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3 years ago

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What are the points of discontinuity? Are they all removable? Please show your work.

1 answer:

Montano1993 [528]3 years ago

7 0

A) By definition, you have that the period of the y=aCos(bx) is:
Period=2π/|b|
b=2π/3
Period=2π/(2π/3)
Period=3
b) The amplitude of y=aCos(bx) is:
Amplitude=|a|
Amplitude=1/4
c) The mideline represents the horintal line that passes between the maximum and minimum points. In the equation y=aCos(bx) the mideline is: y=0

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Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in s

vagabundo [1.1K]

Answer:

y = -0.2x - 5.8

Step-by-step explanation:

If a line is given in the form y = mx + b, the "m" is the slope.

For the line given y = 5x, the slope is 5

The line that is perpendicular to this will have slope that is "negative reciprocal of that".

So, the perpendicular line will have slope of $-\frac{1}{5}$

So, the Perpendicular Line will have equation:

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Let's find b by replacing x with 6 and y with -7 [the point given]. So we have:

$y=-\frac{1}{5}x+b\\-7=-\frac{1}{5}(6)+b\\-7=-\frac{6}{5}+b\\b=-7+\frac{6}{5}\\b=-5.8$

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3 years ago

Juan invested $100 in a savings account the earns 5% annually. The value, A, of the investment can be calculated using the equat

Karolina [17]

Answer:

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Step-by-step explanation:

Step one:

given

principal= $100

rate= 5%

time = 2 years

Required

The final amount

Step two:

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substituting we have

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3 years ago

Identify the segment bisector of XY.

Ganezh [65]

Given the image attached, the segment bisector that divides XY into two and the length of XY are as follows:

Segment bisector of XY = line n
Length of XY = 6

<em><u>Recall:</u></em>

A line that divides a segment into two equal parts is referred to as segment bisector.

In the diagram attached below, line n divides XY into XM and MY.

Thus, the segment bisector of XY is: line n.

<em><u>Find the value of x:</u></em>

XM = MY (congruent segments)

Substitute

$5x + 8 = 9x + 12$

Collect like terms and solve for x

$5x + 8 = 9x + 12\\5x - 9x = -8 + 12\\\\-4x = 4\\\\x = -1$

XY = XM + MY

$XY = 5x + 8 + 9x + 12$

Plug in the value of x

$XY = 5(-1) + 8 + 9(-1) + 12\\\\XY = -5 + 8 -9 + 12\\\\\mathbf{XY = 6}$

Therefore, given the image attached, the segment bisector that divides XY into two and the length of XY are as follows:

Segment bisector of XY = line n
Length of XY = 6

Learn more here:

brainly.com/question/19497953

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