Answer:
74 inches
Step-by-step explanation:
P = 1/2(b1+b2)h
= 1/2(15+22)4
= 1/2(37)4
= 1/2(148)
= 74'
Answer:
The coefficient of x² in the expression is 2
x/3(6x-1/2) = 6x²/3 - x/6
= 2x² - x/6
Hope this helps
Answer: B.The range Is Higher for city A than City B
E. The median is the same for city A and City B
Answer: ASA
Step-by-step explanation:
Solution
We solve the equation
![\begin{gathered} \frac{3}{x+3}+\frac{6}{x-3}=3 \\ \\ Divide\text{ through by 3} \\ \\ \frac{1}{x+3}+\frac{2}{x-3}=1 \\ \\ Clearing\text{ fraction} \\ \\ x-3+2x+6=x^2-9 \\ 3x+3=x^2-9 \\ \\ x^2-3x-12=0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B3%7D%7Bx%2B3%7D%2B%5Cfrac%7B6%7D%7Bx-3%7D%3D3%20%5C%5C%20%20%5C%5C%20Divide%5Ctext%7B%20through%20by%203%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B1%7D%7Bx%2B3%7D%2B%5Cfrac%7B2%7D%7Bx-3%7D%3D1%20%5C%5C%20%20%5C%5C%20Clearing%5Ctext%7B%20fraction%7D%20%5C%5C%20%20%5C%5C%20x-3%2B2x%2B6%3Dx%5E2-9%20%5C%5C%203x%2B3%3Dx%5E2-9%20%5C%5C%20%20%5C%5C%20x%5E2-3x-12%3D0%20%5Cend%7Bgathered%7D)
We now solve the quadratic equation
![\begin{gathered} x^2-3x-12=0 \\ \\ Using\text{ formula method} \\ \\ x=\frac{3\pm\sqrt{3^2-4(1)(-12)}}{2} \\ \\ x=\frac{3\pm\sqrt{9+48}}{2} \\ \\ x=\frac{3\pm\sqrt{57}}{2} \\ \\ Therefore,\text{ the two answers are given below and corrected to two decimal places} \\ \\ x=5.27 \\ and \\ x=-2.27 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2-3x-12%3D0%20%5C%5C%20%20%5C%5C%20Using%5Ctext%7B%20formula%20method%7D%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B3%5Cpm%5Csqrt%7B3%5E2-4%281%29%28-12%29%7D%7D%7B2%7D%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B3%5Cpm%5Csqrt%7B9%2B48%7D%7D%7B2%7D%20%5C%5C%20%20%5C%5C%20x%3D%5Cfrac%7B3%5Cpm%5Csqrt%7B57%7D%7D%7B2%7D%20%5C%5C%20%20%5C%5C%20Therefore%2C%5Ctext%7B%20the%20two%20answers%20are%20given%20below%20and%20corrected%20to%20two%20decimal%20places%7D%20%5C%5C%20%20%5C%5C%20x%3D5.27%20%5C%5C%20and%20%5C%5C%20x%3D-2.27%20%5Cend%7Bgathered%7D)
The graph is given below