Which property is illustrated by the following statement? (7p)mn = 7p(mn)
2 answers:
Answer:
The associative property of multiplication.
Step-by-step explanation:
We have been given an equation . We are asked to determine the property illustrated in the given equation.
We can see that in our given equation the associative property of multiplication is used.
The associative property of multiplication states that we can multiply numbers regardless of how they are grouped.
Therefore, associative property of multiplication is illustrated in the given equation.
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The correct answer is: [B]: " 
" .
__________________________________________________________
Consider choice [A]:
;
=
;
= 2 ; "2 ≠ -2" ; so we can rule out: "Choice [A]" .
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Consider choice [B]: ;
=
;
= "-2" ; Yes!
→ Let us proceed with the final answer choice ;
__________________________________________________________
Consider choice [C]:
;
= ;
= 2 ; "2 ≠ -2" ; so we can rule out: "Choice [C]" .
__________________________________________________________
The correct answer is: [B]: " " .
__________________________________________________________
__________________________________________________________
Consider choice [A]:
=
= 2 ; "2 ≠ -2" ; so we can rule out: "Choice [A]" .
__________________________________________________________
Consider choice [B]:
=
= "-2" ; Yes!
→ Let us proceed with the final answer choice ;
__________________________________________________________
Consider choice [C]:
=
= 2 ; "2 ≠ -2" ; so we can rule out: "Choice [C]" .
__________________________________________________________
The correct answer is: [B]: "
__________________________________________________________
Answer:
Therefore the value of x = 10 units
Step-by-step explanation:
Let label the Triangles first,
Δ ABC a right triangle at ∠ A =90°
Δ ADB andΔ ADC a right triangle at ∠ D =90°
Such that
AD = x
BD = 50
CD = 2
∴ BC = BD + DC = 50 + 2 = 52
To Find:
x = ?
Solution:
In right triangle By Pythagoras Theorem,
In right triangle Δ ADB andΔ ADC By Pythagoras Theorem we will have,
AB² = BD² + AD²
AB² = 50² + x² ..................equation ( 1 )
and
AC² = DC² + AD²
AC² = 2² + x² ...................equation ( 2 )
Now in right triangle Δ ABC,
BC² = AB² + AC²
Equating equation (1 ) and ( 2 ) and the given value we get
52² = 50² + x² + 2² + x²
∴ 2x² = 2704 - 2504
∴ 2x² =200
∴
Therefore the value of x = 10 units
