2 years ago

Which triangle would be most helpful in finding the distance between the points (-4, 3) and (1,-2) on the coordinate

Mathematics

1 answer:

Bess [88]2 years ago

7 0

Step-by-step explanation:

1. the required distance can be calculated:

$d=\sqrt{5^2+5^2}=5\sqrt{2}.$

2. the most helpful triangle is in option 'C' (see the attachment).

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Find an equation of the sphere that passes through the point (7, 1, −3) and has center (5, 6, 5).

xz_007 [3.2K]

Answer:

The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is $(x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93$ .

Step-by-step explanation:

Any sphere centered at $(h,k,s)$ in an Euclidean space with a radius $r$ is represented by the following formula:

$(x-h)^{2} +(y-k)^{2}+(z-s)^{2} =r^{2}$

If $(x,y,z) = (7,1,-3)$ and $(h,k, s) = (5,6,5)$ , the radius of the sphere is obtained:

$(7-5)^{2}+(1-6)^{2}+(-3-5)^{2} = r^{2}$

$r^{2} = 93$

$r = \sqrt{93}$

The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is $(x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93$ .

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It’s A because it’s not that hard

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What kind of graph is this ? A. Positive B. Negative C. Undefined D. Zero

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Cross multiply 3x-5 with 4 and 4x + 1 with 2
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