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3 years ago

What's the range of the function shown below ? Thanks

Mathematics

1 answer:

Artemon [7]3 years ago

5 0

Y>0 because raising a number to a negative power doesn't make it negative

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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

[x÷(y–1)](−4)–[xy+(−3)]÷(−1) if x=−5, y=−2

IrinaK [193]

The result is 1/3.

_____
The first attempt in the attached picture has parentheses in the wrong place for the second term. This simplifies to
.. (-5/-3)*(-4) +(10 -3)
.. = -20/3 +7
.. = -(6 2/3) +7
.. = 1/3

5 0

3 years ago

Eight more than seven times a number is equal to four more than five times the number. What is the number?

Alex17521 [72]

Answer: -2

Step-by-step explanation:

convert it to a equation:

7x+8=5x+4

move x's to a side and numbers to the other

2x=-4

divide by 2

x=-2

8 0

2 years ago

Read 2 more answers

Halp halp halp halp help me

Sladkaya [172]

Answer:

72 cubic units

Step-by-step explanation:

V=lwh

l=6

w=4

h=3

6*4*3 = 72

Hope this helps.

7 0

3 years ago

Fidelity Investments is selling a real estate income mutual fund for $10.94 per share. The fund charges a load of 2.5%. What is

Contact [7]

Answer:

Step-by-step explanation:

The fidelity investment mutual funds is $10.92 per share.

The fund charges 2.5%.

So, if 2.5% is charged,

Then, 2.5% of the share is

2.5% of $10.92 = 2.5 / 100 × $10.92

2.5% of $10.92 = $0.273

Then, total offer price is 0.273 + 10.92

Therefore, total offer is $11.193

4 0

3 years ago