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4 years ago

Same question as last... 3 1/4 - 1 1/2=

1 answer:

4 0

I find it easier to convert both mixed numbers into improper fractions:

13/4 - 3/2. The LCD here is 4, so 13/4 stays as is, but 3/2 becomes 6/4.

Now subtract: 13/4 - 6/4 = 7/4 (answer)

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Find the modulus of the complex number 6-2i

Papessa [141]

Answer:

The modulus of the complex number 6-2i is:

$|z|\:=2\sqrt{10}$

Step-by-step explanation:

Given the number

$6-2i$

We know that

$z = x + iy$

where x and y are real and $\sqrt{-1}=i$

The modulus or absolute value of z is:

$|z|\:=\sqrt{x^2+y^2}$

Therefore, the modulus of $6-2i$ will be:

$z=6-2i$

$z=6+(-2)i$

$|z|\:=\sqrt{x^2+y^2}$

$|z|\:=\sqrt{6^2+\left(-2\right)^2}$

$=\sqrt{6^2+2^2}$

$=\sqrt{36+4}$

$=\sqrt{40}$

$=\sqrt{2^2}\sqrt{2\cdot \:5}$

$=2\sqrt{2\cdot \:5}$

$=2\sqrt{10}$

Therefore, the modulus of the complex number 6-2i is:

$|z|\:=2\sqrt{10}$

3 0

3 years ago

Aaron rides his bike at a constant rate of 10 miles per hour. Which table represents y, the number of miles Aaron rides his bike

Tema [17]

Answer:

I believe the answer is c. but I'm not too sure.

Step-by-step explanation:

my reasoning for this is because it's the chart that is constant. y starts out with 5=0.5 & they add five more on y's side. & x increased the same amount throughout the chart.

5 0

3 years ago

Read 2 more answers

Instead of dividing 400 by 16, Chip thought of an equivalent division problem that was easier for him to divide. Write an equiva

galben [10]

You can divided each by 4 and get this easy answer..

100 divided by 4= 25. Hope it helps!

5 0

4 years ago

Look at the figure shown below

Setler79 [48]

Answer:

Answer is given below with explanations.

Step-by-step explanation:

Answer is option 1) 85 : 51

$given \: that \: \\ triangle \: SPT \: is \: similar \: to \: triangle \: QPR \\ corresponding \: sides \: of \: similar \: \\ triangles \: are \: in \: proportion \\ then \: \\ \frac{SP}{ QP} = \frac{PT }{ PR} \\ \frac{3x}{3x + 24} = \frac{51}{85} \\ taking \: reciprocal \: on \: both \: sides \\ \frac{3x + 24}{3x} = \frac{85}{51}$

Option 1 is correct.

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

6 0

3 years ago

Help w #5 !! will mark brainlist

iris [78.8K]

The sum that represents the number of tickets sold if 35 tickets were sold Monday, half of the remaining tickets were sold on Tuesday and 14 tickets were sold on Wednesday.

To start solving this, we can assign t as the variable to the total number of tickets that were sold. So, t = 35 (for Monday) + (t - 35)/2 (for Tuesday) + 14 (for Wednesday). To solve this, we can say t = 49 + (t - 35)/2, or 2t = 98 + t - 35, which equals t = 63. Therefore, 63 tickets were sold total.

7 0

3 years ago