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3 years ago

How to make a number line

1 answer:

ioda3 years ago

7 0

A number line is a line that extends infinitely in both directions (marked by arrows) that shows a range of numbers with a consistent distance between increments.

Draw a line
Draw arrows on both sides pointing out
Write the minimum and maximum values on the left and right side repectively
Add appropriate increments with equal distances on the number line

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Help help help help help

Naddik [55]

Answer:

<, -4

Step-by-step explanation:

-8x-20<12

add 20 to both sides

-8x=32

divide both sides by -8

x=-4

3 0

2 years ago

Write a equation of a hyperbola given the foci and the asymptotes

professor190 [17]

Solution:

The standard equation of a hyperbola is expressed as

$\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\text{ \lparen parallel to the x-axis\rparen} \\ \frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ \lparen parallel to the y-axis\rparen} \end{gathered}$

Given that the hyperbola has its foci at (0,-15) and (0, 15), this implies that the hyperbola is parallel to the y-axis.

Thus, the equation will be expressed in the form:

$\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ ----equation 1}$

The asymptote of n hyperbola is expressed as

$y=\pm\frac{a}{b}(x-h)+k$

Given that the asymptotes are

$y=\frac{3}{4}x\text{ and y=-}\frac{3}{4}x$

This implies that

$a=3,\text{ and b=4}$

To evaluate the value of h and k,

$undefined$

3 0

1 year ago

Find the slope of the line that contains the following ordered pairs. Show all work.

Yakvenalex [24]

Answer:

see below

Step-by-step explanation:

slope = (y₂ - y₁) / (x₂ - x₁) <=== formula

= (2 - (-7)) / (18 - 18)

= 9 / 0

= 0 <=== slope

6 0

3 years ago

F(x)=[[2x]] picewise functions

Lena [83]

Answer:

zknj;zhb

Step-by-step explanation:

zJ NKml

6 0

2 years ago

There is a bag filled with 5 blue and 4 red marbles.

Delvig [45]

Answer:

8/18=4/9

Step-by-step explanation:

since it there is 1/6 for red marbles and 5/18 for blue marbles it works because it is 8*9=72 for the denominator and 4*3=12 so it is 12/72=1/6 and for blue it is 5/18 because it is 5*4=20 and 20/72=10/36=5/18 so it is 1/6+5/18=8/18=4/9

4 0

2 years ago