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1 year ago

Write in standard form: a line through the origin with slope 2/3

Mathematics

2 answers:

frez [133]1 year ago

7 0

Answer:

2x - 3y = 0

Step-by-step explanation:

the equation of a line passing through the origin is

y = mx ( m is the slope )

here m = $\frac{2}{3}$ , then

y = $\frac{2}{3}$ x ( multiply through by 3 to clear the fraction )

3y = 2x

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

rearranging the above equation into this form

2x = 3y ( subtract 3y from both sides )

2x - 3y = 0 ← in standard form

nordsb [41]1 year ago

5 0

Answer:

y = 2/3x

Step-by-step explanation:

Slope-intercept formula: y = mx + b

m = 2/3 because the slope is 2/3.

b = 0 because the y value of the origin is 0, as the point is at (0, 0).

That makes y = 2/3x + 0, but adding zero does nothing so you take it out to get y = 2/3x.

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10/8c - 4/8 = 6/8 + 5/8c

siniylev [52]

Answer: c = 2

Step-by-step explanation: Solve for c by simplifying both sides of the equation, then isolating the variable.

5 0

2 years ago

Solve for the Simplest form

tino4ka555 [31]

How to solve:

$\frac{5}{6}$ - $\frac{3}{8}$

Write all numerators above the least common denominator which is 24 in this case.
$\frac{20-9}{24}$

Subtract the numbers
$\frac{11}{24}$

Alternate form: 0.458333

The final, simplified, fraction answer is: $\frac{11}{24}$

7 0

3 years ago

Read 2 more answers

In a rectangle ABCD, A and B are the points (4,2) and (2,8) respectively l. Given that the equation of AC is y=x-2. Find the equ

Nastasia [14]

Hello,

A=(4,2)
B=(2,8)

(AB)≡y-2=(x-4)*(8-2)/(2-4) ==> y=-3x+14
(BC)≡y-8=(x-2)*1/3 ==> y=1/3 x+22/3

4 0

3 years ago

Compute the lower Riemann sum for the given function f(x)=x2 over the interval x∈[−1,1] with respect to the partition P=[−1,− 1

Nata [24]

Answer:

21/64

Step-by-step explanation:

First, we need to note that the function f(x) = x² is increasing on (0, +∞), and it is decreasing on (-∞,0)

The first interval generated by the partition is [-1, -1/2], since f is decreasing for negative values, we have that f takes its minimum values at the right extreme of the interval, hence -1/2.

The second interval is [-1/2, 1/2]. Here f takes its minimum value at 0, because f(0) = 0, and f is positive otherwise.

Since f is increasing for positive values of x, then, on the remaining 2 intervals, f takes its minimum value at their respective left extremes, in other words, 1/2 and 3/4 respectively.

We obtain the lower Riemman sum by multiplying this values evaluated in f by the lenght of their respective intervals and summing the results, thus

LP(f) = f(-1/2) * ((-1/2) - (-1)) + f(0) * (1/2 - (-1/2)) + f(1/2)* (3/4 - 1/2) + f(3/4) * (1- 3/4)

= 1/4 * 1/2 + 0 * 1 + 1/4 * 1/4 + 9/16 * 1/4 = 1/8 + 0 + 1/16 + 9/64 = 21/64

As a result, the lower Riemann sum on the partition P is 21/64

3 0

3 years ago

Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the tabl

MakcuM [25]

The equation for the direct variation is y= kx (where k is contant of variation.)

This equation represent that if x will increase then y will also increase because it's k times x.

Where the equation for indirect variation is $y=\frac{1}{k} x$

By this equation if x will increase then y will decrease and vice versa.

The given data is :

x: 2 4 8 12

y: 4 2 1 2/3

Notice as x is increasing then y is decreasing. Like x has increased from 2 to 4 then y is decresing from 4 to 2 and so on.

So, the given data represent an indirect variation.

7 0

3 years ago