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3 years ago

What is the equation of the line, in point-slope form, that passes through the points (4, 8) and (2,-2)?

Mathematics

1 answer:

Annette [7]3 years ago

3 0

Answer:

y = 5x -12

Step-by-step explanation:

point-slope form:

y - y1 = m(x-x1)

m= slope

m= (y2-y1)/ (x2-x1)

we have (4, 8) and (2,-2)

x1 = 4 y1= 8

x2= 2 y2= -2

m=( -2-8) / (2- 4)

m= -10/ -2

m= 5

so we have:

y - 8 = 5(x-4)

y - 8= 5x -20

y= 5x -20 +8

y = 5x -12

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What is 26.833 rounded to the nearest thousandth?

son4ous [18]

26.833 26.000 27.000 Answer 27.000

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3 years ago

Maggie only wore sandals tracker on two of the days that she trained so from her fitness trackers she verified that on the third

KIM [24]

We know form our problem that the third day she biked 20 miles, so we have the point (3,20). We also know that on the eighth day she biked 35 miles, so our second point is (8,35).

To relate our two point we are going to use the slope formula: $m= \frac{x_{2}-x_{1}}{y_{2}-y_{1}}$
We can infer form our points that $x_{1}=3$ , $y_{1}=20$ , $x_{2}=8$ , and $y_{2}=35$ . so lets replace those values in our slope formula:
$m= \frac{35-20}{8-3}$
$m= \frac{15}{5}$
$m=3$

Now that we have the slope, we can use the point-slope formula determine the equation of the line that best fit the set for Maggie’s data.
Point-slope formula: $y-y_{1}=m(x-x_{1})$
$y-20=3(x-3)$
$y-20=3x-9$
$y=3x+11$

We can conclude that the equation of the line that best fit the set for Maggie’s data is $y=3x+11$ .

3 0

3 years ago

If the scale factor for the dilation shown is 3, which is the length of B'C'?

Arturiano [62]

Answer:

Step-by-step explanation:

Scale Factor = 3

Using Formula:

Scale Factor = LengthOfDilatedTraingle/LengthOfActualTriangle

Scale Factor = B'C'/B'C'

B'C' = 3 * 5

B'C' = 15

5 0

2 years ago

1-Andrea tenía una deuda de $25 850 en el banco y abonó $18700. ¿Cuál es su deuda actualmente?

lora16 [44]

Answer:

Current debt of Andrea = $7,150

Step-by-step explanation:

Given:

Loan taken by Andrea from bank = $25,850

Amount paid by Andrea to bank = $18,700

Find:

Current debt of Andrea

Computation:

⇒ Current debt of Andrea = Loan taken by Andrea from bank - Amount paid by Andrea to bank

⇒ Current debt of Andrea = 25,850 - 18,700

Current debt of Andrea = $7,150

Note: O information provide about interest.

6 0

3 years ago

Find the probability of drawing a green card, not replacing it, and then drawing another green card.

IRISSAK [1]

Answer:

1/15

Step-by-step explanation:

This is probably too late but I'll do it anyway.

There are 10 cards in all.

of the 10, 3 are green.

So your chance of drawing the first green is 3/10

Now you have 9 cards in total left.

Two of them are green

Your chance of drawing a green card again is 2/9

Your total chance of drawing 2 green cards is

2/9 * 3/10 = 6/90

2/9 * 3/10 = 1/15

7 0

2 years ago