Answer:
Step-by-step explanation:
we know that
The triangle HPY is a right triangle (because the angle ∠HYP is a right angle)
Applying the Pythagorean Theorem
substitute the given values
Solve for HY
Answer:
0 = -10
Step-by-step explanation:
add 9+2=11
11-10=1-10x rearange terms
-10x+11=1-10x subtract 11 from both sides
−10+11−11=−10+1−1
-10x=-10x-10 add 10 to both sides
−10+10=−10−10+10 simplify cause you subtracts 10 from each side and your left with
0=-10
Answer:
x = -2 or x = 1/3 thus: B & C
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + 7 x - 2 = 2 x - x^2
Subtract 2 x - x^2 from both sides:
3 x^2 + 5 x - 2 = 0
The left hand side factors into a product with two terms:
(x + 2) (3 x - 1) = 0
Split into two equations:
x + 2 = 0 or 3 x - 1 = 0
Subtract 2 from both sides:
x = -2 or 3 x - 1 = 0
Add 1 to both sides:
x = -2 or 3 x = 1
Divide both sides by 3:
Answer: x = -2 or x = 1/3
When solving a word problem, it is always important to make sure you actually understand what's going on. It helps to spend some time making sure you assign the proper variables to each part of the problem before attempting to solve it.
Answer:
Explanations:
Note that for a sequence to be arithmetic, there must be a common difference, d.
Considering each of the sequences provided:
For -1, 3, -9, 27, -81.........
3 - (-1) = 4
-9 - 3 = -12
27 - (-9) = 36
Since the differences between consecutive terms are not common, this is not an arithmetic sequence.
For 1, -2, -5, -8, -11....
-2-1 = -3
-5 -(-2) = -3
-8 - (-5) = -3
-11 - (-8) = -3
Since there is a common difference, d = -3, the sequence is an arithmetic sequence
For 26, 39, 52, 65, 78.....
39 - 26 = 13
52 - 39 = 13
65 - 52 = 13
78 - 65 = 13
Since there is a common difference of
