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xenn [34]
2 years ago
14

A roof drops 6 feet for every 3 feet forword,determine the slope of the roof the slope can be positive or negative

Mathematics
1 answer:
dalvyx [7]2 years ago
8 0

Answer:

The slope is -2

Step-by-step explanation:

Since the roof is decreasing in height as it goes forward, I know that the slope must be negative. The equation to find the slope is rise/run. The vertical change, or the rise, is -6 feet, so that value goes on top of the fraction. The horizontal value, or the run, is 3 feet so that goes on the bottom of the fraction.

Now our fraction is \frac{-6}{3}

If you simplify that fraction, you'll get -2.

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If x+3 is a factor of x^3-x^2-10x+A. What is the value of A?
Leno4ka [110]

Answer:

A = 6.

Step-by-step explanation:

Let a denote a constant (a number, rather than a variable like x.)

Let f(x) denote an expression about x (for example,

By the factor theorem, if (x - a) is a factor of f(x), then f(a) = 0. In other words, if all mentions of x in the expression f(x)\! are replaced with a, then the expression should evaluate to zero.

(x + 3) is equivalent to (x - (-3)). That is: a = -3.

Replace all mentions of x in x^3 - x^2 - 10\, x + A by (-3) to get:

(-3)^3 - (-3)^2 - 10\times (-3) + A.

That should evaluate to zero. Therefore: -27 - 9 + 30 + A = 0. Solve for A to get A = 6.

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3 years ago
1 . If x = 3+2√2, then find the value of x- 1-x
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Step-by-step explanation:

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5 0
2 years ago
A car dealership has 24ft of dividers with which to enclose a rectangular play sace
alina1380 [7]

Answer:

A)  Area = A(x) = 24x - x^2

B)  Domain = {x < 24}

Step-by-step explanation:

<u>Complete Question:</u>

A car dealership has 24ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.  

A) express the area of the play space as a function of x

B) find the domain of the function

Solution:

A)

The rectangle has area of length * width

length is x

so width will be 24 - x

Hence, the area will be:

Area = x(24 - x)

Area = A(x) = 24x - x^2

B)

Domain is the set of x values that make the function defined.

The domain will be all values less than 24.

Because if you take 24, the area would be 0 [doesn't make sense]

if you take anything over 24, the area would be negative [not possible]

Hence, the domain is:

Domain = {x < 24}

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3 years ago
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mina [271]
Y+3=4(x-1)
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3 years ago
For each equation determine whether it is linear.
Elan Coil [88]
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