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3 years ago

Write: y - 6 = -12(x+4) in slope intercept form-

Mathematics

1 answer:

Artist 52 [7]3 years ago

7 0

Answer:

y= -12x - 42

Step-by-step explanation:

slope intercept form is y=mx +b

y-6 = -12(x+4) simplify

y - 6 = -12x - 48 separate y by adding 6 to both sides of the equation

y = -12x - 42

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Add the two expressions.<br><br> −2.4n−3 and −7.8n+2

Sphinxa [80]

Answer:

-10.2n - 1

Step-by-step explanation:

We have two expressions in variable n and we have to add the two expressions.

An important thing to note is that only like terms can be added. i.e. the term with "n" can only be added or subtracted to the term with "n". Similarly a constant can only be added or subtracted to a constant.

$(-2.4n-3)+(-7.8n+2)\\=-2.4n-3-7.8n+2\\=-2.4n-7.8n-3+2\\=-10.2n-1$

Thus, the two given expressions add up to -10.2n - 1

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3 years ago

A carpenter is constructing staircase in a house. The distance from the floor to the basement is 10.8 feet. The staircase will b

konstantin123 [22]

Answer:

$\theta = 40.59^\circ$

Step-by-step explanation:

Given

The question is illustrated with the attached image

Required

Find $\theta$

To do this, we use sine formula

i.e.

$\sin(\theta) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(\theta) = \frac{10.8}{16.6}$

$\sin(\theta) = 0.6506$

Take arc sin

$\theta = \sin^{-1}(0.6506)$

$\theta = 40.59^\circ$

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3 years ago

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vovikov84 [41]

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