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MAXImum [283]
3 years ago
6

The coordinates of the vertices of triangle ABC are A(-1,3), B(1,2) and C(-3,-1).

Mathematics
1 answer:
Romashka [77]3 years ago
5 0
In order to prove the triangle is a right angled triangle we need to prove that the slope of the lines CA and BC  and AB have any  negative reciprocals.Lets find the slopes . 
AB=(-1,3), (1,2) slope of AB = 2-3/1-(-1)= -1/2 slope of AB is -1/2
BC = (1,2), (-3,1) slope of BC is 1-2/-3-1= -1/-4 slope of BC is 1/4
Slope of CA =(-3,1)(-1,3) slope of 3-1/-1-(-3)=-2/-2=1

Since the slopes do not have any negative reciprocals so the triangle is not a right angled triangle 
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Amanda ate 1/3 of her mom's pie. she gave the remaining 2/3 to 4 friends, What fraction did each friend get.
Semenov [28]
So she divided the 2/3 between 4 friends.

So each friend got 2/3 divided by 4, which gives:

(2/3)*(1/4) = 2/12 = 1/6
7 0
3 years ago
If f(x)= 3x+1 is reflect across the y-axis; what would the slope & y-intercept be? *
Elden [556K]

Answer: f(x) = -3x + 1

So the slope is -3 and the y-intercept is 1

Step-by-step explanation:

This is because it’s across the y-axis so the y-intercept doesn’t change. Because it’s a reflection the slope just becomes the opposite of what it originally was, so in this case it will be -3

7 0
3 years ago
Can someone help me with number 8 please? Thank you.
Naddik [55]
Answer: -4 \le x \le 5
Note: to write the domain in interval notation, you'd write [-4,5]
if you need the domain in set-builder notation, then you'd write \left\{x|x\in\mathbb{R}, \ -4\le x\le 5\right\}

------------------------------------------------------------------------------

Explanation:

The domain is the set of possible x input values. Look at the left most point (-4,-1). The x coordinate here is x = -4. This is the smallest x value allowed. The largest x value allowed is x = 5 for similar reasons, but on the other side of the graph.

So that's how I got -4 \le x \le 5 (x is between -4 and 5; inclusive of both endpoints)

Writing [-4,5] for interval notation tells us that we have an interval from -4 to 5 and we include both endpoints. The square brackets mean "include endpoint"

Writing \left\{x|x\in\mathbb{R}, \ -4\le x\le 5\right\} is the set-builder notation way of expressing the domain. The x\in\mathbb{R} portion means "x is a real number"

6 0
3 years ago
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cupoosta [38]
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4 0
3 years ago
Read 2 more answers
Mr.Johnson is planning what to wear tomorrow. He has a white shirt, a plaid shirt, and a blue shirt. He has four pairs of pants
const2013 [10]

Answer:

Mr. Johnson has 12 possibilities.

Step-by-step explanation:

The information provided are:

  • Mr. Johnson has a white shirt, a plaid shirt, and a blue shirt.
  • Mr. Johnson  has four pairs of pants, black, brown, gray, and white.
  • He chooses one shirt and one pair of pants.

Compute the number of ways to select a shirt and a pair of pants as follows:

Total number of ways = Number of Shirts × Number of pair of pants

                                     =3\times 4\\\\=12

Thus, Mr. Johnson has 12 possibilities.

8 0
3 years ago
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