Answer:
18 + √3
Step-by-step explanation:
The product of a surd and its conjugate gives a rational number. Hence;
(18 - √3) (18 + √3)
=324 + 18√3 - 18√3 - 3
=321
A rational number does not contain any surd, hence the answer.
Answer:
y = 4/5x - 9/5
Step-by-step explanation:
4x - 5y = 9 to solve for y you get it by itself.
-4x -4x minus 4x from both sides
-5y = - 4x + 9
/-5 /-5 Divide both sides by 5
y = 4/5x - 9/5 because -4/-5 is 4/5 and 9/-5 is - 9/5
Answer:
D. 30 sq in.
Step-by-step explanation:
10+9+6+5=30 sq in.
Answer:
Step-by-step explanation:
The length of the polar coordinates ray is found using the Pythagorean Theorem: ray length = √( (-1)^2 + (-2)^2 ) = √( 1 + 4) = √5
Because both the x- and the y-coordinates here are negative, the ray is in Quadrant III. Measuring the angle counterclockwise from 0°, we get
Ф = 180° + arctan 2/1, or Ф = 180° + 63.43°, or 243.43°
The desired polar coordinates are (2√2, 243.43°)
Let number of plastic containers collected by fourth grade= x
Then number of plastic containers collected by fifth grade students=x-216
OR
If number of plastic container collected by fifth grade is y
then number of plastic container collected by fourth grade=y+216
So, we can write it as follows
⇒ number of plastic containers collected by fourth grade= number of plastic containers collected by fifth grade +216
