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Semenov [28]
1 year ago
5

The coordinates triangle ABC are A (0, 2), B (-2, 6), and C (4, 0). Find the slope of BC.

Mathematics
1 answer:
salantis [7]1 year ago
8 0

In the given triangle, the slope of line BC is (C) -1.

<h3>What is the slope?</h3>

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

A line's slope is how steeply it slopes from LEFT to RIGHT.

The slope of a line is determined by dividing its rise, or vertical change, by its run, or horizontal change.

No matter which two locations on the line you choose, the slope of a line is always constant (it never varies).

So, the slope of line BC:

Coordinates of BC are:

B: (-2, 6)

C: (4, 0)

Slope formula: m = y2-y1/x2-x1

Now, substitute the values and calculate as follows:

m = y2-y1/x2-x1

m = 0-6/4-(-2)

m = -6/6

m = -1

Therefore, in the given triangle, the slope of line BC is (C) -1.

Know more about slopes here:

brainly.com/question/29280886

#SPJ1

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Dahasolnce [82]

Answer:

sqrt(1^2 + 2^2)

\sqrt{2}

Step-by-step explanation:

6 0
3 years ago
Timmy uses 1 1 2 cups of sugar for every 2 gallons of lemonade he makes. How many cups of sugar would Timmy use if he makes 13 g
Komok [63]

Answer:

9 3/4 cups

Step-by-step explanation:

This is an example of direct variation where the relationship of 2 elements is such that the increase in one results in an increase in the other. From the question, the increase in the gallons of lemonade made would result in an increase in the number of sugar used.

Given that Timmy uses 1 1/2 cups of sugar for every 2 gallons of lemonade he makes

Let the number of cups of sugar used be x and the number of gallons of lemonade be y

then x α y

x = ky

3/2 = k(2)

k = 3/4

x = 3k/4

To make 13 gallons of lemonade,

x = 3 × 13/4

x = 39/4 = 9 3/4

Timmy would use 9 3/4 cups of sugar to 13 gallons of lemonade.

4 0
4 years ago
Read 2 more answers
HELP!!!<br> A. y= x+25<br> B. x= y+25<br> C. x= 25y<br> D. y= 25x
DanielleElmas [232]

Answer:

D. y=25x

Step-by-step explanation:

Since it's in the place of the slope which is also the constant rate of change.

8 0
3 years ago
Read 2 more answers
Sam kicks a soccer ball from the ground. The height of
Alexeev081 [22]

Answer:

The ball will take 2.6 seconds to hit the ground again.

Step-by-step explanation:

Sam kicks a soccer ball from the ground. The height of  the ball (in feet) can be modeled with the function,  h(t) = −16t(t − 2.6), where t is the time in seconds  after the ball is kicked.

So, the ball will be at ground when h = 0 = - 16t(t - 2.6)

⇒ t = 0 or t = 2.6.

Therefore, the ball will take 2.6 seconds to hit the ground again. (Answer)

8 0
3 years ago
Question Progress
kozerog [31]
5 - 2 times 38 is -71.
Have a nice day
7 0
4 years ago
Read 2 more answers
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