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3 years ago

Ratios that are equivalent to 8 : 20

Mathematics

1 answer:

Sidana [21]3 years ago

6 0

Answer: 16 and 40. 24 60

Step-by-step explanation:

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Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).

arsen [322]

Answer:

$y=-2x+2$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

$m=\frac{y_2-y_1}{x_2-x_1}$ where the two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (-1, 4) and (0, 2)

$=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2$

Therefore, the slope of the line is -2. Plug this into $y=mx+b$ :

$y=-2x+b$

2) Determine the y-intercept

$y=-2x+b$

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

$y=-2x+2$

I hope this helps!

6 0

2 years ago

Describe how the graph of y= x – 12 is like the graph of y= x and how it is different

puteri [66]

The two graphs have the same slope. But the graph of y= x – 12 is 12 units below the graph of y = x. We call that a "vertical translation."

6 0

3 years ago

A quadratic function is defined by g(x) = (x + 4)2 +7.

Travka [436]

Step-by-step explanation:

The vertex is the point (-4, 7).

4 0

2 years ago

. A colony of bacteria triples every hour. If

ikadub [295]

Answer:

a)60, b)14580, c)20*3^n

3 0

3 years ago

Is 3(2)^x equivalent to 1.5(2^x)(2^1)

Volgvan

Answer:

Yes

Step-by-step explanation:

1.5(2^x)(2^1)

1.5x2^x x2

3x2^x

6 0

3 years ago