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ipn [44]
3 years ago
5

Find the degree of the polynomial: −3x^3y^3+2.5xz^2−5xz^2

Mathematics
1 answer:
Lilit [14]3 years ago
5 0

Answer:

Degree is 6

Step-by-step explanation:

Solving given polynomial gives -3x^3y^3-2.5xz^2

as this polynomial involves two variables so we'll add the powers on variables in each term

first term: -3x^3y^3, add powers on x and y variables which turns out to be 6

Second term: 2.5xz^2, adding powers on x and z variable results in 3

As degree is the highest power among different powers on terms so here the degree is 6

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Pam typed 2.5 pages in 15 minutes. At that rate, how many minutes will it take her to type 23 pages?
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In the given question, it is already mentioned that Pam takes 15 minutes to type 2.5 pages. this information should be used as the main information for reaching the desired answer.
Pam typed 2.5 pages in = 15 minutes
Then time taken by Pam to type 23 pages = (15/2.5) * 23
                                                                     = 345/2.5
                                                                     = 3450/25
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If Z is the centroid of ∆LMN,WZ=4,ZN=14, and ZY = 10, find each missing measure
jeyben [28]

Answer:

ZM = 8

WM = 12

XZ = 7

XN = 21

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Step-by-step explanation:

The centroid of a triangle is the point of intersection of the midpoint of the each of the three sides of a triangle. The centroid of a triangle is located inside the triangle and it is known as the center of gravity.

The centroid theorem for a triangle states that the centroid of a triangle is located at 2/3 of the distance from the vertex of the triangle of the middle of the opposite side.

ZM = (2/3)WM (centroid theorem)

Therefore: WZ = (1/3)WM

WM = 3WZ = 3 * 4 = 12

ZM = (2/3) * WM = 2/3 * 12 = 8

ZN = (2/3)XN (centroid theorem)

XN = (3/2)ZN = 3/2 * 14 = 21

XN = 21

XZ + ZN = XN

XZ + 14 = 21

XZ = 7

LZ = (2/3)LY (centroid theorem)

Therefore: ZY = (1/3)LY

LY = 3ZY = 3 * 10 = 30

LZ = (2/3) * LY = 2/3 * 30 = 20

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3 years ago
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