Ask question

Ask question

All categories

3 years ago

9

Choose the correct graph to fit the equation 3y=2x+3

2 answers:

Katyanochek1 [597]3 years ago

3 0

Answer:

y = 2/3x + 1

Step-by-step explanation:

<u>3y = 2x + 3 </u> Divide all by 3

3 3 3

y = 2/3x + 1 Slope is 2/3

Dmitry [639]3 years ago

3 0

Answer:

<u><em> $y=\frac{2}{3} *x+1$ </em></u>

Step-by-step explanation:

The line can be understood as an infinite set of points aligned in a single direction. A line can be expressed by an equation that follows the model y = m * x + b, where "x" e "y" are the variables in a plane. In this expression m is called the slope of the line and is related to the inclination of the line. B is the independent term and is the value of the point at which the line cuts to the vertical axis (y axis) in the plane.

So to get to the model y=m*x+b you must isolate the value of y. For that, each term is divided by 3 to get:

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

<u><em> $y=\frac{2}{3} *x+1$ </em></u>

Then, compared to the model previously proposed, 2/3 is the value of the slope and 1 is the value of b, which is the independent term. This last value, as mentioned, indicates the point of intersection between the line and the "y" axis. The graph of the line with these values is attached.

You might be interested in

The equation of the tangent plane to the ellipsoid x2/a2 + y2/b2 + z2/c2 = 1 at the point (x0, y0, z0) can be written as xx0 a2

svetlana [45]

Answer:

The equation of tangent plane to the hyperboloid

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}=1$ .

Step-by-step explanation:

Given

The equation of ellipsoid

$\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1$

The equation of tangent plane at the point $\left(x_0,y_0,z_0\right)$

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}+\frac{zz_0}{c^2}=1$ ( Given)

The equation of hyperboloid

$\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}{c^2}=1$

F(x,y,z)= $\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}[c^2}$

$F_x=\frac{2x}{a^2},F_y=\frac{2y}{b^2},F_z=-\frac{2z}{c^2}$

$(F_x,F_y,F_z)(x_0,y_0,z_0)=\left(\frac{2x_0}{a^2},\frac{2y_0}{b^2},-\frac{2z_0}{c^2}\right)$

The equation of tangent plane at point $\left(x_0,y_0,z_0\right)$

$\frac{2x_0}{a^2}(x-x_0)+\frac{2y_0}{b^2}(y-y_0)-\farc{2z_0}{c^2}(z-z_0)=0$

The equation of tangent plane to the hyperboloid

$\frac{2xx_0}{a^2}+\frac{2yy_0}{b^2}-\frac{2zz_0}{c^2}-2\left(\frac{x_0^2}{a^2}+\frac{y_0^2}{b^2}-\frac{z_0^2}{c^2}\right)=0$

The equation of tangent plane

$2\left(\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}\right)=2$

Hence, the required equation of tangent plane to the hyperboloid

$\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}=0$

7 0

3 years ago

Write 63 as a product of prime factors in ascending order. I don't need the answer but the explanation as to my friends one was

seropon [69]

Answer:

Step-by-step explanation:

63= 3 * 3 * 7

63 will come in 7th table. 7*9. here 7 is a prime and 9 is composite number. 3*3 = 9. So 63 = 3*3*7

3 0

3 years ago

Read 2 more answers

Find the arc length of the semicircle.

Olegator [25]

180° because it is half of a full circle(360°)

3 0

3 years ago

What is 31.5 percent of 473?

Anna [14]

31.5% of 473 can be calculated as follows

(31.5/100) * 473
= 14899.5/100
= 148.99

hope it helped

3 0

3 years ago

Find the value of BC B 4x - 10 C A D 3x + 5

Rainbow [258]

Answer:

BC = 50

Step-by-step explanation:

BC = AD in a parallelogram

4x-10 = 3x+5

Subtract 3x from each side

4x-3x-10 = 3x-3x+5

x-10 = 5

Add 10 to each side

x-10+10 = 5+10

x = 15

BC = 4x-10 = 4*15-10 = 60-10 = 50

6 0

3 years ago

Read 2 more answers