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Rom4ik [11]
2 years ago
12

Geoff must mentally multiply –5 × 0.75 × 20. Which shows how Geoff could use the associative and commutative properties to make

this product easier to find? A –5 ×75100× 20 B (–5 × 20) × 0.75 C 20 × (0.75 × (–5)) D –5 × (20 × 0.75)
Mathematics
2 answers:
joja [24]2 years ago
4 0

Answer:

Step-by-step explanation:

–5 × 0.75 × 20 could be rewritten (applying the associative property) as –5 × (0.75 × 20).  I chose this configuration because 0.75 * 20 is 15.  Next, evaluate -5(15).  This is -75.  This matches Answer D.

katrin [286]2 years ago
3 0

Answer:

The Answer is B.

Step-by-step explanation:

The guy above be was wrong. I put D, and it was incorrect. So...

The answer is B!

You're welcome!

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4 0
3 years ago
if the following line segment is reflected across the x-axis what are the coordinates new endpoints A.) (-1,-6) and (-3,-2) B.)
Tasya [4]

Answer:

A.) (-1,-6) and (-3,-2)

Step-by-step explanation:

The given line segment has coordinates

(-1,6) and (-3,2)

The mapping for a reflection in the x-axis is

(x,y)\to (x,-y)

This implies that;

(-1,6)\to (-1,-6)

and

(-3,2)\to (-3,-2)

The correct choice is A.

7 0
3 years ago
Find the volume of a regular hexahedron if one of the diagonals of its faces is 8 root 2 inches.
Naily [24]
The answer is 114sqrt{6} in³

A regular hexahedron is actually a cube. 

Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²

Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²

D² = f² + a²
f² = 2a²

D² = 2a² + a² = 3a²
D = √3a² = √3 * √a² = √3 * a = a√3

Volume of a cube with side a is: V = a³
D = a√3
⇒ a = D/√3

V = a³ = (D/√3)³

We have:
D = 8√2 in

V= (\frac{D}{ \sqrt{3} } )^{3} =( \frac{8 \sqrt{2} }{ \sqrt{3} } )^{3}=( \frac{8 \sqrt{2} * \sqrt{3} }{ \sqrt{3}* \sqrt{3}} )^{3} =( \frac{8 \sqrt{2*3} }{ \sqrt{3*3}} )^{3} =( \frac{8 \sqrt{6} }{ \sqrt{3^{2} }} )^{3} =( \frac{8 \sqrt{6} }{ 3} )^{3} = \\ \\ = \frac{ 8^{3} *( \sqrt{6} )^{3}}{3^{3}} = \frac{512* \sqrt{6 ^{2} }* \sqrt{6} }{27} = \frac{512*6* \sqrt{6} }{27} = 114sqrt{6}
8 0
3 years ago
Which of these is the absolute value parent function?
bija089 [108]

Answer:

  D.  f(x) = |x|

Step-by-step explanation:

The absolute value parent function has nothing added or subtracted or multiplied. It is simply ...

  f(x) = |x|

8 0
3 years ago
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