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2 years ago

Expand (p+q)² = p² + 2pq+q²

Mathematics

2 answers:

castortr0y [4]2 years ago

7 0

Answer:

The answer already exists in your question...

That is correct expansion

Schach [20]2 years ago

5 0

Answer:

Step-by-step explanation:

(p+q)^2 = (p+q)*(p+q) = (p+q)*p + (p+q)*q = p^2 + pq + pq + q^2 = p^2 + 2pq + q^2

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In art class,Kerion is coloring a pattern where half of the squares on her paper are being colored blue. Of the blue squares,1/3

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100% of Kerion's paper squares are:
(100% / 100%) = 1
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(1/2) * (1/3) = 1/6
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If the distance traveled is (4s3 - 6s² + 4s + 14) miles and the rate is (s + 1) mph, write an expression, in hours, for the time

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3 years ago

Complete the equation for the standard form of the line that has an x-intercept of –4 and a y-intercept of 3

Kazeer [188]

Answer:

The equation for the standard form of the line will be:

3x + (-4y) = -12

Step-by-step explanation:

Given

x-intercept = –4

y-intercept = 3

The equation of a line in standard form

Ax + By = C

where A is a positive integer and B, C are integers

We know the equation of a line in slope-intercept form

y = mx+b

where m is the slope and b the y-intercept

To calculate the slope, use the gradient formula

m = y₂-y₁ / x₂-x₁

let

(x₁, y₁) = (-4, 0) ∵ x-intercept = (-4, 0)

(x₂, y₂) = (0, 3) ∵ y-intercept = (0, 3)

m = y₂-y₁ / x₂-x₁

= (3 - 0) / (0 - (-4))

= 3 / 4

Thus, the equation in slope-intercept form:

y = mx+b

y = 3/4x + 3

Writing in standard form

Multiply y = 3/4x + 3 by 4

4y = 3x + 12

3x-4y = -12

3x + (-4y) = -12

Thus, the equation for the standard form of the line will be:

3x + (-4y) = -12

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2 years ago

Expand (p+q)² = p² + 2pq+q²​

Expand (p+q)² = p² + 2pq+q²