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postnew [5]
3 years ago
13

Which of the following can be used to find the absolute value of 4 - 7i?

Mathematics
2 answers:
fomenos3 years ago
7 0

Answer:

Option 1 is correct

Explanation:

We have been given with the function 4 -7i

To find the absolute value means to find the modulus of the function.

And modulus of the function is  \sqrt{a^2+b^2}

Here we have a=4 and b= -7 so substituting the values in the formula we will get

 \sqrt{4^2+(-7)^2}

Hence, Option 1 is correct

Option 2 is incorrect because we do not consider "i" in finding absolute value or modulus

Option 3 is incorrect because it should be -7 not 7

Option 4 is incorrect because it should not be whole square.

Therefore Option 1 is correct.

inn [45]3 years ago
5 0
The first one.

|a+bi|=\sqrt{a^2+b^2}
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HELP PLEASE! Write a quadratic function that passes through the point (-1,9), has an axis of symmetry of x=-3 and a minimum valu
xxTIMURxx [149]

Answer:

y = \frac{1}{2}x^{2} - 3x + 11.5

Step-by-step explanation:

Vertex form of a quadratic equation;

y = a( x - h )^{2} + k

Vertex of the parabolas (h, k)

The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

y = a ( x + 3 ) ^{2} + 7

Now substitute in the given point; ( -1, 9) and solve for a;

9 = a( (-1 ) + 3)^2 + 7\\9 = a (2)^{2} + 7\\9 = 4a + 7\\-7           -7\\2 = 4a\\\frac{1}{2} = a\\

Hence the equation in vertex form is;

y = \frac{1}{2}(x - 3)^{2} + 7

In standard form it is;

y = \frac{1}{2}x^{2} - 3x + 11.5

7 0
2 years ago
Please tell explain what the right answer is
kupik [55]

Angle 3 and angle 4 are supplementary angles and when added together need to equal 180 degrees.

To find angle 4 subtract angle 3 from 180.

Angle 4 = 180 - 101 = 79 degrees.

5 0
3 years ago
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Write the equation of a line passing through the points ​(2​, -4​) and ​(2​, -9​). Write the equation in​ slope-intercept form.
Norma-Jean [14]
1. find our slope: y2 - y1/ x2- x 1

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2 - 2 = 0

m = 0

2. now we need to use our point-slope form to find our y intercept

point-slope form: y - y1 = m(x - x1)

y + 4 = 0(x - 2)

distribute:
y + 4 = 0x

3. get y by itself

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4. write in slope-intercept form:

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8 0
3 years ago
We assume that the outcomes of successive trials in a binomial experiment are
NeTakaya

The <em>correct answer</em> is:


Independent.


Explanation:


The criteria for binomial experiments are:


A fixed number of trials.;

Each trial is independent of the others.;

There are only two outcomes; and

The probability of each outcome remains constant from trial to trial.


This means the outcomes are constant and independent.

6 0
2 years ago
U - 4u + 4 = 7 what is U
valentina_108 [34]
Try to get the u’s on one side so for this to happen, you would subtract the four from both sides.
u - 4u = 7 - 4

combine like terms

-3u = 3

divide by -3

u = -1
8 0
3 years ago
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