3 years ago

Which equation best describes the graph

Mathematics

2 answers:

Harlamova29_29 [7]3 years ago

5 0

The one you selected is correct y=-1/3+3 because rise over run

sergij07 [2.7K]3 years ago

4 0

Answer:

The one you have selected is correct. Its the first one. y= -1/3x + 3

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I need help finding bc and ac

Vikki [24]

<h3>Given :</h3>

AB = 7
∠A = 45°

BC = ?
AC = ?

<h3>Solution :</h3>

From point A,

$\bf tan A = \dfrac{perpendicular}{base}$

$\bf \implies tan A = \dfrac{BC}{AB}$

$\bf \implies tan A = \dfrac{BC}{7}$

Now, we are given ∠A = 45°

$\bf \implies tan A = tan 45^{\circ}$

$\bf \implies tan 45^{\circ} = \dfrac{BC}{7}$

Now, we know that tan45° = 1

$\bf \implies 1 = \dfrac{BC}{7}$

$\bf \implies 1 \times 7 = BC$

$\bf \implies BC = 7$

Now, by Pythagoras' theorem,

AC² = BC² + AB²

$\bf \implies AC^{2} = (7)^{2} + (7)^{2}$

$\bf \implies AC^{2} = 49 + 49$

$\bf \implies AC^{2} = 98$

$\bf \implies AC = \sqrt{98}$

$\bf \implies AC = 7 \sqrt{2}$

$\pink{\bf \therefore \: values \: of \: AC = 7 \sqrt{2} \: and \: BC = 7}$

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Andreas93 [3]

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Hope this helps. - M

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