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3 years ago

A triangle lies entirely in Quadrant 1. In which quadrant will the triangle lie after each rotation about (0, 0)?

2 answers:

7 0

Hello there! :D (again)

Explanation:
Well, (0,0) its accesible only in quadrant 1 and 2, because if not it would be (-0,-0) or (-0,0), or even (0,-0)

So, if we think about it, we already have (0,0) in Quadrant 1,so for it to give us the same pair as positive, it would need to be in Quadrant 2.

Answer:
Quadrant 2.
(if you have any questions please ask me)

-Ari.

tester [92]3 years ago

6 0

Well, if the the triangle is rotated clockwise it will lie in quadrant 4. if it is rotated anticlockwise it will lie on quadrant 2
hope this helps

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I’m not sure if I’m correct but a. Find the slope of the line b. state a point on the line

Agata [3.3K]

the equation of a line in point-slope form is

y - b = m(x - a)

where m is the slope and (a, b ) is a point on the line

y + 1 = $\frac{3}{5}$ (x + 5) is in this form

(a) with slope = $\frac{3}{5}$

(b) point on the line = (- 5, - 1 ) = (a, b)

7 0

3 years ago

What number is 15% of 80? use percent proportions

vova2212 [387]

!5% is equivalent to 15 parts over the whole 100 part. It is written in proportions as 15/100.

Similarly, you need to find how many parts in 80 are equivalent to 15%or 15/100. So, just equate both equation with x as an unknown.

x/80 = 15/100
x = (15/100)*80
x = 12

Thus, the 15% of 80 is 12.

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3 years ago

7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4

DerKrebs [107]

9514 1404 393

Answer:

(x, y) = (4, 4)

Step-by-step explanation:

If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...

7a +4b = 5/4

8b -14a = 3/2

where a = 1/(4x+3y) and b = 1/(4x-3y)

Dividing the second equation by 2 and adding the first, we have ...

(7a +4b) +1/2(8b -14a) = (5/4) +1/2(3/2)

8b = 8/4

b = 1/4

Substituting into the first equation gives ...

7a +4/4 = 5/4

a = 1/28

Now, we can get back to solving for x and y.

4x +3y = 1/a = 28

4x -3y = 1/b = 4

8x = 32 . . . . . . . . . add the two equations

x = 4

3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange

y = 4 . . . . divide by 3

The solution to the system of equations is (x, y) = (4, 4).

_____

Additional comment

If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.

7 0

3 years ago

If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term.

Simora [160]

Consecutive terms in an arithmetic sequence differ by a constant $d$ . So

$5k-1=2k+d$
$6k+2=5k-1+d$
$\implies\begin{cases}3k-d=1\\k-d=-3\end{cases}\implies k=2,d=5$

Denote the $n$ -th term in the sequence by $a_n$ . Now that $a_1=2$ , we have

$a_n=a_{n-1}+5=a_{n-2}+2\cdot5=\cdots=a_1+(n-1)\cdot5$

which means

$a_8=2+(8-1)\cdot5=37$

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3 years ago

Which of the following number is the smallest 0.1,0.01,0.001,0.0001

atroni [7]

Answer:

0.0001

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers