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malfutka [58]
3 years ago
7

A video game designer places an anthill at the origin of a coordinate plane. A red ant leaves the anthill and moves along a stra

ight line to (1, 1), while a black ant leaves the anthill and moves along a straight line to (−1, −1). Next, the red ant moves to (2, 2), while the black ant moves to (−2, −2). Then the red ant moves to (3, 3), while the black ant moves to (−3, −3), and so on. Complete the explanation of why the red ant and the black ant are always the same distance from the anthill. At any given moment, the red ant's coordinates may be written as (a, a) where a > 0. The red ant's distance from the anthill is (blank) . The black ant's coordinates may be written as (−a, −a) and the black ant's distance from the anthill is (blank) . This shows that at any given moment, both ants are (blank) units from the anthill.
Mathematics
1 answer:
REY [17]3 years ago
8 0

Answer:use calculator to divide the variables and use the countains as a providence

Step-by-step explanation:

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.<br><br> y = x2 + 3<br> y = x + 5
ddd [48]
I assume you mean x squared in the first equation

Because both are equal to y, they are equal to each other so x + 5 = x^2 +3
If we then move everything over to one side, we get x^2 - x - 2 = 0

Then factorise it to (x-2)(x+1) = 0
And solve both parts separately

x + 1 = 0
x = -1

x-2 = 0
x = 2

Sub both values into the simplest equation in this case y=x+5
to get y = 4 and y = 7
7 0
1 year ago
Someone pls help me i really need this
lukranit [14]
Y=1\2x.
hopes this helps you
5 0
3 years ago
If 2x^3=y, then log y equals
Svetllana [295]

Answer:

log 2 + 3 logx

Step-by-step explanation:

log 2x^3

log2+logx^3

log^2+3logx

4 0
2 years ago
If you help I will give you brainliest
hammer [34]

9514 1404 393

Answer:

  5 miles

Step-by-step explanation:

Time/speed/distance problems can be worked a number of ways. Here, we want to know the distance walked. We know the total time and the total distance and the two different speeds. So, we can use a variable to represent the value we want to know: w = distance walked (in miles).

The total time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours.

The total time is the sum of times for the two parts of the trip: walking and riding.

  walking time = walking distance/walking speed

  = w/3

  riding time = riding distance/riding speed

  = (20-w)/30

The total time is that given above:

  w/3 +(20-w)/30 = 13/6

  10w +(20 -w) = 65 . . . . . . . . multiply by 30

  9w = 45 . . . . . . . . . . . . subtract 20, collect terms

  w = 5 . . . . . . . . . . . divide by 9

The girl walked 5 miles.

8 0
3 years ago
Explain why a quadratic function is a reasonable model for revenue. choose the correct answer below.
Andrei [34K]
Revenue = Sales Volume (x) times Price. Price depends on volume sold: the more you are willing to sell per week, the lower your average price will have to be to get them all sold. 

<span>eg, if there are a fixed number of buyers with a variety of incomes, then you might be able to sell the first 10 per month for £30 each through the up-market High Street jeweller. If you want to sell an extra 10 per month you might have to reduce the price to £15 and sell them through Asda/WalMart. And to move another 10 per month you may have to sell them from a street stall at £5 each! </span>
5 0
3 years ago
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