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3 years ago

Find another way to name the plane M shown in the figure

Mathematics

2 answers:

ivolga24 [154]3 years ago

6 0

Answer:

Plane RTS

Step-by-step explanation:

goldfiish [28.3K]3 years ago

3 0

Answer: Choice D) Plane PQY

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Explanation:

By definition, a plane is formed by 3 non-collinear points. The three points cannot all be on the same line. If you had 3 points on the same line, then infinitely many planes are possible. Imagine the plane spins around the line as a sort of fan blade.

Choice A can be ruled out because points R, T, and S are all on the same line. They are collinear points. Using these three points is not enough to properly identity/label this plane, since infinitely many other planes could result.

Choices B and C can also be ruled out for similar reasons.

Choice D is correct because points P, Q, and Y are all in plane M, and also because they are not all on the same line.

Side note: another way to phrase "a plane is formed by 3 non-collinear points" is to say "a plane is formed by 3 points that form a triangle".

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The rate of change of the distance from the particle to the origin at this instant is 3 units per second.

<h3>What is the rate of change?</h3>

The instantaneous rate of change is the rate of change at a particular instant.

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The rate of change of y is given as:

dy / dx = 2

by differentiating both sides,

$\dfrac{dy}{dx} = 4\dfrac{1}{2\sqrt{5x+11} } 5\dfrac{dx}{dt} \\\\\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\$

From the question, we have:

(x, y) = (5,24)

Substitute 5 for x and dy / dx = 2

$\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\\\5= \dfrac{10}{\sqrt{5(5)+11} }\dfrac{dx}{dt}\\\\\\\sqrt{5(5)+11} = 2\dfrac{dx}{dt}\\\\\\\dfrac{dx}{dt} = 6/ 2 = 3$

Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.

Read more about rates of change at:

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2 years ago

"1.Provide the reasons for the proof.

adelina 88 [10]

Assuming you are given a picture of intersecting lines.

Switch the reasons for b) and c)
b) the angles form a linear pair , from the picture, so this is linear pair postulate
C) Then the measures add to 180, because they are supplementary. Defn of supplementary.
E) you have divided both sides of the equation by 2; or multiplied by 1/2; multiplication property of equality
F) definition of right angle
G) definition of perpendicular

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!

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3 years ago

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Natali [406]

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(128 - 141) / 7 = -1.86

Now, use a standard normal distribution table to determine the percent below a z-score of -1.86. That value is 0.0314 or 3.14%.

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3 years ago

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Answer:

Step-by-step explanation:

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NikAS [45]

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2 years ago