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zimovet [89]
3 years ago
12

Use the coordinates of the labeled point to find the point slope equation of the line

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
4 0

Answer:

D. y + 1 = -2(x - 2)

Step-by-step explanation:

Point-slope form equation is given as y - b = m(x - a), where,

(a, b) = a point of the graph.

m = slope of the graph

Find the slope of the graph:

Slope = \frac{rise}{run} = \frac{-4}{2} = -2

Using the point (2, -1) and the slope, m, = -2, we can derive the equation in point-slope form by substituting a = 2, b = -1, and m = -2 into y - b = m(x - a).

✅The equation would be:

y - (-1) = -2(x - 2)

y + 1 = -2(x - 2)

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3 years ago
200 years ago, as it became more and more evident that the
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Answer:

The American population was 20% of the British population.

Step-by-step explanation:

Let us call A the american population, B the British population before the migration, and x the population that migrated from America to Britannia.

Now, the population x that migrated was 20% of the american population:

(1).\: \: x = 0.2A,

and the same population x increase the British population by 4%:

x+B = 1.04B \\\\ (2). \:\:x = 0.04B.

Combining equation (1) and (2) we get:

0.2A = 0.04B

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Thus, the American population was 20% of the British population.

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3 years ago
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3 years ago
4, 21, 38, common difference
LUCKY_DIMON [66]

Answer:

17

Step-by-step explanation:

  1. 38 - 21 = 17
  2. 21 - 4 = 17
  3. The difference between each pair of numbers above is 17, so that is the common difference.

I hope this helps!

7 0
3 years ago
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What is the coefficient of X^2Y^2 in the expansion of (x+y)^4
nata0808 [166]

Answer:

6

Step-by-step explanation:

We want to expand this; (x + y)⁴

This can be written as;

(x + y)² × (x + y)²

This gives;

(x² + 2xy + y²) × (x² + 2xy + y²)

This gives;

x²(x² + 2xy + y²) + 2xy(x² + 2xy + y²) + y²(x² + 2xy + y²) = x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴

Simplifying gives;

x⁴ + 4x³y + 4xy³ + 6x²y² + y⁴

Thus, the coefficient of x²y² is 6

3 0
2 years ago
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