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mash [69]
3 years ago
15

Subtract. Write the answer in standard form. (12+4i)−(3−7i)

Mathematics
2 answers:
LiRa [457]3 years ago
8 0

Answer:

9+11i

Step-by-step explanation:

12-3=9

4i-(-7i)=11

Elina [12.6K]3 years ago
7 0

Answer:9 +11i

Step-by-step explanation:12 +4i-3+7i=9+11i

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What is the difference? x+5/x+2-x+1/x2+2x
Mrac [35]

Question

x+5/x+2 - x+1/x²+2x

Answer:

= (x² - 4x - 1)/[x (x+2)]

= (x² - 4x - 1)/[x² + 2x]

Step-by-step explanation:

x + 5/x + 2 - x + 1/x² + 2x

We factorise the second denominator to give us :

x + 5/x + 2 - x + 1/x(x + 2)

We find the L.C.M of both denominators which is x(x+2).

[x(x + 5)-(x + 1)] / (x (x + 2))

Expand the bracket

=[x² +5x - x -1] / [x (x + 2)]

=(x² - 4x - 1) / [x (x + 2)]

= (x² - 4x - 1)/ [x (x + 2)]

= (x² - 4x - 1) / [x² + 2x]

6 0
3 years ago
How to divide 250 divided by the power of ten
12345 [234]

Answer:

Hello Adam Here!

Step-by-step explanation:

When multiplying by powers of 10, move the decimal point one place to the right for each power of ten. 2. When dividing by powers of 10, move the decimal point one place to the left for each power of ten. The following diagram shows how to multiply and divide numbers by powers of 10.

Hope This Helps From, Adam :)

5 0
3 years ago
Which formula finds the probability that a point on the grid below will be in the blue area? A grid contains 20 squares. 10 squa
Natali5045456 [20]

The formula that finds the probability that a point on the grid below will be in the blue area is represented by the option:

P (blue) = StartFraction number of blue squares over the total number of squares EndFraction.

The probability = 1/2.

The probability of an event defines the chance of the occurrence of that event. It is given by the ratio of the total number of outcomes favorable to the event to the total number of outcomes in the experiment.

If we suppose an event to be A, the total number of possible outcomes favorable to A be n, and the total number of outcomes in the experiment be S, then the probability of event A can be given as:

P(A) = n/S.

In the question, we are asked to find the formula that defines the probability that a point on the grid will be in the blue area, where the grid contains 20 squares, 10 of them being shaded blue.

We take the event that the chosen point is in the blue area as A.

The total number of outcomes favorable to this event A can be given by n, which will be equal to the number of blue squares = 10

The total number of outcomes in the experiment can be given by S, which will be equal to the number of squares = 20.

Now, the formula for the probability of event A can be written as

P(A) = n/S = 10/20 = 1/2.

The formula that finds the probability that a point on the grid below will be in the blue area is represented by the option:

P (blue) = StartFraction number of blue squares over the total number of squares EndFraction.

Learn more about the Probability of an event at

brainly.com/question/7965468

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4 0
2 years ago
Select the correct expressions. 1 Identify each expression that represents the slope of a tangent to the curve y= * +1 at any po
Olegator [25]

The expressions which represents the slope of a tangent to the curve y=\frac{1}{x+1} at any point (x, y) are:

                                ​f'(x) =limh \rightarrow 0\frac{-h}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{x^2h+2xh+xh^2+h^2 +1}

<h3>The slope of a tangent to the curve.</h3>

Mathematically, the slope of a tangent line to the curve is given by this equation:

f'(x) =limh \rightarrow 0\frac{f(x+h)-f(x)}{h}

Given the function:

f(x)=y=\frac{1}{x+1}

When (x + h), we have:

f(x+h)=y=\frac{1}{x+h+1}

Next, we would find the derivative of f(x):

f'(x) =limh \rightarrow 0\frac{\frac{1}{x+h+1} -\frac{1}{x+1}}{h}\\\\f'(x) =limh \rightarrow 0\frac{x+1 -(x+h+1)}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{x+1 -x-h-1}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{x^2h+2xh+xh^2+h^2 +1}\\\\f'(x) = \frac{-1}{(x+1)(x+1)} \\\\f'(x) = \frac{-1}{(x+1)^2}

Read more on slope of a tangent here: brainly.com/question/26015157

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5 0
2 years ago
What is this Measurement? I need help with this question.
borishaifa [10]

Answer:

570g

Explanation:

each measurement is 10g (bc 100÷10=10) and as the line is on the 7th measurement you times it by 10 and add to 500

7×10 + 500

5 0
3 years ago
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