Solution:
<u>A few definitions...</u>
- Rational number - Any integer, fraction, terminating decimal, or repeating decimal is classified as a rational number
- Irrational number - All the real numbers which are not rational numbers.
<u>Option A - Rational or Irrational?</u>
Since both are known as fractions, they are rational numbers.
<u>Option B - Rational or Irrational?</u>
√2 is classified as an Irrational number because if it is simplified, it does not result in any integer, fraction, terminating decimal, or repeating decimal.
<u>Option C - Rational or Irrational?</u>
- 1/√4 + 7/2
- => 1/2 + 7/2
- => 8/2 = 4
Since this is an integer, this is rational.
<u>Option D - Rational or Irrational?</u>
- √9 + √4
- => √3 x 3 + √2 x 2
- => 3 + 2 = 5
Since this is an integer, this is rational.
In conclusion...
Option B is correct.
Answer: x=3 y=3
Step-by-step explanation:
Assuming you meant 2x+3y=15 as the first problem. You have to make either both the x’s or both the y’all equal in both equations first. Multiply the second equation by 2 (for x’s) and you’ll get 2x+2y=12. The 2x cancels out so you’re left with 3y=15 and 2y=12. Subtract 2y=12 from 3y=15 and you get y=3.
Repeat to figure out x. Multiple second equation by 3 (for equal y’s) and you get 3x+3y=18. This time the first equation is being subtracted from the second one. (3x+3y=18) - (2x+3y=15). Y’s cancel out and you’re left with (3x=18)-(2x=15. Subtract and you get x=3
Step-by-step explanation:
Since we have a vertical major axis, our ellipse is vertical.
The equation of a vertical ellipse is
where
(h,k) is the center
a is the semi major axis,
b is the semi minor axis
First, let plug in our center
Semi means half, so
a is half of 14 which is 7
B is half of 8, which is 4.
