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2 years ago

What is the slope-intercept form of 12x + 4y = 32?

Mathematics

1 answer:

valentina_108 [34]2 years ago

5 0

Answer:

D. y=-3x+8

Step-by-step explanation:

first, get the 12x on the other side of the equation

12x+4y-12x=32-12x

4y=-12x+32

divide the equation by four

y=-3x+8

Hope this helps!

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I need help on this plz i don’t understand the question

AnnZ [28]

We know that the area of a circle in terms of π will be πr². However the area with respect to the diameter will be a different story. The first step here is to find a function relating the area and diameter of any circle --- ( 1 )

For any circle the diameter is 2 times the radius,

d = 2r

Therefore r = d / 2, which gives us the following formula through substitution.

A = π(d / 2)² = πd² / 4

Hence the area of a circle as the function of it's diameter is A = πd² / 4. You can also say f(d) = πd² / 4.

Now we can substitute " d " as 4, solving for the area ( A ) or f(4) --- ( 2 )

f(4) = π(4)² / 4 = 16π / 4 = 4π - This makes the area of circle present with a diameter of 4 inches, 4π.

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2 years ago

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matrenka [14]

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3 years ago

Definitions given.

Yuki888 [10]

The pitch of the roof is given by the ratio of the rise to the run of the roof, which is the slope of the rafter

$The \ pitch \ of \ the \ roof \ is \ \mathbf {\dfrac{6}{13}}$

Please find attached the simple diagram of the house with all measurements labeled

The reason the above value for the pitch and the diagram are correct are as follows:

The given parameters are;

Width of the section of the house on which the gable of the roof is to be placed = 50 feet

Length of the over hang on the sides of the roof = 1 foot each

Total span of the roof = 52 feet

Horizontal length of each rafter, the run = 26 feet

The height of the ridge above the top of the frame, the rise = 12 feet

Required:

To find the pitch of the roof

To draw a diagram of the house showing measurements

Solution:

$Pitch = \dfrac{Rise}{Run}$

$Pitch \ (slope) \ of \ roof = \dfrac{12}{26} =\dfrac{6}{13}$

Please find attached the diagram of the house showing the measurements for the roof parameters and the section of the house where the gable roof is to be placed

Learn more about finding the slope of a line here:

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