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lesantik [10]
2 years ago
11

Find a point-slope form for the line with slope 1/5 and passing through the point (-4,-9).

Mathematics
1 answer:
sattari [20]2 years ago
3 0

Answer:

y + 9 = \frac{1}{5}(x + 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = \frac{1}{5} and (a, b) = (- 4, - 9) , thus

y - (- 9) = \frac{1}{5}(x - (- 4) ) , that is

y + 9 = \frac{1}{5}(x + 4)

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Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours she works in a day. For every extra hour she
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Answer:

The expression giving her net earnings for a day with more than 8 hours worked is X = 80 + 15H, where H means "extra hours worked".

Step-by-step explanation:

Given that Daisy works at an ice-cream parlor earning $10 per hour for the first 8 hours she works in a day, and 1.5 times her hourly wage for every extra hour she works, in order to know how much can she make in a day working more than 8 hours the following equation has to be made:

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3 years ago
QuestiuI4
4vir4ik [10]

Answer:

The new volume is 14,850cm³

Step-by-step explanation:

Given

Volume of a rectangular prism = 550cm

Required

Value of volume when the dimensions are tripled.

The volume of a rectangular prism is calculated using the following formula.

V = lbh

<em>When Volume = 550, the formula is written as follows</em>

550 = lbh

<em>Rearrange</em>

lbh = 550

However, when each dimension is tripled.

This means that,

new length = 3 * old length

new breadth = 3 * old breadth

new height = 3 * old height

<em>Let L, B and H represent the new length, new breadth and new height respectively</em>

In other words,

L = 3l

B = 3b

H = 3h

Calculating new volume

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Substitute, 3l for L, 3b for B and 3h for H;

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Recall that lbh = 550

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V = 27 * 550

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Hence, the new volume is 14,850cm³

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3 years ago
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