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stepladder [879]
3 years ago
5

PLZ HELP ILL GIVE BRAINLIEST

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0

Answer:

-1 -9i, where a = -1 and b = -9

Step-by-step explanation:

1st step is to open up the brackets. Since there's a (-) in front of the second bracket, we have to multiply every term by -1, so positive becomes negative, negative becomes positive etc.

4-i-5-8i

Then we collect like terms.

-1 -9i

This is the answer. It looks wrong since the variables are 'positive' in a +bi, but you have to remember that a variable can be represented as a, but its actual value could be negative, in this case -1. This is the same with b, as b could be the same as -9.

This is an expression, so we can't multiply everything by -1 to make it 'look right'. You can only multiply by -1 or 'alter' the terms when the expression equates to something.

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Determine the domain of the following graph
kondor19780726 [428]

Answer:

Step-by-step explanation:

1) The domain is related to the behaviour of the x

the graph started when x is -11 and finish when x is 1

so

D : [-11 ; 1]

or -11 ≤x ≤ 1

the range is related to the behavior of y

the graph start when y is -7 and finish when y = 0

Range : [-7;0]

or -7≤ y ≤ 0

6 0
3 years ago
Find the point P on the line yequals=66x that is closest to the point (74 comma 0 )(74,0). What is the least distance between P
tekilochka [14]

Answer:

The point P that is closest to the point (74, 0) is P(7.4, 22.2), and the least distance between P and (74, 0) is 70.2

Step-by-step explanation:

Given

y = 66x

And a point A(74, 0)

We are required to find the point on the line that is closest to A, and then find the distance between these points.

Let the point be P(s, t)

Because it's coordinate satisfies the given equation

y = 3x

Let t = 3s, then we have

p(s, t) = P(s, 3s)

Next, we find the distance between P and A

Let the distance be

D = √[(x1 - y1)² + (x2 - y2)²]

Here x1 = 74, x2 = 0, y1 = s, y2 = 3s.

D = √[(74 - s)² + (0 - 3s)²]

= √(s² - 148s + 5476 + 9s²)

= √(10s² - 148s + 5479)

To maximize the distance, we find the derivative of D with respect to s, and set it to 0.

That is dD/ds = 0

dD/ds =

(20s - 148)/2√(10s² - 148s 5479) = 0

=> 20s - 148 = 0

20s = 148

s = 148/20

s = 7.4

Since t = 3s, we have

t = 22.2

So, the point is P(7.4, 22.2)

Finally, we find the distance D.

D = √[(74 - s)² + (0 - 3s)²]

D = √[(74 - 7.4)² + (0 - 3×7.4)²]

D = √(4435.56 + 492.84)

= √4928.4

D = 70.2

Therefore, the distance is 70.2

4 0
3 years ago
Solve for x - 5x-3x-2
balandron [24]
It would be x-2 because you combine like terms
4 0
4 years ago
The study of the organization and collection of data is known as A. mathology B. mathematics C. statology D. statistics​
uysha [10]

Answer:

the answer is D

Step-by-step explanation:

3 0
2 years ago
Choose the graph below that matches the equation: =2/3 + 5
irakobra [83]

It is TRUE, so shade on the SAME side as (0,0)

3 0
2 years ago
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