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3 years ago

What is the slope and y-intercept of the line represented by 3x=15

Mathematics

2 answers:

Svetach [21]3 years ago

8 0

Answer:

The slope is undefined and there is no y- intercept

Step-by-step explanation:

The line is equivelent to x=5

This is a vertical line so the slope is undefined and there is no y- intercept

ki77a [65]3 years ago

8 0

Answer:

Slope: 0

Y-intercept: 5

Step-by-step explanation:

First, you need to move the equation into slope-intercept form.

Divide both sides by 3.

x = 5

Since there is no number to the right of the y - intercept, we just assume that the slope is 0.

Please mark me Brainliest, I need it to move onto the next level. <3

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Prove :<br>sin²θ + cos²θ = 1<br><br><br>thankyou ~

Gnom [1K]

Answer:

See below

Step-by-step explanation:

Here we need to prove that ,

$\sf\longrightarrow sin^2\theta + cos^2\theta = 1$

Imagine a right angled triangle with one of its acute angle as $\theta$ .

The side opposite to this angle will be perpendicular .
Also we know that ,

$\sf\longrightarrow sin\theta =\dfrac{p}{h} \\$

$\sf\longrightarrow cos\theta =\dfrac{b}{h}$

And by Pythagoras theorem ,

$\sf\longrightarrow h^2 = p^2+b^2 \dots (i)$

Where the symbols have their usual meaning.

Now , taking LHS ,

$\sf\longrightarrow sin^2\theta +cos^2\theta$

Substituting the respective values,

$\sf\longrightarrow \bigg(\dfrac{p}{h}\bigg)^2+\bigg(\dfrac{b}{h}\bigg)^2\\$

$\sf\longrightarrow \dfrac{p^2}{h^2}+\dfrac{b^2}{h^2}\\$

$\sf\longrightarrow \dfrac{p^2+b^2}{h^2}$

From equation (i) ,

$\sf\longrightarrow\cancel{ \dfrac{h^2}{h^2}}\\$

$\sf\longrightarrow \bf 1 = RHS$

Since LHS = RHS ,

Hence Proved !

I hope this helps.

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2 years ago

What conversion factor would you use to solve the problem 37in=_ft

Yakvenalex [24]

1 foot = 12 inches

Conversion factor is 12

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3 years ago

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aev [14]

Answer:

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Step-by-step explanation:

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3 years ago

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RSB [31]

Answer:

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Step-by-step explanation:

I hope this helps

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3 years ago

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natima [27]

Answer:

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Step-by-step explanation:

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