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uranmaximum [27]
2 years ago
14

How can you use the Distributive Property to check your work when factoring?

Mathematics
2 answers:
vitfil [10]2 years ago
6 0
The answer is d. Once an expression has been factored, use the distributive property to expand the expression. The expanded expression should be the original expression.
Mademuasel [1]2 years ago
3 0
The answer is D. Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.
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Plz solve this question for me
sveticcg [70]

Answer:

2

Step-by-step explanation:

w + 1/2 ➡ (2w + 1)/2

w/4 + 2➡ (w + 8)/4

(2w + 1)/2 = (w + 8)/4

8w + 4 = 2w + 16 ➡ 6w = 12

w = 2

3 0
3 years ago
Read 2 more answers
A square has a perimeter of 28 feet what is its area
Westkost [7]
Given:
square shape
Perimeter 28 feet
Find its area

A square has 4 equal sides, so perimeter is 4a

Perimeter = 4a
28 ft = 4 a
28 ft / 4 = a
7 = a

One side of the the square is 7 ft.

Area of a square is the measure of one side raised to the power of 2.

A = a²
A = (7 ft)²
A = 49 ft²
7 0
3 years ago
Read 2 more answers
Find the values of x and y
zhuklara [117]

You can use a tangent:

tangent=\dfrac{opposite}{adjacent}

We have opposite = 17 and adjacent = x.

\tan30^o=\dfrac{\sqrt3}{3}

substitute:

\dfrac{17}{x}=\dfrac{\sqrt3}{3}       cross multiply

x\sqrt3=(3)(17)     multiply both sides by √3

x(\sqrt3)(\sqrt3)=51\sqrt3

3x=51\sqrt3      divide both sides by 3

x=17\sqrt3

Use the Pythagorean theorem:

y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34

-------------------------------------------------------------------------------------------------

Other method.

30^o-60^o-90^o triangle.

The sides are in the ratio 1:2:\sqrt3\to17:y:x

Therefore

17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3

 


4 0
4 years ago
Write the fractions as fractions with a common denominator 3/4 and 1/3
JulijaS [17]

3/4 and 1/3

4x3 = 12 that will be the common denominator.

For 3/4 we first divide 12/4 = 3 and then multiply 3 x3 = 9 that's the numerator

For 1/3 we first divide 12/3 = 4 and then multiply 1x4 = 4 that's the numerator

The fractions will be rewrited as: 9/12 and 4/12

3 0
1 year ago
Which of the following absolute value equations has no solutions?Group of answer choices
Amiraneli [1.4K]

The absolute value measures the distance a number is away from the origin (zero) on the number line. A number can be to the left or right of zero on the number line, but the distance away from zero is always positive. Graphically:

In other words:

• If d is positive and

\begin{gathered} |x|=d \\ \text{ then} \\ x=d\text{ or }x=-d \end{gathered}

• If d is negative and

\begin{gathered} |x|=-d \\ \text{then} \\ \text{ No solution, because distance (d) can not be negative.} \end{gathered}

Therefore, the equation that has no solutions is:

\boldsymbol{|x|=-3}

3 0
1 year ago
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