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3 years ago

Which two complex numbers when added together and written in standard form equal 10-3i?

Mathematics

1 answer:

dedylja [7]3 years ago

4 0

Answer:

A -3 − 4i C 13 + i

Step-by-step explanation:

We add the real part and the imaginary part separately.

Adding A and C will give us 10 - 3i:

-3 - 4i + 13 + i

= -3 + 13 - 4i + i

= 10 - 3i.

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Daniel borrowed $8,000 at 6% interest for 10 years. What was the total interest? A. $48,000 B. $4,800 C. $480 D. $48

Mariulka [41]

I think it wold be b

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3 years ago

Determine the equation of the line that is parallel to the given line, through the given point

bixtya [17]

The equation of the line that is parallel to the given line, through the given point is y = -5x - 7

Given equation,

y = -5x + 1

Slope = m

= -5

For two lines to be parallel, slope is equal.

Therefore, m = -5 for another line.

Let the equation of the line be y = mx + c

This line passes through A(-2,3)

Therefore, 3 = -5(-2) + c

3 = 10 + c

c = 3 - 10

= -7

Hence, equation of line is y = -5x - 7.

To learn more about equation of the line here:

brainly.com/question/21511618

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1 year ago

Pls helpppppppppppppp

OLEGan [10]

Answer/Step-by-step explanation:

The following steps to solve equation given by join are shown below including the property of numbers applied for each reasons:

4(2a + 3) = -3(a - 1) + 31 - 11a ----› Given

Apply the distributive property to open the parentheses

4*2a + 4*3 = -3*a -3*-1 + 31 - 11a

8a + 12 = -3a + 3 + 31 - 11a ----› Distributive property

Combine like terms together

8a + 12 = 3 + 31 -3a - 11a

8a + 12 = 34 - 14a ---› Combining like terms

Add 14a to both sides

8a + 12 + 14a = 34 - 14a + 14a

22a + 12 = 34 ----› Addition property

Subtract 12 from both sides

22a + 12 - 12 = 34 - 12

22a = 22 ----› subtraction property of equality

Divide both sides by 22

22a/22 = 22/22

a = 1 ----› Division property of Equality

7 0

3 years ago

What percentage of households in the survey have four or more televisions?

Ratling [72]

Answer:

2.5% ?

Step-by-step explanation:

.025 as percentage is 2.5%

5 0

3 years ago

Calculus= Integrate 5^x dx please break down how answer is 1/6x^6+C

aleksley [76]

Answer:

$\int\limits {5^x} \, dx = \frac{5^x}{ln\ x} + c$

Step-by-step explanation:

Note that the integral of $5^x$ is not $\frac{1}{6}x^6 + c$

The solution is as follows:

Given

$5^x$

Required

Integrate

Represent the given expression using integral notation

$\int\limits {5^x} \, dx$

This question can't be solved directly;

We'll make use of exponential rules which states;

$\int\limits {a^x} \, dx = \frac{a^x}{ln\ x} + c$

By comparing $\int\limits {5^x} \, dx$ with $\int\limits {a^x} \, dx$ ;

we can substitute 5 for a;

Hence, the expression $\int\limits {a^x} \, dx = \frac{a^x}{ln\ x} + c$ becomes

$\int\limits {5^x} \, dx = \frac{5^x}{ln\ x} + c$

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

However, the integral of $x^5$ is $\frac{1}{6}x^6 + c$

This is shown below:

Given that $x^5$

Applying power rule;

Power rule states that

$\int\limits{x^n}\ dx = \frac{x^{n+1}}{n+1} + c$

In this case ( $x^5$ ), n = 5;

So, $\int\limits{x^n}\ dx= \frac{x^{n+1}}{n+1} + c$

becomes

$\int\limits{x^5}\ dx = \frac{x^{5+1}}{5+1} + c$

$\int\limits{x^5}\ dx = \frac{x^{6}}{6} + c$

$\int\limits{x^5}\ dx= \frac{x^{6}}{6} + c$

4 0

3 years ago