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:
48 units
Step-by-step explanation:
75%=36
or 3/4=36
then 1/4=12 and 4/4=48
Let
x-----------> the distances measured in miles
<span> Abby method
1)2x
2)2x-20%------> 2x-0.4x
</span>algebraic expression<span>-----> [2x-0.4x]---------> 1.6x
</span> Renato method
1)x/5
2)(x/5)*8-------> 8x/5
algebraic expression----->[8x/5]---------------> 1.6x<span>
Part B)
</span>[2x-0.4x]=[8x/5]---------> 1.6x=8x/5--------> 5*(1.6x)=8x-------> 8x=8x
therefore
<span>the two methods give the same answer
the answer is 1.6x</span>
9 to find the answer divide 2.1 by 18.9 in which you'll get 9 = x