Prove that there has to be a common prime factor for the following expression to be true (or provide a counter-example):A^x + B^y = C^z

Answers

Answer 1

Answer:
hmm

1⁴+2³=3²
or
1+8=9
9=9
true
no common factor except 1 (but if we count 1, ther is no way we can get something with a common prime factor since all numbers have factor of 1)

counter example is
1⁴+2³=3²

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974.835 divided by 12.45

Answers

your answer would be 78.3 :) hope it helps

The answer is: 78.3
974.835/12.45 = 78.3

Find three consecutive integers whose sum is -93 and write an equation.

Answers

-30, -31, -32
-30 + -31 + -32 = -93

Which statement best describes the area of the triangle shown below? A coordinate grid is shown with a triangle.. The base is 4 units, and the height is 4 units. A It is one-half the area of a rectangle of length 4 units and width 2 units.B.It is one-half the area of a square of side length 4 units.
C.It is twice the area of a rectangle of length 4 units and width 2 units.
D.It is twice the area of a square of side length 4 units.

Answers

Answer:

The answer is B.It is one-half the area of a square of side length 4 units.

Step-by-step explanation:

Given a coordinate grid shown with triangle of measurements with base 4 units and height also 4 units.

We have to find the area of triangle which can be calculated as

⇒ $Area=(1)/(2) * base * height$

= $(1)/(2)* 4 * 4=8squareunits$

we have to choose the statement describes the area of the triangle evaluate above.

Option A: Not matched ∵equals to $(1)/(2)$ [area of rectangle of length 4 units width 2 units]= $(1)/(2)* 4 * 2=4 sq units$

Option B: matched : given one-half the area of a square of side length 4 units.

⇒ $(1)/(2)* 4 * 4=8 squnits$

Option C : Not matched : It is twice the area of a rectangle of length 4 units and width 2 units

⇒ $2* length* breadth=2* 4* 2=16 sq units$

Option 4 : Not matched : It is twice the area of a square of side length 4 units.

⇒ $2* 4 * 4=32 squnits$

So, the correct option is B. It is one-half the area of a square of side length 4 units.

Answer:The answer is B.

I just took the test and got it right!!

Step-by-step explanation:

Have a great day guys!

Reduce 72:81 to its simplist form

Answers

$\frac { 72 }{ 81 } \n \n =\frac { 8 }{ 9 } \cdot \frac { 9 }{ 9 } \n \n =\frac { 8 }{ 9 } \cdot 1\n \n =\frac { 8 }{ 9 }$

Divide by 9/9 and you get 8/9 :)

Devon studied the composite figure.(Picture 1)
He believed the surface area, in square units, could be found by simplifying the expression
(Picture 2)
What error did Devon make?

A. He used 26 instead of 24 as the slant height of one set of lateral faces.
B. He omitted the rectangle where the upper and lower solids join together.
C. He included the 34 by 20 base of the figure.
D. He believed the upper part of the figure was a pyramid instead of a prism.

Answers

If we look at his calculations
2((9)(20) is the front an back rectangle
2((9)(34)) is the side rectangles
(34)(20) is the bottom
2(1/2(20(24)) is te front and top triangles
and the last one assumes that they are triangles which is incorrect

answer is D

Answer:

Step-by-step explanation:

patrick brought 54 inces of material that cost $3.40 for one yard. What change did he gets if he paid for the material with twenty-dollar bill? please explain and show your work.

Answers

1.44 yards=54 in

1.44(3.40)=$4.91

$20.00 - $4.91=$15.09

The correct answer to your question is 15.09 hope this helps

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