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andreev551 [17]
3 years ago
8

Slope 5/6, passes through (12,4)

Mathematics
2 answers:
devlian [24]3 years ago
8 0

Answer:

y= 5/6x -6

Step-by-step explanation:

m =\frac{5}{6} \\(12,4)=(x_1,y_1)\\\\

Substitute values into point slope form

y-y_1 =m(x-x_1)\\\\y - 4 = \frac{5}{6} (x-12)\\\\y-4 = \frac{5}{6} x -10\\\\y=\frac{5}{6} x -10+4\\\\y = \frac{5}{6} x -6

iris [78.8K]3 years ago
4 0
Wow i’ve been skiing but a have a great time
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Identify the function family to which f(x) = 8 belongs.
zloy xaker [14]

Answer:

f(x)  = 8  is a constant function.

Step-by-step explanation:

<u>Constant Function</u>: A function is said to be constant if its value is independent of any variable.

here, f(x) = K ;  for some arbitrary constant K for all x.

Here, the given function family is f(x) = 8.

So for all the values of x , the function is independent of x.

Hence, f(x) is a constant function.

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3 years ago
Reflect quadrilateral SQRT over the y-axis. Then translate the new quadrilateral 3 units to the right. What are the coordinates
wel

Answer: S(-5;3) Q(-2;2) R(-3;-2) T(-6;-1)

When reflected over the y-axis, their x values will change sign

S(5;3) Q(2;2) R(3;-2) T(6;-1)

Translate 3 units to the right, their x values will increase by 3

S(8;3) Q(5;2) R(6;-2) T(9;-1)

Step-by-step explanation:

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3 years ago
Read 2 more answers
You're uncle is having a new roof installed in his house. The roof is a square pyramid. The side length of the base of the roof
Kaylis [27]

Answer:

The height of the roof in his house is 72.43 ft.

Step-by-step explanation:

The volume of square pyramid is :

V=\frac13 Bh

B= area of the base.

h= the height.

Given that,

The roof is a square pyramid in shape. The volume of the roof is 18929.333 cubic feet.

The side length of the base of the roof is 28 feet.

Since the base of the roof is square in shape.

The area of the square is = side²

The area of the base is =(28×28) square feet

                                       =784  square feet

Assume the height of the roof be h ft.

Then, the volume of the roof is = \frac13 Bh

                                                   =\frac13 \times 784 \times h square feet.

According to the problem,

\frac13 \times 784 \times h= 18929.3333

\Rightarrow h=\frac{18929.3333\times 3}{28}

\Rightarrow h\approx 72.43 ft.

The height of the roof in his roof is 72.43 ft.

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3 years ago
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The answer should be A. a decrease in the availability of food resources, and C. conditions that limit the availability of shelter resources, if there are two correct answer choices.

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zales bought a tea set for $1400. zales wants to mark up the set 55% of the selling price. the selling price of the tea set shou
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