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yKpoI14uk [10]
2 years ago
15

What is 1 2/3 x 2 please help

Mathematics
2 answers:
Nadya [2.5K]2 years ago
8 0

Answer:

3 1/3, or 10/3

Step-by-step explanation:

1 2/3 * 2 = 5/3 * 2 = 10/3 = 3 1/3

RideAnS [48]2 years ago
5 0

Answer:3\frac{1}{3}  or 3.33333 in decimal form

Step-by-step explanation:

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For each of the following, state the equation of a perpendicular line that passes through (0, 0). Then using the slope of the ne
SVEN [57.7K]

Answer:

The answer is below

Step-by-step explanation:

a) y=3x-1

The standard equation of a line is given by:

y = mx + c

Where m is the slope of the line and c is the intercept on the y axis.

Given that y=3x-1, comparing with the standard equation of a line, the slope (m) = 3, Two lines with slope a and b are perpendicular if the product of their slope is -1 i.e. ab = -1. Let the line perpendicular to y=3x-1 be d, to get the slope of the perpendicular line, we use:

3 × d = -1

d = -1/3

To find the equation of the perpendicular line passing through (0,0), we use:

y-y_1=d(x-x_1)\\d\ is\ the \ slope:\\y-0=-\frac{1}{3} (x-0)\\y=-\frac{1}{3}x

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

y=-\frac{1}{3}x\\ 4=-\frac{1}{3}x\\-x=12\\x=-12

b) y=1/4 x+2

Given that y=1/4 x+2, comparing with the standard equation of a line, the slope (m) = 1/4. Let the line perpendicular to y=1/4 x+2 be f, to get the slope of the perpendicular line, we use:

1/4 × f = -1

f = -4

To find the equation of the perpendicular line passing through (0,0), we use:

y-y_1=f(x-x_1)\\f\ is\ the \ slope:\\y-0=-4 (x-0)\\y=-4x

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

y=-4}x\\ 4=-4x\\x=-1

8 0
2 years ago
Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smalle
Rus_ich [418]

Answer:

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

y = 2 x + 7

Step-by-step explanation:

Let x represent the smaller number and y represent the larger number.

<h2><u /></h2><h2><u>Part 1</u></h2>

Four times a number added to 3 times a larger number is 31.

<u>It is translated as:</u>

  • 4x + 3y = 31

<u>Then, solving for y:</u>

  • 4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3

    ⇒  y= - 4/3x + 31/3

<u>Correct answer choice for this equation:</u>

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

<h2><u>Part 2 </u></h2>

Seven subtracted from the larger number is equal to twice the smaller number.

<u>It is translated as:</u>

  • y-7= 2x

<u>Then, solving for y:</u>

  • y-7= 2x ⇒ y= 2x+ 7

<u>Correct answer choice for this equation:</u>

y = 2 x + 7

4 0
2 years ago
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