<h3>
Answer: (-7, 4)</h3>
Other solutions are possible.
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Explanation:
The dashed line is . We shade above this dashed line to draw the region for . This region is shown in green and also the gray region as well.
The purple and gray region is which consists of the solid boundary line and stuff below it.
When considering both inequalities at the same time, we shade above the dashed line and below the solid line to get the gray region only.
This gray region is the solution set of the system of inequalities. Pick any point from this region to get the final answer.
One such point is (-7, 4). There are infinitely many other possible answers.
To verify that point, plug in the coordinates into each inequality. When simplifying, you should get a true statement.
6(-3-4y)
-18-24y
(Multiply 6 by both numbers)
If you have a large bowl of salad (which is a whole 1) and your brother eats 1/3 of it before your friends come over, then you have:
1 - 1/3 = 2/3 of salad left
We don't know how many friends will come, so let's assume it's x of them who will visit you. In such case we have to divide 2/3 by x friends:
2/3 ÷ x =
= 2/3 * 1/x =
= 2/3x
Answer: Each friend will get 2/3x of the salad.
Answer:
The correct answer is option C: (8, 14).
Step-by-step explanation:
The car's displacement in vector form can be found by subtracting the initial points from the final points.
Initial: (x₁, y₁) = (-3, -5)
Final: (x₂, y₂) = (5, 9)
For the x-coordinate, we have:
And for the y-coordinate, we have:
The car's displacement in vector form is:
Therefore, the correct answer is option C: (8, 14).
I hope it helps you!
Both by Pythagorean theorem and dot product approaches, we find that the magnitude of the vector <u>u</u> = <4, 7> is equal to √65.
<h3>What is the magnitude of a vector?</h3>
Vectors are characterized by two elements: Magnitude and direction, the magnitude is a scalar that represents the <em>"length"</em> of the vector, while the direction indicate the <em>"orientation"</em> of the vector. There are two methods to find the magnitude of the vector u:
Method 1 - Pythagorean theorem
<u>u</u> = <4, 7>
u = √(4² + 7²)
u = √65
Method 2 - Dot product
<u>u</u> = <4, 7>
u = √(u • u)
u = √[(4, 7) • (4, 7)]
u = √(4² + 7²)
u = √65
Both by Pythagorean theorem and dot product approaches, we find that the magnitude of the vector <u>u</u> = <4, 7> is equal to √65.
To learn more on vectors: brainly.com/question/13322477
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