You had the right idea using the Pythagorean theorem to solve for b.
Problem is for that triangle to work, the 5 and the 2√2 would have to switch places. The length of a leg cannot be larger than the length of the hypotenuse for it to truly be a right triangle.
Pythagorean theorem only works for the right triangles. Only way to "solve this problem would be to bring in complex numbers.
5² + b² = (2√2)²
25 + b² = 2²(√2)²
25 + b² = 4(2)
25 + b² = 8
b² = 8 - 25
b² = - 17
b = √-17
b= (√17i)
Then the problem with THIS is a measurement/distance cannot be negative... which goes against exactly what that complex number i is.
Answer: 
Step-by-step explanation:
Given
Klarissa requires 
cups of flour to make a recipe
Convert mixed numeral to fraction
If she wants to triple the recipe then,
Answer:
a. 
chance you win.
b. The expected value of the game is -$2.08.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
You roll 2 die and if you toss 2 sixes
For each roll, 6 possible values, 1 of which is 6. So the probability of rolling two sixes is:
a. What is the chance you win?
chance you win.
b. What is the expected value of the game?
1/36 probability of winning 100.
35/36 probability of losing 5. So
The expected value of the game is -$2.08.
Answer:
Step-by-step explanation:
3x2−2x−5=0
Let us factorize using the split the middle term method.
On inspection we observe that middle term can be split in two parts whose product is equal to the product of first and third term.
Two terms are −5xand3x
The equation becomes
3x2+3x−5x−5=0, pairing the two and taking out common factors
⇒(3x2+3x)−(5x+5)=0,
don't forget to change the sign of −5 once placed inside the parenthesis.
⇒3x(x+1)−5(x+1)=0
⇒(x+1)(3x−5)=0
Either (x+1)=0 or (3x−5)=0
We obtain x=−1,53
or x=−1,123
Answer:
(6a + 5b)(6a - 5b)
Step-by-step explanation:
Rewrite the expression in the form of a² - b²:
(6a)² - (5b)²
Use the difference of squares (a² - b² = (a + b)(a - b)):
(6a + 5b)(6a - 5b)
