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3 years ago

For every real number x,y, and z the statement (x-y)z=xz-yz is

Mathematics

1 answer:

VikaD [51]3 years ago

5 0

Answer:

true.

Step-by-step explanation:

(x - y)z = xz - yz

Apply the distributive property of multiplication over addition to the left side:

(x - y)z =

= z(x - y)

= xz - yz

This is the same as the right side, so the statement is true.

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Can two positive integers have their H.C.F and L.C.M as 12 and 512 respectively? justify.

DaniilM [7]

Here is your answer

Reason:

H.C.F. divides the L.C.M. completely.

Here 512 is not completely divided by 12

So, two numbers can't have their H.C.F and L.C.M as 12 and 512 respectively.

HOPE IT IS USEFUL

7 0

3 years ago

Read 2 more answers

2024 and 40 children in a class the ratio of boys to girls are 4:7 how many are in the clas

andreev551 [17]

There are 12 boys and 21 girls for a total of 33 students
I’m not sure if this is right!

4 0

3 years ago

A plumber had two pipes. The ratio of the length of the longer pipe to the

expeople1 [14]

Answer:

4.95m

Step-by-step explanation:

Let the length of longer and shorter pipe be x and y respectively..

given,

x/y=9/2...(i)

x-1.65=3y ...(ii)

in eqn ii..

x-1.65=3y

or, x/y - 1.65/y = 3

or, 9/2-1.65/y =3

or, 4.5-3 = 1.65/y

or, y=1.65/1.5

•°• y = 1.1m

now,

x/y = 9/2

or, x/1.1 = 4.5

x= 4.5×1.1

•°• x= 4.95m

thus, the length of the longer pipe is 4.95m

7 0

3 years ago

Simplfy 4x(2x-3) distributive property

Roman55 [17]

Greetings!

Simplify the Expression.
$=4x(2x-3)$

Distribute the Parenthesis.
How? Multiply the terms inside the Parenthesis by the term outside of the Parenthesis.
$=4x*2x-4x*3$

Combine Like Terms.
$=8x^2-12x$
$\left[\begin{array}{ccc}8x^2-12x\end{array}\right]$

Hope this helps.
-Benjamin

7 0

4 years ago

The positions of two divers from the water’s surface after a dive are shown:

Sergeeva-Olga [200]

Sal: −38 feet
Sam: −45 feet

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3 years ago