9514 1404 393
Answer:
Step-by-step explanation:
The desired sum is ...
3u +2v = 3(3i +5j) +2(6i -2j) = (3·3 +2·6)i +(3·5+2(-2))j = 21i +11j
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The dot product is the sum of products of corresponding component values.
u·v = (3)(6) +(5)(-2) = 18 -10 = 8
Answer:
Yes, point B will lie inside the circle.
Step-by-step explanation:
Let the distance between point C and point A be the radius of our given circle.
We have been given that a circle with center C(4, -2) passes through the point A(1, 3).
Since we know that a point will lie inside circle if the distance between the point and center of circle is less than radius of circle.
Let us find distance between points C and A using distance formula.
Radius of our circle is . Now let us find distance between center of our circle and point B.
We can see that distance of point B from center of our given circle is less than distance between point A and center of circle, therefore point B will lie inside the circle.
The correct answer is 4 and 1/9
Answer:
x=2
Step-by-step explanation:
2x2 =4
4+4=8
8<10