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2 years ago

Given the expression 2(3x + 1), what would be the resulting equivalent expression after the distributive property is applied?

Mathematics

2 answers:

Airida [17]2 years ago

7 0

Answer:

6x + 2

Step-by-step explanation:

2 x 3= 6

2 x 1= 2

Margaret [11]2 years ago

6 0

Answer:

6x + 2

Step-by-step explanation:

2(3x + 1)

Multiply 2 with 3x and 1.

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Can someone please help me with this math question

inn [45]

Answer:

1. reflection across x-axis

2. translation 6 units to the right and 3 units up (x+6,y+3)

Step-by-step explanation:

The trapezoid ABCD has it vertices at points A(-5,2), B(-3,4), C(-2,4) and D(-1,2).

First transformation is the reflection across the x-axis with the rule

(x,y)→(x,-y)

so,

A(-5,2)→A'(-5,-2)
B(-3,4)→B'(-3,-4)
C(-2,4)→C'(-2,-4)
D(-1,2)→D'(-1,-2)

Second transformation is translation 6 units to the right and 3 units up with the rule

(x,y)→(x+6,y+3)

so,

A'(-5,-2)→E(1,1)
B'(-3,-4)→H(3,-1)
C'(-2,-4)→G(4,-1)
D'(-1,-2)→F(5,1)

7 0

3 years ago

Simplify (square root 2)( square root of 2^3)

steposvetlana [31]

Answer:

$\large\boxed{(\sqrt2)(\sqrt{2^3})=4}$

Step-by-step explanation:

$(\sqrt2)(\sqrt{2^3})\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt{2\cdot2^3}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\sqrt{2^{1+3}}=\sqrt{2^4}\\\\(1)=\sqrt{2^{2\cdot2}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(2^2)^2}\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=2^2=4\\\\(2)=\sqrt{2\cdot2\cdot2\cdot2}=\sqrt{16}=6\ \text{because}\ 4^2=16$

8 0

3 years ago

Helpp with explanation:

slava [35]

Answer: 5

Step-by-step explanation:

7 0

3 years ago

A store has apples on sale for $28.00 for 8 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $112.

lys-0071 [83]

Answer

101 apples

Step-by-step explanation:

8 lbs x 16 oz = 128 oz

$28 / 128 oz = 22¢ per oz

$112 / 0.22¢ = 509 oz

509 oz / 5 oz = 101.8 apples

8 0

2 years ago

Supplementary angles are angles whose son is 180. To supplementary angles are such that one angle is 4° less than three times th

zzz [600]

Answer:

The measures of angle are 46 degrees and 134 degrees.

Step-by-step explanation:

We are given the following in the question:

Let the measure of one the of the supplementary angles be x degrees.

Measure of other angle =

$(3x-4)\text{ degrees}$

Since, the two angles are supplementary, their sum is 180 degrees.

Thus, we can write and solve the equation:

$x + (3x-4) = 180\\4x = 184\\x = 46\\(3x-4) = 134$

Thus, the measures of angle are 46 degrees and 134 degrees.

7 0

2 years ago