The point with the greatest distance to the origin is given by:
B. (-3, 3).
<h3>What is the distance between two points?</h3>
Suppose that we have two points, 
and 
. The distance between them is given by:
The origin is given by point (0,0), hence the distance of a point (x,y) to the origin is given by:
D = sqrt(x² + y²).
Hence the distances for each point given in the problem are:
- A. Distance = sqrt((-4)² + (-1)²) = sqrt(17).
- B. Distance = sqrt((-3)² + (3)²) = sqrt(18).
- C. Distance = sqrt((4)² + 0²) = sqrt(16).
- D. Distance = sqrt((2)² + 3²) = sqrt(13).
Hence option B has the greatest distance.
More can be learned about the distance between two points at brainly.com/question/18345417
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Answer:
Cot(theta) = - 0.75 or -3/4
Step-by-step explanation:
The hypotenuse is 5
The y value is 4
We need to find the corresponding x value.
x^2 + y^2 = z^2
X = ?
y = 4
z = 5
x^2 + 4^2 = 5^2
x^2 + 16 = 25
x^2 = 9
Now in this case, you are in quadrant 2, so the x value is - 3
sqrt(x^2) = sqrt(9)
x = - 3
The cot value is the adjacent (x value) / the opposite ( y ) value
Cot(theta) = -3/4
cot(theta) = -0.75
4y(3y + 9)
12y + 36
36 ÷ 12=x=3
Answer:
The square root of 120 is 10.9545.
The square root of 30 is 5.47723.
10.9545 divided by 5.47723 is approximately 2.0000073
Since you have to multiple. L×W×H....
The first one has a volume of 400 and the second has a volume of 400...so both prisms have an equal volume but have a differnet shape
