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3 years ago

Write the expression as a complex number in standard form.

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

3 0

Answer:

15+2i

Step-by-step explanation:

Hi there!

We are given the following expression:

(7-4i) + (8+6i)

And we want to write it as a complex number in standard form

Standard form is <u>a+bi</u>, where a is the real part of the number and bi is the imaginary part of the number.

We can open up the parentheses on the expression

7-4i+8+6i

Now combine the like terms (add 8 and 7 together, then add -4i and 6i together)

The complex number is now in standard form

Hope this helps!

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If it takes 5 gallons of gas to drive 115 miles, how many miles can be driven using 7 gallons of gas?

elena-s [515]

Answer: The answer is 161

Step-by-step explanation: First you write 5 and 115 as a proportion, 5/115, (for every 5 gallons you can go 115 miles). Then you find out how much you can go with 1 gallon, divide by 5. Then multiply that by 7, since that is how many gallons you need to find out.

Hope this is helpful!

7 0

3 years ago

A spark plug listed at $1.89, marked down 29%

N76 [4]

29% = 0.29

Multiply 1.89 with 0.29

1.89 x 0.29 = 0.5481

Note that it is a markdown, so subtract 0.55 (rounded) with 1.89

1.89 - 0.55 = 1.34

The spark plug now costs ~ $1.34

hope this helps

6 0

4 years ago

Read 2 more answers

Please help me with this!!

rewona [7]

Area = b * h
Area of orange = area of big square subtract by area of small square

Small square = b^2
Big square = a^2
(a^2 - b^2) = (a - b)( a + b)

Solution: (a - b) (a + b)

8 0

2 years ago

Read 2 more answers

I PROMISE BRAINLIST; 5-STARS; THANKS!! IT'S VERY SIMPLE; BELIEVE ME!!!!!

DochEvi [55]

Answer:

2. B

3. C

4. B

5. D

Step-by-step explanation:

2) The sequence is multiplying by -2 each time. This means that it is geometric.

The next two terms would be:

$32*-2=-64\\-64*-2=128\\128*-2=-256$

This means that the answer is B

3) The sequence is being multiplied by $\frac{1}{3}$ each time. This means that it is geometric.

The next 3 terms would be:

$3*\frac{1}{3} =1 \\\\1*\frac{1}{3} =\frac{1}{3} \\\\\frac{1}{3} *\frac{1}{3} =\frac{1}{9}$

I am assuming that the answer is C and that you were unable to type the fractions.

4) We know that the common difference is 1.5, so that is the coefficient of our variable and the starting value is 15. This means that we can write an equation as follows

$f(x)=1.5(x-1)+15$