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3 years ago

How do you multiple 1 1/3 × 5/6

2 answers:

7 0

First you turn 1 1/3= 4/3 next you multiply 4/3 x 5/6 = 20/18 then you simplify 20/18 = 10/9 finally you turn 10/9 into a mixed number which is 1 1/9

Ostrovityanka [42]3 years ago

3 0

So 1 and 1/3 times 5/6
first convert 1 1/3 into improper fraction (x/y)

1 1/3=3/3+1/3=4/3

4/3 times 5/6=(4 times 5)/(3 times 6)=20/18=10/9

the answer is 10/9 or 1 and 1/9 or 1 1/9

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Find the area of a triangle bounded by the y-axis, the line f(x)=9−2/3x, and the line perpendicular to f(x) that passes through

MaRussiya [10]

Answer:

The area of the triangle is 18.70 sq.units.

Step-by-step explanation:

It is provided that a triangle is bounded by the y-axis, the line $f(x)=y=9-\frac{2}{3}x$ .

The slope of the line is: $m_{1}=-\frac{2}{3}$

A perpendicular line passes through the origin to the line f (x).

The slope of this perpendicular line is: $m_{2}=-\frac{1}{m_{1}}=\frac{3}{2}$

The equation of perpendicular line passing through origin is:

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

Compute the intersecting point between the lines as follows:

$y=9-\frac{2}{3}x\\\\\frac{3}{2}x=9-\frac{2}{3}x\\\\\frac{3}{2}x+\frac{2}{3}x=9\\\\\frac{13}{6}x=9\\\\x=\frac{54}{13}$

The value of <em>y</em> is:

$y=\frac{3}{2}x=\frac{3}{2}\times\frac{54}{13}=\frac{81}{13}$

The intersecting point is $(\frac{54}{13},\ \frac{81}{13})$ .

The <em>y</em>-intercept of the line f (x) is, 9, i.e. the point is (0, 9).

So, the triangle is bounded by the points:

(0, 0), (0, 9) and $(\frac{54}{13},\ \frac{81}{13})$

Consider the diagram attached.

Compute the area of the triangle as follows:

$\text{Area}=\frac{1}{2}\times 9\times \frac{54}{13}=18.69231\approx 18.70$

Thus, the area of the triangle is 18.70 sq.units.

7 0

4 years ago

How to solve this it says what is the y value in the given sytem of equations?

grigory [225]

Hope it helps u :))))

8 0

4 years ago

What is the surface area of a cube with a side length of 10 inches?

Romashka [77]

Okay so one side is area is 10x10 or 100 there are 6 sides on a cube, so I can do 6x100 which is 600

:)

6 0

4 years ago

Read 2 more answers

1 /4x² = - 1/2x + 2?

Sphinxa [80]

Answer:

x1=-4 x2=2

Step-by-step explanation:

5 0

3 years ago

Find an equation for the plane which passes through the point p(1,3,3) and contains the line: l:x(t)=3t,y(t)=2t,z(t)=4+3t

BARSIC [14]

Answer:

Step-by-step explanation:

Given that the plane passes through (1,3,3)

Also the plane contains the line x(t)=3t,y(t)=2t,z(t)=4+3t.

This means all points lying in this line will also lie in the plane.

Find out two points on this line.

First point: Let t =0. Point is (0,0,4)

Next point : Let t = 1: Point is (3,2,7)

Now we have 3 non collinear points (0,0,4) (3,2,7) and (1,3,3) lying on the plane.

Equation of the plane is

$\left[\begin{array}{ccc}x-0&y-0&z-4\\3&2&3\\1&3&-1\end{array}\right] =0$

Simplify to get

x(-2-9)-y(-3-3)+(z-4)(9-2)=0

i.e -11x+6y+7z-28 =0

11x-6y-7z+28 =0 is the equation of the plane.

6 0

4 years ago