To find a counter example, we can try with the options and see which one works as a counterexample:
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So we already found the counter example, because:
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The only set of side lengths that proves that the statement "In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides." is false is;
Option A; 4 cm, 5 cm, 7 cm
To answer this question, let us look at each option;
Option A; 4 cm, 5 cm, 7 cm
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Read more at; https://brainly.com/question/16175002
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Answers
Answer:
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Step-by-step explanation:
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The equation in point-slope form for the line through the given point with the given slope is: [tex]y+3 = -\frac{1}{4}(x-3)[/tex]
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Answers
Answer:
Step-by-step explanation:
Just add 19 and 11 and you will get your answer!
HOPE THIS HELPS!
Answer:
da answer is 30
Step-by-step explanation:
Help me please I need help
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[tex]l = R \times \alpha [/tex]
[tex]l = length \: \: of \: \: the \: \: arc[/tex]
[tex]R = radius = 13 \: \: km[/tex]
[tex] \alpha = mersure \: \: of \: \: the \: \: centeral \: \: angle \: \: between \: \: two \: \: radiuses \\ [/tex]
Hint :
[tex] \alpha \: \: must \: \: be \: \: in \: \: radian[/tex]
Thus ;
[tex] \alpha = 45° = \frac{\pi}{4} \\ [/tex]
_________________________________
[tex]l = 13 \times \frac{\pi}{4} \\ [/tex]
[tex]l = \frac{13}{4} \pi \: \: km \\ [/tex]
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What is the domain and range please?
Answers
Answer:
domain is all the values that go into a function, and the range is all the values that come out.
Answer:
Domain: -6 <= x <= 3 and Range -9 <= y <= 5
Step-by-step explanation:
Domain is x
Range is y
(x, y)
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1/4 +0.25
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Answers
Answer:
0.5
Step-by-step explanation:
1/4+0.25
0.25+0.25
=0.5
So 0.5 is the answer
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Step-by-step explanation:
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