Which is the slope of the line with equation 7 x − 3 y = 21 ?

Mathematics

1 answer:

Rus_ich [418]2 years ago

7 0

Answer:

slope = $\frac{7}{3}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 7x - 3y = 21 into this form

Subtract 7x from both sides

- 3y = - 7x + 21 ( divide all terms by - 3 )

y = $\frac{7}{3}$ x - 7 ← in slope- intercept form

with slope m = $\frac{7}{3}$

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How many solutions does the equation have?<br><br> 2x + 3 = 4x + 2

fenix001 [56]

Well, solve for x.

Combine like terms by performing the opposite operation of subtracting 4x on both sides of the equation

The 4x's will cross out on the right

4x - 4x = 0x = 0

On the left:

2x - 4x = -2x

Now the equation looks like:

-2x + 3 = 2

Continue to combine like terms by subtracting 3 on both sides of the equation

On the left:

3 - 3 = 0

On the right:

2 - 3 = -1

Equation:

-2x = -1

Isolate x by performing the opposite operation of dividing -2 on both sides of the equation

On the left:

-2x ÷ -2 = 1

On the right:

-1 ÷ -2 = 1/2

x= 1/2

So, there is only one solution: 1/2

8 0

2 years ago

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An object is 3.6 m from the pinhole. Its image is 4.2 cm from the opposite side of the pinhole. The height of the image is 0.8 c

madreJ [45]

Answer:

Height of the object is 68.6 cm.

Step-by-step explanation:

The height of the object can be determined by:

$\frac{object distance from pinhole}{image distance from pinhole}$ = $\frac{object height}{image height}$