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2 years ago

Simplify the expression

Mathematics

1 answer:

Charra [1.4K]2 years ago

8 0

Answer:−28−98i

Step-by-step explanation:

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The graphs of the equation y = 4x + 1 and y - kx = 10 are perpendicular when k = _______?

Ann [662]

Answer:

$k=-\frac{1}{4}$

Step-by-step explanation:

we have

Line 1

$y=4x+1$

Equation in slope intercept form

The slope is equal to

$m_1=4$

Line 2

$y-kx=10$

$y=kx+10$

Equation in slope intercept form

The slope is equal to

$m_2=k$

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

$m_1*m_2=-1$

substitute

$(4)(k)=-1$

$k=-\frac{1}{4}$

3 0

3 years ago

What is 23% of 20???????

Elan Coil [88]

It is 4.6

hope you are satisfied with your answer

6 0

2 years ago

Read 2 more answers

What is 9c+90<-27?????

antoniya [11.8K]

<h3>Answer: c < -13</h3>

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Work Shown:

9c + 90 < -27

9c + 90 - 90 < -27 - 90 .... see note 1

9c < -117

9c/9 < -117/9 ... see note 2

c < -13

-----------

note 1: I'm subtracting 90 from both sides to undo the "plus 90" that is happening on the left side

note 2: I divided both sides by 9 to undo the multiplication. The expression 9c is the same as 9*c or "9 times c". The inequality sign will <u>not</u> flip as we are dividing both sides by a positive number.

5 0

2 years ago

A population of 249 birds increases at a rate of 16% annually. jewel writes and exponential function of the form f(x)=abc to rep

Ad libitum [116K]

Answer:

a = 249 and b = 1.16

Step-by-step explanation:

Consider the provided information.

The exponential function for growth is: $y=a(1+ r)^x$

Here, a is the initial value and r is the rate of change.

It is given that the number of birds is 249.

It means a = 249

The rate is given 16%

r=0.16

Put the value of a and r in the above formula.

$y=249(1+0.16)^x$

$y=249(1.16)^x$

Now we will compare it with the exponential function form $y=ab^x$

Therefore, a = 249 and b = 1.16

9 0

3 years ago

What is the degree of the polynomial?

nydimaria [60]

Answer:

Quartic (4)

Step-by-step explanation:

The highest degree is represented by the 2z^4, which is a cubic function. Therefore, the degree of the polynomial is 4 and it is quartic.

5 0

3 years ago

Read 2 more answers