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ddd [48]
2 years ago
15

3) Which property is used in the following: 4 x (5 + 7) = 4 x 5 + 4x7

Mathematics
1 answer:
earnstyle [38]2 years ago
3 0

Answer:

3) D

4) B

5) A

6) 2 (x + 7)

Step-by-step explanation:

3)  

D. Distributive Property

The distributive property of multiplication over addition can be used when you multiply a number by a sum.

4)

B. 2 + 8 = 8 + 2

The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around.

5)

A. 4 x 1 = 4

The "Multiplicative Identity" is 1, because multiplying a number by 1 leaves it unchanged: a × 1 = 1 × a = a.

6)

3 ( x + 3) - X + 5

3x + 9 - x + 5

2x + 14

2 (x + 7)

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If angle 1 and angle 2 are <u>complementary, </u>then they add up to 90 degrees. We are given that angle 2 equals 52 degrees.

So we subtract and get our answer:

38

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The next step is:

Angle 1 and angle 3 are vertical angles.

Vertical angles are congruent.

So if angle 1 is 38, then angle 3 is also 38.

Now, supplementary angles add up to 180 degrees.

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Please help!!
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Answer:

y = 2/3x

Step-by-step explanation:

So we know, when lines are perpendicular that they share the same slope. The slope in the equation of y = 2/3x + 7 is 2/3x. So, we have our slope. Now, we just need to find our b. We plug in the point that you gave us into the equation y = mx + b.

3 = 2/3(2) + b

we multiply the denominator 3 by 2, then divide that by the numerator 2.

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subtract 3 from itself and from the opposite side of the equal side 3.

0 = b

in the end, there is no b for this equation. Our answer is

y = 2/3x

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