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bekas [8.4K]
2 years ago
7

A ball is dropped from a height of 9 m. Each time it strikes the ground it bounces vertically to a height that is 2/3 of the pre

ceding height. Find the total distance the ball will travel if it is assumed to bounce infinitely often. show all work.
Mathematics
1 answer:
vredina [299]2 years ago
6 0

Answer:

The answer i 9

Step-by-step explanation:

If the ball bounces 2/3 of the height of 9, and a 1/3 of 9 is 3, then 6 is the answer.

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Brainliest!!!<br> Please help ASAP !
Semenov [28]

Answer:

Please see below :)

Step-by-step explanation:

y - 5 = -(x + 11) + 2

y - 5 = -x - 11 + 2

y = -x - 11 + 2 + 5

y = -x - 9 + 5

y = -x - 4

54x + 15 = -3(3y + 1)

54x + 15 = -9y - 3

54x + 15 + 3 = -9y

54x + 18 = -9y

-6x - 2 = y

y = -6x - 2

Please let me know if I've done anything wrong!

3 0
3 years ago
Help
Aleks04 [339]
How tall are my class mates i think
7 0
3 years ago
Read 2 more answers
Part A Prove that when x &gt; 1, a triangle with side lengths a = x2 − 1, b = 2x, and c = x2 + 1 is a right triangle. Use the Py
Nataly [62]

Step-by-step explanation:

Given : A triangle with side lengths a = x^2-1, b = 2x, \text{ and } c = x^2 + 1

To find : Prove that when x > 1, it is a right triangle. Use the Pythagorean theorem and the given side lengths to create an equation. Use the equation to show that this triangle follows the rule describing right triangles. Explain your steps ?

Solution :

For right triangle the Pythagorean theorem is to be satisfied.

i.e. c^2=a^2+b^2

Here, a = x^2-1, b = 2x, \text{ and } c = x^2 + 1

Substitute the values,

(x^2+1)^2=(x^2-1)^2+(2x)^2

x^4+1+2x^2=x^4+1-2x^2+4x^2

x^4+1+2x^2=x^4+1+2x^2

LHS=RHS

It is a right triangle.

7 0
3 years ago
Can someone give me the answer and how you work this? -5 - (-10) = ?
erastovalidia [21]

Answer:

5

Step-by-step explanation:

-5 - (-10)

Here we have to use sign of multiplication rule.

negative * negative = positive

that is, -(-) = +

We use this rule and simplify.

- (-10) = + 10

Therefore, -5 + 10

When we have different sign of the numbers, we have to subtract from greatest to least number, then put the largest number sign in the answer.

-5 + 10 = + 5

Hence, the answer is 5

Hope this is will help you.

Thank you.

7 0
3 years ago
Determine whether the lines are parallel, intersect, or coincide. x-5y=0, y+1=1/5(x+5)
MAXImum [283]

<u>Answer-</u>

<em>The lines are two </em><em>coinciding lines</em><em> or the </em><em>same lines</em><em>.</em>

<u>Solution-</u>

The given line equations are

the first one,

\Rightarrow x-5y=0  

the second one,

\Rightarrow y+1=\dfrac{1}{5}(x+5)\\\\\Rightarrow 5y+5=x+5\\\\\Rightarrow 5y=x\\\\\Rightarrow x-5y=0

As we know two line equations A_1x+B_1y+C_1=0 and A_2x+B_2y+C_2=0 will be,

  1. Parallel if, \dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}
  2. Coincide if, \dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}=\dfrac{C_1}{C_2}
  3. Intersect if, \dfrac{A_1}{A_2}\neq \dfrac{B_1}{B_2}

As here,

\Rightarrow \dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}=\dfrac{C_1}{C_2}

\Rightarrow \dfrac{1}{1}=\dfrac{-5}{-5}

(C₁ and C₂ aren't considered as they are 0)

Therefore, the lines are two coinciding lines or the same lines.

4 0
3 years ago
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