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3 years ago

What is the product of 3y^-4 times 2y^-4?

Mathematics

1 answer:

likoan [24]3 years ago

3 0

Answer:

Product of 3y^-4 and 2y^-4 is 6y^-8

Step-by-step explanation:

Given,

3y^-4 and 2y^-4

Product of 3y^-4 and 2y^-4

i.e 3y^-4 * 2y^-4

or 3*2*y^(-4-4)

or 6y^-8

Hence we get product of 3y^-4 and 2y^-4 is 6y^-8

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In the adjoining figure, XY = XZ . YQ and ZP are the bisectors of <img src="https://tex.z-dn.net/?f=%20%5Cangle" id="TexFormula1

svetlana [45]

Answer:

See Below.

Step-by-step explanation:

Statements: Reasons:

$1)\, XY=XZ$ Given

$2) \text{ $ m\angle Y= m\angle Z$}$ Isosceles Triangle Theorem

$\displaystyle 3) \text{ $m\angle Y=m\angle XYQ + \angle QYZ$}$ Angle Addition

$\displaystyle 4)\text{ $YQ$ bisects $\angle XYZ$}$ Given

$5) \text{ $m\angle XYQ=m\angle QYZ$}$ Definition of Bisector

$\displaystyle 6)\text{ $m\angle Y=2m\angle QYZ$}$ Substitution

$7)\text{ $m\angle Z=m\angle XZP+m\angle PZY$}$ Angle Addition

$8)\text{ $ZP$ bisects $\angle XZY$}$ Given

$\displaystyle 9) \text{ $m\angle XZP=m\angle PZY$ }$ Definition of Bisector

$\displaystyle 10) \text{ $ m\angle Z = 2m\angle PZY $}$ Substitution

$11)\text{ } 2m\angle QYZ=2m\angle PZY$ Substitution

$12)\text{ }m\angle QYZ=m\angle PZY$ Division Property of Equality

$13)\text{ } YZ=YZ$ Reflexive Property

$14)\text{ } \Delta YZP\cong\Delta ZYQ$ Angle-Side-Angle Congruence*

$15)\text{ } YQ=ZP$ CPCTC

*For clarification:

∠Y = ∠Z

YZ = YZ (or ZY)

∠PZY = ∠QYZ

So, Angle-Side-Angle Congruence:

ΔYZP is congruent to ΔZYQ

5 0

3 years ago

Read 2 more answers

The scatter plot below shows the relationship between the diameter (x), in mm, and mass f(x), in grams, of a berry: ordered pair

ivann1987 [24]

For this case the first thing we must observe is that the mass increases 0.4 grams when the diameter increases 1 millimeter.
Therefore, the slope of the line is given by:
m = 0.4
Thus, the function that best suits the table is given by:
f (x) = -4 + 0.4x
For example, for x = 20 we have:
f (20) = -4 + 0.4 (20)
f (20) = -4 + 8
f (20) = 4
The result, matches the table.
Answer:
The function that is best represented by the scatter plot is:
f (x) = -4 + 0.4x

6 0

3 years ago

Read 2 more answers

Determine the number of possible triangles, ABC, that can be formed given C = 85°, a = 10, and c = 13.

MrMuchimi

1 it’s one because I got the ensure from a friend

7 0

3 years ago

Rek has a rope 135 feet long. He cuts it into 3 pieces. The 2nd piece is twice as long as the 1st piece. The 3rd piece is 3 time

AnnyKZ [126]

(2*3*1)=6

135/6=22.5

1st = 22.5 ft

2nd= 45 ft

3rd = 67.5 ft

add it up and you get 135 feet

3 0

3 years ago

Which relation is a function

Marina CMI [18]

Answer:

Step-by-step explanation:

A function is a relation in which every input or value in the domain is paired with exactly one output or value in range.

Draw vertical to check if there is one output for one input.

Hope it is useful...

6 0

2 years ago