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2 years ago

Any line with a slope of zero is parallel to the

Mathematics

2 answers:

Ugo [173]2 years ago

8 0

Answer:

x-axis

Step-by-step explanation:

a line in the cartesian plane is defined by the general equation:

$y=mx+b$

where $m$ is the slope and $b$ is the y-intercept, so for a given $x$ value this return a value for $y$ .

When the slope of a line is equal to zero ( $m=0$ ) we have:

$y=b$ ( $y$ has always the same constant value)

which means that the value of $y$ for any given $x$ is the same, we have a constant function, that is represented in the plane as a horizontal line.

So when the slope is zero the line is a horizontal line, which is parallel to the x-axis since the x-axis is also a horizontal line.

joja [24]2 years ago

4 0

Answer:

x-axis

Step-by-step explanation:

A slope of zero means a line is a horizontal line. This would be parallel to the x-axis, since it runs horizontally.

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1. (x+y)2 when x= −3, y= 14

Vikentia [17]

Answer:

$(x+y)2\\ (-3+14)2\\ -6+28\\ 22\\ \\$

$-2x+17\\ -2(8)+17\\ -16+17\\ 1$

$10-3m\\ 10-3(5)\\ 10-15\\ -5$

6 0

3 years ago

Write the set of real numbers x less than 6 in set builder notation

maksim [4K]

Answer:

{x ∈ R: x<6}

Step-by-step explanation:

Given

x is a real number
x is less than 6

Required

Write the set using set builder notation

The very first thing to do is to list out the range of x, using inequalities;

x is less than 6 implies that -infiniti < x < 6

The next step is to translate this to set builder. This is done as follows

x ∈ R - > This means that x is a real number

x < 6 -> where x is less than 6.

Bringing these two together, it gives:

{x ∈ R: x<6}

Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation

6 0

2 years ago

How to solve 0=4+n/5?

Alchen [17]

Let's solve your equation step-by-step.
0=4+n/5
Step 1: Simplify both sides of the equation.0=1/5n+4
Step 2: Flip the equation.1/5n+4=0
Step 3: Subtract 4 from both sides.1/5n+4−4=0−4
1/5n=−4
Step 4: Divide both sides by 1/5.1/5n/1/5 =−4/15n=−20
Answer:n=−20

8 0

2 years ago

Read 2 more answers

Your uncle is currently four times as old as you are. In five years, your uncle will be three times as old as you. What is your

sertanlavr [38]

Answer:

your uncle will always be 4 times as old as you if he is currently 4 times as old as you

Step-by-step explanation:

kinda self explanatory so i think its a trick question haha

8 0

2 years ago

The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers

gizmo_the_mogwai [7]

Yes. The situation is defined by a linear function.

Solution:

Given, The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers earnings per hour.

Is this situation defined by a linear function?

Yes, the above given situation is defined by a linear function.

Now, let us see the linear equation for above situation

Let the number of hours worked by manager be "x", and cost per hour be "c" and total salary be "y"

Then, total salary is given as,

Total salary = $ 30 bonus + number of hours worked $\times$ cost per hour

$\rightarrow \mathrm{y}=30+\mathrm{x} \times \mathrm{c}\\\\ \rightarrow \mathrm{y}=\mathrm{c} \mathrm{x}+30$

Above equation is a linear equation as "c" is constant ( cost per hour )

Hence, the given situation can be defined by linear function.

5 0

3 years ago