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2 years ago

Solve for the variable. Include which Property you used in your work at each step

Mathematics

1 answer:

Nana76 [90]2 years ago

7 0

Answer:

d=-18

a=51

x=-4

c=13/3

Step-by-step explanation:

1. subtract 6 from both sides

divide both sides by -2

2. add 2 to both sides

times both sides by 3

3. times both sides by 4

divide both sides by 9

4. multiply the 10 out into the parenthesis add the 10c and 2c to get 12 c

add 40 to both sides

divide both sides by 3

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Least common denominator?

Over [174]

Answer:

$\large\boxed{(s-2)(s+2)(s-3)=(s^2-4)(s-3)=s^3-3s^2-4s+12}$

Step-by-step explanation:

$s^2-4=s^2-2^2=(s-2)(s+2)\\\\\text{used}\ a^2-b^2=(a-b)(a+b)\\\\s^2-5s+6=s^2-2s-3s+6=s(s-2)-3(s-2)=(s-2)(s-3)\\\\\text{Therefore}\ LCD(s^2-4,\ s^2-5s+6)=(s-2)(s+2)(s-3)$

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2 years ago

Convert Зcis 180° to rectangular form. А. -3 в. -3i с. з D. Зі.

Sunny_sXe [5.5K]

Answer:

-3

Step-by-step explanation:

$3 cis(180^\circ)$ means $3(\cos(180^\circ)+i \sin(180^\circ))$

What is the $x$ -coordinate value that corresponds to $\theta=180^\circ$ . That value is -1.

What is the $y$ -coordinate value that corresponds to $\theta=180^\circ$ . That value is 0.

So this implies $\cos(180^\circ)=-1 \text{ and } \sin(180^\circ)=0$ .

$3 cis(180^\circ)$

$3(\cos(180^\circ)+i \sin(180^\circ))$

$3(-1+i (0))$

$3(-1+0)$

$3(-1)$

$-3$

5 0

3 years ago

Standard printer paper has a thickness of 0.1mm. write an equation for a function that should approximately the thickness of a s

ladessa [460]

Folding a paper will make it thickness become double from it before.
Unfolded paper has 1 thickness
1 times folded paper has 2 thickness
2 times folded paper has 4 thickness
3 times folded paper has 8 thickness

From here it is clear that the pattern is $2^{n}$ . SInce the paper is 0.1mm, then the function would be:
f(n)= $2^{n}$ x 0.1mm

4 0

2 years ago

Are the following expressions equivalent? Why or why not? 6(2x + 4) and 12x + 24

MrMuchimi

Answer: Yes

Step-by-step explanation:

When using the distributive property, 6(2x + 4) becomes 12x + 24

6 * 2x = 12x and 6 * 4 = 24

12x + 24 = 12x + 24

Therefore, the expressions are equivalent.

8 0

2 years ago

What is −√72 expressed in simplified form

Alekssandra [29.7K]

Answer:

− 6 √ 2

Step-by-step explanation:

6 0

2 years ago