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3 years ago

I only need the answer to question B

Mathematics

1 answer:

nalin [4]3 years ago

3 0

Answer:

x=5

y=1

Step-by-step explanation:

The substitution method is considered easier because of its simplification.

2x-3y=7 (1)

x+2y=7 (2)

considering equation (2),

x = 7 - 2y (3)

using the value of "x" in (1)

2 (7-2y) - 3y=7

14 - 4y- 3y = 7

14 - 7y = 7

7y = 14 - 7

7y = 7

y = 1 (4)

substituting this value of "y" in (3)

x = 7- 2(1)

x = 5

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lawyer [7]

<h2>Answer: The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ). </h2>

<h3 /><h3>Step-by-step explanation: </h3>

<u>Find the slope of the parallel line</u>

When two lines are parallel, they have the same slope.

⇒ if the slope of this line = - 8

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We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

⇒ y - 11 = - 8 (x - (-1))

∴ y - 11 = - 8 (x + 1)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

since y - 11 = - 8 (x + 1)

y = - 8 x + 3

The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ).

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2 years ago

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3 years ago

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Tcecarenko [31]

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This altitude OC bisects the top angle 45°.

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Now, in Δ AOC,

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Note that, AB = 2 AC.

Therefore, AB = 2x sin 22.5°.

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