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jonny [76]
4 years ago
13

The designer also programs a bird with a path that can be modeled by a quadratic function. The bird starts at the vertex of the

path at (0, 20) and passes through the point (10, 8). What is the slope of the line that represents the turtle's path?
Mathematics
1 answer:
Nady [450]4 years ago
6 0

Answer:

-1.2

Step-by-step explanation:

Given that the designer also programs a bird with a path that can be modeled by a quadratic function.

The bird starts at the vertex of the path at (0, 20) and passes through the point (10, 8).

If we treat this curve as line joining these two points then we can find the slope by the formula

Slope = change in y coordinate/change in x coordinate

Here the points given are

(0,20) and (10,8)

Change in y coordinate = 8-20 = -12\\Change in x coordinate = 10-0 = 10\\Slope = -1.2

Slope of the line that represents the turtle's path

=-1.2

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Answer:

(-4,3)

Step-by-step explanation:

I graphed this on desmos

7 0
3 years ago
3y=11-2x, 3x=y-11 linear equation solve using the algebraic method check solution
tamaranim1 [39]

Answer:

(x, y) = (- 2, 5)

Step-by-step explanation:

given the 2 equations

3y = 11 - 2x → (1)

3x = y - 11 → (2)

Rearrange (2) expressing y in terms of x

add 11 to both sides

y = 3x + 11 → (3)

Substitute y = 3x + 11 into (1)

3(3x + 11) = 11 - 2x

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11x + 33 = 11 ( subtract 33 from both sides )

11x = - 22 ( divide both sides by 11 )

x = - 2

Substitute x = - 2 in (3) for corresponding value of y

y = (3 × - 2) + 11 = - 6 + 11 = 5

As a check

substitute x = - 2, y = 5 into (1) and (2) and if the left side equals the right side then these values are the solution.

(1) :  left side = (3 × 5) = 15

right side = 11 - (2 × - 2) = 11 + 4 = 15 ⇒ left = right

(2) : left side = (3 × - 2 ) = - 6

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5 0
3 years ago
Water
Kazeer [188]

Answer:

the surface area is 3140 square feet

Step-by-step explanation:

The computation of the surface area is given below:

Given that

Diameter = 20 feet

radius =  20 ÷ 2 = 10 feet

Surface area = 2\pi r^2 + 2\pi rh

= 2 × 3.14 × (10)^2 + 2 × 3.14 × 10 × 40

= 6.28  × 100  + 6.28  × 400

= 628 + 25.12  × 100

= 628+ 2512

= 3140 square feet

hence, the surface area is 3140 square feet

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7 0
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