You can use the Pythagorean Theorem:
a^2+b^2=c^2
x^2+x^2=(7√2)^2
2x^2=49*2 (combine like terms and square the 7√2)
x^2=49 (divide both sides by 2)
x=7 (square root both sides)
So the equation is 2x^2=98 (simplest form) and x=7
Hope this helps
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°)
5 cupcakes = $7.5
18 cupcakes = $27
X^2 + 2x < 8
x^2 + 2x - 8 < 0
(x + 4)(x - 2) < 0 ,,
{x + 4 < 0 and x - 2 > 0} or {x + 4 > 0 ,,and x - 2 < 0} ,,
{x < -4 and x > 2} or {x > -4 and x < 2},,
Discard x < -4 and x > 2 because it has no solutions, leaving just
x > -4 and x < 2 ,,
-4 < x < 2
