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3 years ago

What is the equation of the line (in point-slope form) that is parallel to y+2=−7(x+3) and passes through the point (1,4)?

Mathematics

1 answer:

bulgar [2K]3 years ago

4 0

Answer:

y−4=−7(x−1)

Step-by-step explanation:

The point-slope form of the equation for a line with slope m through point (h, k) is ...

y -k = m(x -h)

Your given line has a slope of -7. The parallel line will have the same slope.

So, you want to fill in the above form with m=-7, (h, k) = (1, 4):

y -4 = -7(x -1)

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Step-by-step explanation:

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1 year ago

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At 3pm, the length of the shadow of a thin vertical pole standing on level ground is the same as the height of the pole. A while

aliya0001 [1]

Answer: The height of the pole is 175.97 ( approx )

Step-by-step explanation:

Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is $\theta$

Thus, by the question,

$tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}$

$\implies tan\theta = \frac{x}{x}$ ( at 3pm the height of shadow = height of the pole)

$\implies tan\theta = 1$

$\implies \theta = 45^{\circ}$

Again, according to the question,

When the angle of elevation is $(\theta - 12^{\circ})$ ,

The height of shadow = x + 95,

$\implies tan(45-12)^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x$

$\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}$

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3 years ago

What is a geometric sequence and arithmetic sequence?<br><br> ~MUST EXPLAIN~

Vadim26 [7]

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An arithmetic sequence is one that involves multiplication or division. For example, "Jon receives 5 dollars each week. If he waits for 5 months, how much money will he have? Honestly, all you have to do is think about the formula. x * 5. x would be the number of weeks.

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2 years ago

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3 years ago

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Alborosie

Answer:

x=18

Step-by-step explanation:

Add up all the angles and then equal them to 180

6x+3x+x=180 Simplify!

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x=18

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3 years ago