Answer:
5 ; 12 ; 13
Step-by-step explanation:
Let :
Shorter leg = x
Other leg = x + 7
Hypotenus = x + 8
Recall:
Hypotenus² = opposite² + adjacent²
(x+8)² = x² + (x+7)²
x² + 16x + 64 = x² + x² + 14x + 49
x² - 2x - 15 = 0
x² - 5x + 3x - 15 = 0
x(x - 5) +3(x - 5) = 0
(x + 3) = 0 ; x = - 3
(x - 5) = 0 ; x = 5
Side can't be negative ;
Hence,
x = shorter side = 5
Other side = x + 7 = 5 + 7 = 12
Hypotenus = x + 8 = 5 + 8 = 13
I believe you are expected to simplify. To do this all you do is group like terms (x, x², x³ etc.) and then simplify the coefficients.
13. 10z + 7z - 19z² - 5z² - 17z
first you can rearrange and group like terms (remember the bring the sign in front of each term with it). I would do it like this:
-19z² - 5z² +10z + 7z - 17z
Now simplify the coefficients:
-24z² + 0z
you can omit the 0z and your simplified answer is
-24z²
Main thing to remember here is that z and z² cannot be simplified together, nor can any variable that has an exponent because the exponent makes them differ.
Answer:
Option A is your answer ☺️☺️
Let r be the red marble, b the blue marble, g the green marble.
possible outcomes={r,r,b,b,b,b,b,b,b,g,g,g,g,g,g}
total=15
2/15=.133 is the probability
