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3 years ago

7

A ball is thrown from a point 6 metres above the ground. The graph shows the height of the bake above the ground in metres. Esti

mate the speed of the ball in m/s after 1 second. You must show working.

1 answer:

Margarita [4]3 years ago

3 0

Answer:

1.38

Step-by-step explanation:

1.7-0.4=1.8

1.8/1.3=1.38

On graph place point at (1,8) and draw a triangle

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3/12 ÷ 6/12 ????????????

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3 years ago

* Some amount of billiard balls were arranged in an equilateral triangle. And 5 balls were extra. When the same set of billiard

Agata [3.3K]

Lets say billiard balls are arranged in rows to form an equilateral triangle, then the first row consists of 1 ball, second row consists of 2 balls, and third row consists of 3 balls, and so on. So there must be $n$ balls in the $n^{th}$ row.

So, the total number of balls that forms the equilateral triangle with $n$ rows is:

$1+2+3+4+5+....+n=\frac{n(n+1)}{2}$

Let $x_1$ and $x_2$ be the total number of balls in the first and second arrangements respectively.

Then,

$x_1=\frac{n(n+1)}{2} +5$

It has been said that there were 11 lesser balls in the second arrangement:

$x_2=\frac{1+(n+1)}{2} \times (n+1)-11=(n+1) \times \frac{(n+2)}{2} -11$

Since, $x_1=x_2$

$\frac{(n+1)}{2} \times n+5=\frac{(n+2)}{2} \times(n+1)-11$

multiplying both the sides by 2

$(n+1)\times n+10=(n+2)(n+1)-22$

$n+n^2=n^2+n+2n+2-22-10$

$2n=22+10-2$

$2n=30$

$n=15$

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4 0

3 years ago

Read 2 more answers

Write the equation of a line whose slope is 2/3 and crosses the y axis at (0, -5)

postnew [5]

The equation of line with slope 2/3 and crosses the y axis at (0, -5) is:

$y=\frac{2}{3}x-5$

Step-by-step explanation:

We will use the slope intercept form of the equation to make an equation of the given line

The slope-intercept form is:

$y=mx+b$

Here m is the slope and b is the y-intercept

Given

m = 2/3

Putting the value of slope

$y=\frac{2}{3}x+b$

The y intercept is -5 so we will put in the equation

$y=\frac{2}{3}x-5$

The equation of line with slope 2/3 and crosses the y axis at (0, -5) is:

$y=\frac{2}{3}x-5$

Keywords: Equation of line, slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

7 0

4 years ago