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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Step-by-step explanation:
- y=3/4x+(-5)
- -4x+4(3/4x+-5)=-20
-4x+3x-20=-20
-x=-20+20
-x=0
x=0
y=3/4×{0}-5
y=-5
Answer: 56 large cars and 86 small cars.
Step-by-step explanation:
Let's call:
: the number of large cars.
: the number of small cars.
Then, you can set up the following system of equations:

You can use the Elimination Method:
- Multiply the first equation by -4.0
- Add both equations.
- Solve for l.

≈
Substitute
into one of the original equations and solve for <em>s:</em>
<em> </em>
The answer would be b.100 because its clearly not a right triangle