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wariber [46]
3 years ago
12

Witch order pair is a solution -2x+6y=16. -4x-3y=2

Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0

Answer:

The ordered pair solution is (-2,2)

Step-by-step explanation:

Here, we want to get the ordered pair solution to the system of linear equations

From the first equation, we can have it that;

-2x = 16-6y

Now, we can substitute this into the second equation as follows;

From; -4x -3y = 2

2(-2x) - 3y = 2

2(16-6y) - 3y = 2

32 - 12y - 3y = 2

32-15y = 2

-15y = 2-32

-15y = -30

y = -30/-15

y = 2

Recall;

-2x + 6y = 16

substitute for the value of y

-2x + 6(2) = 16

-2x + 12 = 16

-2x = 16-12

-2x = 4

x = 4/-2

x = -2

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Inessa [10]

Answer:

sometimes

Step-by-step explanation:

There are several ways that dilation is used in real life. Here are several:

In graphic design. I actually do some graphic design, and I use dilation a lot. It is common to dilate photos to fit the space that you want it to fit.

In police work and crime investigation. Detectives and police dilate photos to see smaller details and evidence.

In architecture. It is normal for architects to make a prototype of their design or building. In order to make the building true to the prototype, they must dilate the scale and measurements.

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3 0
1 year ago
Please explain I really need help
velikii [3]

Answer:

1. 1343 years

2. 9 hours

3. 39 years

Step-by-step explanation:

1. Given, half-life of carbon = 5730 years.

∴ λ = 0.693/half-life of carbon = 0.693/5730 = 0.000121

If N₀ = 100 then N = 85

Formula:- N = N₀*e^(-λt)

∴ 85 = 100 * e^(-0.000121t)

∴㏑(-0.85)=-0.000121t

∴ t = 1343 years

2. Given half-life of aspirin = 12 hours

λ = 0.693/12 = 0.5775

Also N₀ = 100 then 70 will disintegrate and N = 30 will remain disintegrated.

∴ 70 = 100 *e^(-0.05775t)

0.70 = e^(-0.05775t)

㏑(0.70) = -0.05775t

∴ t = 9 hours

3.  The population of the birds as as A=A₀*e^(kt)

Given that the population of birds fell from 1400 from 1000, We are asked how much time it will take for the population to drop below 100, let that be x years.

The population is 1400 when f = 0, And it is 1000 when f = 5

We can write the following equation :

1400 = 1000e^(5t).

∴1400/1000 = e^(5k)

∴ k = ㏑(1.4)/5

We need to find x such that 1400/100 = e^(xk)

14 = e^(xk)

∴ x = 39 years

5 0
3 years ago
Find the equation of this line. y= [?]x+[?]
DochEvi [55]

Answer:

y=3x-4

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\displaystyle\frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3

Therefore, the slope of the line is 3. Plug this into y=mx+b:

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<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

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Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into y=3x+b:

y=3x+(-4)\\y=3x-4

I hope this helps!

5 0
2 years ago
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zloy xaker [14]
Hhjhhhu did I need ooo 40
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My name is Ann [436]

Answer:

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6 0
2 years ago
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