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Elodia [21]
3 years ago
9

Determine whether the two lines are parallel, perpendicular or neither x-3y=6 y=3x+4

Mathematics
1 answer:
Anna [14]3 years ago
6 0

Answer:

neither

Here's how you know:

first, i'll simplify it so both are in slope-intercept form (y = mx + b).

x-3y=6

-3y = 6 - x

y = (1/3)x - 2

y=3x+4   is already in slope-intercept form, yay :)

these lines are neither parallel nor perpendicular.

The equations of parallel lines have THE SAME SLOPES (y = <em>m</em>x + b --> m would be exactly the same).

In contrast, perpendicular lines have NEGATIVE RECIPROCAL SLOPES (y = <em>m</em>x + b --> m would be <em>-1/m</em>).

<u><em>--> since the slopes of these match neither of these definitions, we know it must be neither.</em></u>

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The value of 2 x 10¹⁴ is___times the value of 4 x 10⁶
Lunna [17]

Step-by-step explanation:

2 x 10¹⁴ = 200 000 000 000 000 while

4 x 10⁶ = 4 000 000

so 200 000 000 000 000 000 / 4 000 000 = 50 000 000

that means the value of 2 x 10¹⁴ is 5 x 10⁷ times the value of 4 x 10⁶

8 0
3 years ago
a local parts shop buys a machine that costs $500,000. its value depreciates exponentially each year by 10%. what is the machine
jeka94
Hello!

Answer:

$295.295

Explanation:

Of the statement, we have that the price of the machine decreased 10% every year exponentially, so in the first year it real value drops to 90% of the costs. For 5 years, It can be expressed and simplified by the following equation:

We can't use that the percent drop as a percent itself, so we are going to divide 90% by 100%, and it will give us an entire number.

\frac{90}{100}=0,9 \\ \\ Value=Costs.(0.9)^{years}


By substituting we have:

Value=500000.(0.9)^{5}

Value: $295.245


Have a nice day!



8 0
2 years ago
Write 1.4 over 7 in simplest form
Nana76 [90]
2/10 because 0.7/7 is equal to one tenth, so 1.4/7 is equal to 2/10
7 0
2 years ago
A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round answers to nearest tent
AlexFokin [52]

Answer:

39.275

Step-by-step explanation:

the diameter of the semicircle is 10

A semicircle is half a circle, and a quarter circle is 1/4 of a circle.

Perimeter of a semicircle is ¶d/2

= 3.142 x 10/2 = 3.142 x 5 = 15.71

For 2 semicircles that will be 15.71 x 2 = 31.42

For the quarter circle, perimeter is ¶d/4 = 3.142 x 10/4 = 3.142 x 2.5 = 7.855

Total perimeter = 31.42 + 7.855 = 39.275

5 0
3 years ago
Hannah uses a store gift card to pay for 3 pair of pants priced at $27 each. What is the change in
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Answer:

If the gift card is $30 the remaining change is 3 dollars

5 0
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