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

1 answer:

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

You might be interested in

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

please help ill give brain.liest your supposed to make inequality with the options it gives you in the picture their dragable

cupoosta [38]

Not sure(this might be wrong) but “30>p”

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