If the terminal point of e is (0, -1), what is tan e?<br> A. O<br> B. 1<br> C. Undefined<br> D. -1

aleksklad [387]

Answer: i think it’s c

Step-by-step explanation:

4 0

3 years ago

1. Quadrilateral ABCD has vertices A(-1, 1), B(2, 3), C(6, 0) and D(3, -2). Determine using coordinate geometry whether or not t

deff fn [24]

Answer:

The Conclusion is

Diagonals AC and BD,

a. Bisect each other

b. Not Congruent

c. Not Perpendicular

Step-by-step explanation:

Given:

[]ABCD is Quadrilateral having Vertices as

A(-1, 1),

B(2, 3),

C(6, 0) and

D(3, -2).

So the Diagonal are AC and BD

To Check

The diagonals AC and BD

a. Bisect each other. B. Are congruent. C. Are perpendicular.

Solution:

For a. Bisect each other

We will use Mid Point Formula,

If The mid point of diagonals AC and BD are Same Then

Diagonal, Bisect each other,

For mid point of AC

$Mid\ point(AC)=(\dfrac{x_{1}+x_{2} }{2},\dfrac{y_{1}+y_{2} }{2})$

Substituting the coordinates of A and C we get

$Mid\ point(AC)=(\dfrac{-1+6}{2},\dfrac{1+0}{2})=(\dfrac{5}{2},\dfrac{1}{2})$

Similarly, For mid point of BD

Substituting the coordinates of B and D we get

$Mid\ point(BD)=(\dfrac{2+3}{2},\dfrac{3-2}{2})=(\dfrac{5}{2},\dfrac{1}{2})$

Therefore The Mid point of diagonals AC and BD are Same

Hence Diagonals,

a. Bisect each other

B. Are congruent

For Diagonals to be Congruent We use Distance Formula

For Diagonal AC

$l(AC) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}$

Substituting A and C we get

$l(AC) = \sqrt{((6-(-1))^{2}+(0-1)^{2} )}=\sqrt{(49+1)}=\sqrt{50}$

Similarly ,For Diagonal BD

Substituting Band D we get

$l(BD) = \sqrt{((3-2))^{2}+(-2-3)^{2} )}=\sqrt{(1+25)}=\sqrt{26}$

Therefore Diagonals Not Congruent

For C. Are perpendicular.

For Diagonals to be perpendicular we need to have the Product of slopes must be - 1

For Slope we have

$Slope(AC)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Substituting A and C we get

$Slope(AC)=\dfrac{0-1}{6--1}\\\\Slope(AC)=\dfrac{-1}{7}$

Similarly, for BD we have

$Slope(BD)=\dfrac{-2-3}{3-2}\\\\Slope(BD)=\dfrac{-5}{1}$

The Product of slope is not -1

Hence Diagonals are Not Perpendicular.

6 0

4 years ago

How many students are there in total?

Ksenya-84 [330]

Answer:

total of 36 students

Step-by-step explanation:

only Tennis = 2

only Football = 2

only Baseball = 4

Tennis/Football = 3

Football/Baseball = 14

Baseball/Tennis = 11

All = 6

add them all: 2 + 2 + 4 + 3 + 14 + 11 = 36

5 0

3 years ago

Tyrone's parents bought 9 bags of chips for his party. At the end of the night, 7 1/6 bags have been eaten. How many bags do the

Tatiana [17]

Answer:

Hi there again!! the answer wold be 1 5/6.

Step-by-step explanation:

First subtract 9 by 7. The answer is 2. Now we have 1/6 of a bag eaten, which means there is 5/6 left. But we only have 1 bag left because 5/6 is the second bag. So the answer is 1 5/6!

Please mark me Brainliest! Thank you and have a nice day!

6 0

4 years ago

Read 2 more answers

What’s the equation y= what ? pls help me!

Anastaziya [24]

Answer:

Y=mx+b

Step-by-step explanation:

That's the slope equation, though y could mean anything from a point on a graph to the question.

3 0

3 years ago

If the terminal point of e is (0, -1), what is tan e? A. O B. 1 C. Undefined D. -1