Answer:
<h2><u>
y = -2x</u></h2>
Step-by-step explanation:
If you notice very carefully then you will see that the line passes through the points :
( 1 , - 2 )
( - 1 , 2 )
Hence the value of x = 1 when the value of y = - 2 .
We know that - 2 × 1 = - 2
⇒ - 2 x = y
⇒ y = - 2x
Hence the first OPTION is correct .
Verification :
For points ( - 1 , 2 ) we can write :
y = - 2x
⇒ 2 = - 2 × - 1
⇒ 2 = 2
Hence the answer is verified .
Always try to use the converse of the graphical method .
( Nothing converse is there ... just saying the opposite steps of that method :P )
I mean in graphical method we plot points and then join , here identify the joined points and then make the equation .
Answer:
Step-by-step explanation:
1. y - 2 = -3(x - 4)
y - 2 = -3x + 12
y = -3x + 14
2. y - 6 = -1/2(x + 5)
y - 6 = -1/2x - 5/2
y - 12/2= -1/2x - 5/2
y = -1/2x + 7/2
Putting this as an arithmetic sequence gives:
The sum of the series = 16 x 7 x 7 = 784 m^3 = 784 000 L
The sum of an arithmetic series can be written as:
![S_n=n/2 [2a+(n-1)d] = 784 000 \\n/2[2(150)+(n-1)200] = 784 000 \\n[300+200(n-1)=1 568 000 \\300n+200n^2-200n = 1 568 000 \\200n^2+100n- 1 568 000 = 0 \\2n^2 +n- 15680 = 0 \\n= 88.2...,-88.7](https://tex.z-dn.net/?f=S_n%3Dn%2F2%20%5B2a%2B%28n-1%29d%5D%20%3D%20784%20000%0A%5C%5Cn%2F2%5B2%28150%29%2B%28n-1%29200%5D%20%3D%20784%20000%0A%5C%5Cn%5B300%2B200%28n-1%29%3D1%20568%20000%0A%5C%5C300n%2B200n%5E2-200n%20%3D%201%20568%20000%0A%5C%5C200n%5E2%2B100n-%201%20568%20000%20%3D%200%0A%5C%5C2n%5E2%20%2Bn-%2015680%20%3D%200%0A%0A%5C%5Cn%3D%2088.2...%2C-88.7)
n has to be positive, so we get
n =
<u>88.2 hours (3 s.f.)</u>
Answer:
82
Step-by-step explanation:
180+148+xy=360
xy=32
arc=32=double the angle=16 degrees
Since both are radii they are equal. It is an isoceles triangle so angle x equals angle y.
180=16=164/2=82
