Answer:
Step-by-step explanation:
Hypotenuse² =base² + altitude²
(3x + 4)² = (2x + 1)² + (3x)²
{Use (a+b)² = a² + 2ab + b²}
(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²
9x² + 24x + 16 = 4x² + 4x + 1 + 9x²
9x² + 24x + 16 = 13x² + 4x + 1
0 = 13x² + 4x + 1 - 9x² - 24x - 16
13x² - 9x² + 4x - 24x +1 - 16 = 0
4x² - 20x - 15 = 0
a = 4 ; b =-20 ; c = -15
D = b² - 4ac = (-20)² - 4*4*(-15) = 400 + 240 = 640
√D = √640 = 25.30

x = 5 .66 ; x = -0.66
Ignore x = -0.66 as length of a side cannot be negative
Answer : x = 5.66
Answer: yes
Step-by-step explanation:
Answer:
4.5 Kilograms is the answer :)
Step-by-step explanation:
Answer: 208 points in total
Step-by-step explanation:
multiply 52(the amount of games) by the rate of change (which is 4)
Answer:
Lol this is my first time seeing someone saying I bet no one will answer this. Ok coming back to the topic answers are :-
Initial value = -18
Initial value is the output value or the y variable. Looking in the table the y variable is -18 since x is 0.
Rate of change = 0.5
You have to use the formula of rate of change to find the answer. You can choose any pairs from the table and will give you the same answer. I pick the first pair and the last pair to find my rate of change.
(0, -18) and (36, 0)
x1, y1 x2, y2
Rate of change = y2 - y 1 / x2 - x1
Rate of change = 0 - (-18) / 36 - 0
Rate of change = 18 / 36
Rate of change = 0.5
Hope this helps, thank you :) !!