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3 years ago

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Which of the following statements demonstrates the associative property of multiplication? A. 4. (3x6) = (4 x 3) · 6. B 6x4 = 4x

6. C -3 x 1 = -3. D 2(24) = 2(20 + 4)

1 answer:

scoray [572]3 years ago

6 0

I hope this helps but it is either d or a because parentheses and another term for multiplication and so is a dot

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Factor using the magic X method:<br><br> x^2 + 6x + 5<br><br> SHOW WORK!!!

Schach [20]

Find values that add to 5 and multiply to 6
so the answer would be (x+5)(x+1)

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2 years ago

Where is the function increasing?

creativ13 [48]

Hello from MrBillDoesMath!

Answer:

Increasing on the interval [-5, -2]

Discussion:

The function value remains unchanged on [-2, 1] and decreases on [1,8]

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3 years ago

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I have to write the definitions of all of these math terms, can you help me?

EastWind [94]

Answer:

Solution of an Equation in Two Variables - Generally, a two-variable system solution is an ordered pair that makes BOTH equations valid.

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3 0

3 years ago

Let K and T be the current ages of two siblings, Katie and Thomas. Katie is currently twice the age of Thomas. In 6 years, Katie

Pavlova-9 [17]

Answer:

Katie is 6 years old and Thomas is 3 years old

Step-by-step explanation:

Given that we should let K and T be the current ages of two siblings, Katie and Thomas.

If Katie is currently twice the age of Thomas then,

K = 2T

and in 6 years, Katie will be 4 times Thomas's current age then

K + 6 = 4T

Solving both equations simultaneously by substituting the value of K given in the first equation into the second

2T + 6 = 4T

Collect like terms

6 = 4T - 2T

6 = 2T

Divide both sides by 2

T = 3

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K = 2 * 3

= 6

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6 0

2 years ago

Walk fifty meters at 30o north or east from the old oak tree. (2) Turn 45o to your left (you should now be facing 75o north of e

saw5 [17]

Answer:

A straight line of approximately 75 meters, 1.4º north

Step-by-step explanation:

Hi, let's make it step by step to make it clearer

1) If we walk 50 meters in 30º angle Northeast, assuming the Old Oak tree is the point 0,0 and we're dealing with vectors in $R^{2}$ . To say 30º Northeast is 30º clockwise (or 60º counter clockwise).

2) Then there was a the turning point to the left. If I turn to the left, on my compass 45º , I'll face 75º northeast.

3) Finally, the last vector leads to the treasure from the Old Oak Tree, i.e. the resultant.

So, let's calculate the norm which is the length of the each vector.

1) Graphing them we can find the points, then the components and then calculate the norm, the length of each vector.

Since the Oak Tree is on (0,0). The turning point (50,86.61) and the Rock (R=(1.4,74,85) we can write the following vectors:

$\vec{u}=\left \langle 50,86.61 \right \rangle\\\vec{v}=\left \langle -48.6,-11.76\right \rangle\\\vec{w}=\left \langle 1.4,74.85 \right \rangle$

Now, let's calculate each vector length by calculating the norm.

$\left \| \vec{u} \right \|=\sqrt{50^{2}+86.6^2}=100\\\left \| \vec{v} \right \|=\sqrt{(-48.6)^2+(-11.76)^2}=50\\\left \| \vec{u} \right \|=\sqrt{(1.4)^2+(74.85)^2}=74.86$

The path is almost 75 meters. And since it is less than 15º degrees to the left of the North (or to the right) its direction is still north of the Old Oak Tree.

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3 years ago