How do you Write 29/9 as a mixed number.

Mathematics

2 answers:

melomori [17]3 years ago

6 0

29 = 3 x 9 + 2

$\frac{29}{9}=3\frac{2}{9}$

Oksi-84 [34.3K]3 years ago

4 0

To write an improper fraction a mixed number you start by seeing how many times the denominator (bottom number) goes in to the numerator (top number). Since the denominator is 9 and the numerator is 29, 9 goes into 29 3 times. The left over numbers become the fraction of which is in simplest form.
3 x 9 = 27
29 - 27 = 2

Mixed number: 3 2/9

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Find Slope and Y-intercept

Ksenya-84 [330]

Answer:

slope = -5/1

y-intercept = (0, -34)

Step-by-step explanation:

slope m = change in y ÷ change in x

= (-9 - -4) ÷ (-5 - -6)

= -5 ÷ 1

= -5/1

y = mx + b ⇒ y = -5x + b

substitute one of the points

-4 = (-5 x -6) + b

-4 = 30 + b

b = -34

Therefore, y-intercept = (0, -34)

4 0

2 years ago

Read 2 more answers

Find the point that is 1/5 the way from A to B where A(-7,4) and B(3, 10).

mestny [16]

Answer:

The coordinates of the point that is 1/5 the way from A to B is $(x,y) = (-5,\frac{26}{5})$

Step-by-step explanation:

Here, the given points are: A (-7,4) and B (3,10)

Let us assume the point M(x,y) on AB is such that

AM : AB = 1 : 5

⇒ AM : (AB - AM) = 1 : (5-1) = 1: 4

⇒ AM : MB = 1 : 4

Now, The Section Formula states the coordinates of point (x,y) on any line dividing the line in the ratio m1 : m2

$(x,y) = (\frac{m_2x_1+m_1x_2}{m_1+m_2} ,\frac{m_2y_1+m_1y_2}{m_1+m_2} )$

Here, in the given equation, m1: m2 = 1:4

So, the coordinates M(x,y) is given as:

$(x,y) = (\frac{(-7)(4) + 1 (3)}{1+ 4} ,\frac{4(4) + 1(10)}{1+4} )\\\implies (x,y) = (\frac{-28+3}{5} ,\frac{16+10}{5} ) = (\frac{-25}{5} ,\frac{26}{5} )\\\implies (x,y) = (-5,\frac{26}{5} )$