Use the distance formula Sqrt ( (x2-x1)^2 +(y2-y1)^2)
Distance = sqrt ( (-8 - -2)^2 +(4- -4)^2)
Distance = sqrt(-6^2 + 8^2)
Distance = sqrt ( 36 + 64)
Distance = sqrt(100)
Distance = 10
The length is 10
Answer: I am in 6th grade and I just did this test too at K12 CAVA. I got the answer correct, it is:
376
Hope this helps.
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:
B and E
Step-by-step explanation:
Given the rational expression
← factorise the denominator
2x² - 32 ← take out a common factor of 2 from each term
= 2(x² - 16) ← (x² - 16) is a difference of squares
= 2(x - 4)(x + 4)
The expression can now be written as
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be.
2(x - 4)(x + 4) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
These are the values of x that make the expression undefined.
x = 4 → B
x = - 4 → E
If this represents 15 percent of the total number of photos taken, which equation can be used to find the total number of photos? A. 60×4/15×4 = 240/60.
