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forsale [732]
3 years ago
6

How to get midpoint in a graph with 2 endpoints

Mathematics
1 answer:
Flura [38]3 years ago
3 0

Answer:

You can find the midpoint of a line segment given 2 endpoints, (x1, y1) and (x2, y2). Add each x-coordinate and divide by 2 to find x of the midpoint. Add each y-coordinate and divide by 2 to find y of the midpoint. It's important to note that a midpoint is the middle point on a line segment.

In order to see the midpoint formula in use, let's look at an example.

Question:

Determine the midpoint of the line segment with the given endpoints.

A(3, 7), B(9, 1)A(3,7),B(9,1)

Solution:

We can use the formula for midpoint to determine the midpoint: M= (x1 + x2/2 , y1+y2/2)

First, plug the x and y value into the formula:

M=(3+9/2 , 7+1/2)

,

Then, we can calculate the midpoint:

(6, 4)

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The height h(n) of a bouncing ball is an exponential function of the number n of bounces.
Digiron [165]

Answer:

The height of a bouncing ball is defined by h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}.

Step-by-step explanation:

According to this statement, we need to derive the expression of the height of a bouncing ball, that is, a function of the number of bounces. The exponential expression of the bouncing ball is of the form:

h = h_{o}\cdot r^{n-1}, n \in \mathbb{N}, 0 < r < 1 (1)

Where:

h_{o} - Height reached by the ball on the first bounce, measured in feet.

r - Decrease rate, no unit.

n - Number of bounces, no unit.

h - Height reached by the ball on the n-th bounce, measured in feet.

The decrease rate is the ratio between heights of two consecutive bounces, that is:

r = \frac{h_{1}}{h_{o}} (2)

Where h_{1} is the height reached by the ball on the second bounce, measured in feet.

If we know that h_{o} = 6\,ft and h_{1} = 4\,ft, then the expression for the height of the bouncing ball is:

h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}

The height of a bouncing ball is defined by h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}.

5 0
3 years ago
Read 2 more answers
Complete the steps to find the value of x
vampirchik [111]
72, 96, 84, 12

72 + (7x+24) = 180
7x + 96 = 180
7x = 84
x = 12
3 0
3 years ago
Simplify <br>99=2(-7b-3)+7​
Arisa [49]

Answer:

b=-7

Step-by-step explanation:

Simplifying

99 = 2(-7b + -3) + 7

Reorder the terms:

99 = 2(-3 + -7b) + 7

99 = (-3 * 2 + -7b * 2) + 7

99 = (-6 + -14b) + 7

Reorder the terms:

99 = -6 + 7 + -14b

Combine like terms: -6 + 7 = 1

99 = 1 + -14b

Solving

99 = 1 + -14b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '14b' to each side of the equation.

99 + 14b = 1 + -14b + 14b

Combine like terms: -14b + 14b = 0

99 + 14b = 1 + 0

99 + 14b = 1

Add '-99' to each side of the equation.

99 + -99 + 14b = 1 + -99

Combine like terms: 99 + -99 = 0

0 + 14b = 1 + -99

14b = 1 + -99

Combine like terms: 1 + -99 = -98

14b = -98

Divide each side by '14'.

b = -7

Simplifying

b = -7

5 0
3 years ago
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Simplify the fraction <br><br> (9x² - 12x +4/ 3x²+ x - 2) ÷ (12x² - 5x - 2 / 4x²+5x + 1)
solmaris [256]
When simplified, the answer is 1
5 0
3 years ago
CAN SOME ACTUALLY HELP ME PLEASE!!!!!!!!!!!!!!!!!!
Ahat [919]

Answer:

(1, No, No) (2, No, Yes) (3,  6x^2+10) (4, 2x^2-3) (5,  x^2-x) (6, -2x^4+12x+3)

(7,  3x^3+15x^2+20)  (8, 9x^3 + 4x^2+8x)  (9, xy+2x+6y+5) Sorry didn't have an answer for 10. I hope they are all correct sorry for the wait.

Step-by-step explanation:

6 0
3 years ago
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