Please help:) thank you

Arrange the hyperbolas in increasing order of the horizontal widths of their asymptote rectangles.

almond37 [142]

The increasing order of the horizontal widths of their asymptote rectangles is dependent on the values gotten from y = ± x.

<h3>What is a Hyperbola?</h3>

This is defined as a two-branched open curve formed by the intersection of a plane perpendicular to the bases of a double cone.

The rectangular hyperbola has two asymptotes which are defined as y = ± x in this scenario.

Read more about Hyperbola here brainly.com/question/3351710

#SPJ1

8 0

1 year ago

.At a certain animal shelter, the ratio of puppies to adult dogs is 7 to 4. This week there are a total of55 dogs in the shelter

Advocard [28]

Answer:

There are 35 adult dogs and 20 puppies

Step-by-step explanation:

<em>Represent the puppies with P and the Adult dogs with A</em>

Given

$A : P = 7 : 4$

Dogs = 55

Required

Determine A and P

First, we need to sum the ratios;

$Total = A + P$

$Total = 7 + 4$

$Total = 11$

Adult Dogs is then calculated as follows;

$A = \frac{A\ Ratio}{Total} * Dogs$

$A = \frac{7}{11} * 55$

$A = \frac{385}{11}$

$A = 35$

Puppies is calculated by subtracting the number of adult dogs from the total

$P = Dogs - Adult\ Dogs$

$P = 55 - 35$

$P = 20$

<em>Hence;</em>

<em>There are 35 adult dogs and 20 puppies</em>

3 0

2 years ago

Explain how to graph the given piecewise-defined

Pavlova-9 [17]

The Piecewise -Defined function and how it is graphed is given below..

<h3>What is the explanation of how the Piecewise -Defined function is graphed?</h3>

Given the function in the attached image,

The Graph of f(x) = -x + 3 is drawn for x less than 2 because x is bounded.

The Graph of f(x) = 3 is draw for x greater than and equal to 2 and less than 4 because x is bounded.

The Graph of f(x) = 4 - 2x is draw for x greater than equal to 4 because x is bounded.

See the attached Graph for better understanding.

f(x) = -x + 3 is coded purple.
f(x) = 3 is coded orange.
f(x) = 4 - 2x is coded green.

Learn more about Piecewise -Defined function:
brainly.com/question/18859540
#SPJ1

5 0

1 year ago

Evaluate the polynomial 6x - y for x = 3 and y =4

Mashcka [7]

6 x 3 is 18. y is equal to 4. 18 minus 4 is 14. The answer is 14.

8 0

2 years ago

Find the equation of the line that is perpendicular to the line y = (-1/3)x -1 and passes through the point (1, 5)?

Anit [1.1K]

bearing in mind that perpendicular lines have negative reciprocal slopes, so

$\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}~\hspace{10em}\stackrel{slope}{y=\stackrel{\downarrow }{-\cfrac{1}{3}}x-1} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{1}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{3}{1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{3}{1}\implies 3}}$

so we're really looking for a line whose slope is 3 and runs through (1,5)

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{5})~\hspace{10em} slope = m\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-5=3(x-1) \\\\\\ y-5=3x-3\implies y=3x+2$

4 0

2 years ago