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2 years ago

7

Simplify the expression

1 answer:

damaskus [11]2 years ago

3 0

First, simplify the denominator into 1+3i. Then multiply both the numerator and denominator by 1-3i to rationalize the denominator. Then, the numerator becomes i+3, and the denominator becomes 10. So, the first answer is correct.

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Helaine graphed the equation 12 x -4y=3

koban [17]

Answer:-0.0625

Step-by-step explanation:

6 0

2 years ago

Suppose that w and t vary inversely and that t = 5/12

Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that $w$ varies Inversely with $t$ thus generally speaking $w$ ∝ $\frac{1}{t}$ since they are inverted, <u>otherwise</u> if they were proportionally varied then $w$ ∝ $t$ . This means that there is a constant value ( $a$ ) for which $w$ is inversely proportional to $t$ and can be mathematically expressed as:

$w=\frac{a}{t}$ Eqn. (1)

Now since we are given the values of $w=4$ and $t=\frac{5}{12}$ , we can plug them in Eqn. (1) and find our constant of proportionality $a$ as follow:

$w=\frac{a}{t}\\ \\a=wt\\\\a=(4)(\frac{5}{12} )\\\\a=\frac{5}{3}$

Now that we have our constant we can find the new $t$ value for the second value of $w=5$ as follow:

$w=\frac{a}{t} \\\\t=\frac{a}{w}\\ \\t=\frac{\frac{5}{3} }{5}\\\\t=\frac{5}{15}\\ \\t=\frac{1}{3}\\$

Therefore based on the options give, we can see that Option B. is correct since

$t=\frac{5}{3w}$ and for $w=5$ , then $t=\frac{1}{3}$

8 0

2 years ago

Are these ratios equivalent? 12 bouquets for every 20 corsages 9 bouquets for every 15 corsages?

ohaa [14]

Answer:

yes, they are

Step-by-step explanation:

3;5 = 6;10

4 0

2 years ago

Sophia has 3 jewelry boxes. She puts 8 necklaces in each box. Explain how to use counters to solve for the total number of neckl

ankoles [38]

Answer:

24 is your answer

Step-by-step explanation:

4 0

2 years ago

10. What is the value of x in the solution to the system of equations?

RUDIKE [14]

Solve for x in first equation:

x-2y=7

Add “2y” to both sides

x=2y+7

Put this in to second equation:

3(2y+7)+2y=21

Solve for y:

Distribute the 3 into the ()

6y+21+2y=21

Combine the like y terms

8y+21=21

Subtract 21 from both sides

8y=0

Divide by 8 on both sides

y=0

Put this into the first solved equation:

x=2(0)+7

Solve for x:

Multiple 2(0)

x=0+7

Add 0 and 7

x=7

So the value of x is positive 7.

3 0

2 years ago