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2 years ago

3(a + 4) = 3a + 4 Question 3 options: True False

2 answers:

8 0

The answer to this is False. Because 3Xa would be 3a, then 3X4 would be 12. Therefore your new sentence would be, 3a + 12 = 3a + 4

sattari [20]2 years ago

4 0

Simple...

you have: 3(a+4)=3a+4

You're deciding whether it's true or false..to do so, simplify it..

3(a+4)=3a+4

3*a=3a
3*4=12

3a+12=3a+4

As we can see here, they do no match. False.

Thus, your answer.

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3 years ago

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Find the length of midsegment YZ in trapezoid ABCD when A(-5,-6) B(-6,-2) C(-4,0) and D(3,2)

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Option C

Step-by-step explanation:

Since, Y and Z are the midpoints of sides AB and CD of the given trapezoid.

Segment YZ will the midsegment of trapezoid ABCD.

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m(YZ) = $\frac{1}{2}(AD+BC)$

By using expression for the length of a segment between two points,

Length of a segment = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between two points A(-5, -6) and D(3, 2),

AD = $\sqrt{(3+5)^2+(2+6)^2}$

AD = $\sqrt{64+64}$

AD = $\sqrt{128}$

AD = $8\sqrt{2}$

Distance between B(-6, -2) and C(-4, 0)

BC = $\sqrt{(-6+4)^2+(-2-0)^2}$

BC = $\sqrt{8}$

BC = $2\sqrt{2}$

Therefore, m(YZ) = $\frac{1}{2}(8\sqrt{2}+2\sqrt{2})$

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2 years ago

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