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4 years ago

There once was a

2 answers:

4 0

Leave the goose on the bank and then the man takes the corn with him. He allows the dog to cross the river by swimming across the lake. He then leaves the corn with the dog and goes to fetch the goose.

r-ruslan [8.4K]4 years ago

3 0

I am pretty sure the only way to do this is:

• To bring the corn first

• To bring the goose second

• To bring the dog third

Hope this helped!

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Given points F(3,1), G(5,2) H(2,4), and J(1,6)

Karo-lina-s [1.5K]

The slopes of perpendicular lines are opposite reciprocals

The true statement is that segments FG and HJ are perpendicular

<h3>How to determine the relationship between the segments</h3>

The coordinates of the points are given as:

F = (3,1)

G = (5,2)

H = (2,4)

J = (1,6)

Start by calculating the slopes of FG and HJ using the following slope formula

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$FG = \frac{2 -1}{5 -3}$

$FG = \frac{1}{2}$

Also, we have:

$HJ = \frac{6 - 4}{1 - 2}$

$HJ = \frac{2}{-1}$

$HJ = -2$

To determine the relationship, we make use of the following highlights

Parallel lines have the same slope
The slopes of perpendicular lines are opposite reciprocals

From the computation above, we have:

The slopes of both lines are not equal
The slopes are opposite reciprocals i.e. 2 = -1(-1/2)

Hence, segment FG and HJ are perpendicular

Read more about perpendicular lines at:

brainly.com/question/2531713

7 0

3 years ago

Pls help me with this :((

Mazyrski [523]

Sin16=x/25
cos16=y/25

3 0

3 years ago

Please help I will give Brainliest please!

WITCHER [35]

Part (a)

The domain is the set of allowed x inputs of a function.

The graph shows that x = 0 is not allowed because of the vertical asymptote located here. It seems like any other x value is fine though.

<h3>Domain: set of all real numbers but $x \ne 0$ </h3>

To write this in interval notation, we can say $(-\infty, 0) \cup (0, \infty)$ which is the result of poking a hole at 0 on the real number line.

--------------

The range deals with the y values. The graph makes it seem like it stretches on forever in both up and down directions. If this is the case, then the range is the set of all real numbers.

<h3>Range: Set of all real numbers</h3>

In interval notation, we would say $(-\infty, \infty)$ which is almost identical to the interval notation of the domain, except this time of course we aren't poking at hole at 0.

=======================================================

Part (b)

<h3>The x intercepts are x = -4 and x = 4</h3>

We can compact that to the notation $x = \pm 4$

These are the locations where the blue hyperbolic curve crosses the x axis.

=======================================================

Part (c)

<h3>Answer: There aren't any horizontal asymptotes in this graph.</h3>

Reason: The presence of an oblique asymptote cancels out any potential for a horizontal asymptote.

=======================================================

Part (d)

The vertical asymptote is located at x = 0, so the equation of the vertical asymptote is naturally x = 0. Every point on the vertical dashed line has an x coordinate of zero. The y coordinate can be anything you want.

<h3>Answer: x = 0 is the vertical asymptote</h3>

=======================================================

Part (e)

The oblique or slant asymptote is the diagonal dashed line.

It goes through (0,0) and (2,6)

The equation of the line through those points is y = 3x

If you were to zoom out on the graph (if possible), then you should notice the branches of the hyperbola stretch forever upward but they slowly should approach the "fencing" that is y = 3x. The same goes for the vertical asymptote as well of course.

<h3>Answer: Oblique asymptote is y = 3x</h3>

5 0

3 years ago

Nine times the product of a negative two and a number

Aleksandr-060686 [28]

The statement written as a simplified mathematical expression is -18x

<h3>Writing mathematical expression</h3>

From the question, we are to write the given statement as a mathematical expression

The given expression is,

"<em>Nine times the product of a negative two and a number</em>"

Let the number be x

Thus,

The product of negative 2 and a number means

-2 × x = -2x

Then,

Nine times the product of a negative two and a number is

9 × -2x = -18x

Hence, the statement written as a simplified mathematical expression is -18x

Learn more on Writing mathematical expressions here: brainly.com/question/4344214

#SPJ1

7 0

2 years ago

Find the length of each segment. SEE EXAMPLES 1 AND 2

wlad13 [49]

The lengths of the line segments are summarized in the following list:

DF = 3
DE = 8 / 3
FG = 3
FH = 9 / 2
GH = 3 / 2
EH = - 11 / 6

<h3>How to calculate the length of a line segment based on point set on a number line</h3>

Herein we have a number line with five points whose locations are known. The length of each line segment is equal to the arithmetical difference of the coordinates of the rightmost point and the leftmost point:

DF = - 1 - (- 4)

DF = 3

DE = (- 1 - 1 / 3) - (- 4)

DE = 3 - 1 / 3

DE = 8 / 3

FG = 2 - (- 1)

FG = 3

FH = (3 + 1 / 2) - (- 1)

FH = 4 + 1 / 2

FH = 9 / 2

GH = (3 + 1 / 2) - 2

GH = 1 + 1 / 2

GH = 3 / 2

EH = (3 + 1 / 2) + (- 1 - 1 / 3)

EH = - 2 + (1 / 2 - 1 / 3)

EH = - 2 + 1 / 6

EH = - 11 / 6

To learn more on lengths: brainly.com/question/8552546

#SPJ1

7 0

2 years ago