Answer: 2,100 = 0.02(42) + b
2,100 = 50(42) + b
Step-by-step explanation: good day man
#5) 7.065 sq. ft.
#6) 36 ft
#7) 200.96 sq. ft.
#8) 176.625 sq. ft.
Explanation
#5) Converting 18 inches to feet, 18/12 = 1.5. The area of the circle would be given by A=3.14(1.5)² = 3.14(2.25) = 7.065 sq. ft.
#6) The radius is 18 inches, so the diameter is twice that: 18*2 = 36 inches. Converting this to feet, we have 36/12 = 3 feet. Each stone is 3 feet across. Laying 12 of them against each other would give us a total length of 12*3 = 36 feet.
#7) The radius of the entire mirror with frame is 20/2 = 10. The area of the entire mirror with frame is A=3.14(10²) = 3.14(100) = 314 in².
The area of the mirror without the frame is A=3.14(6²) = 3.14(36) = 113.04 in².
The difference between the two will give the area of the frame:
314-113.04 = 200.96 in²
#8) The area of the circular region is given by A=3.14(7.5²) = 176.625 ft²
Answer
11
Step-by-step explanation:
Answer:
<h2>x = -7 or x = 1</h2>
Step-by-step explanation:
![(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\\\2x^2+12x-14=0\qquad\text{divide both sides by 2}\\\\x^2+6x-7=0\qquad\text{add 7 to both sides}\\\\x^2+2(x)(3)=7\qquad\text{add}\ 3^2=9\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=7+9\\\\(x+3)^2=16\Rightarrow x+3=\pm\sqrt{16}\\\\x+3=-4\ or\ x+3=4\qquad\text{subtract 3 from both sides}\\\\x=-7\ or\ x=1](https://tex.z-dn.net/?f=%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5Cqquad%28%2A%29%5C%5C%5C%5C%5C%5C2x%5E2%2B12x-14%3D0%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%202%7D%5C%5C%5C%5Cx%5E2%2B6x-7%3D0%5Cqquad%5Ctext%7Badd%207%20to%20both%20sides%7D%5C%5C%5C%5Cx%5E2%2B2%28x%29%283%29%3D7%5Cqquad%5Ctext%7Badd%7D%5C%203%5E2%3D9%5C%20%5Ctext%7Bto%20both%20sides%7D%5C%5C%5C%5C%5Cunderbrace%7Bx%5E2%2B2%28x%29%283%29%2B3%5E2%7D_%7B%28%2A%29%7D%3D7%2B9%5C%5C%5C%5C%28x%2B3%29%5E2%3D16%5CRightarrow%20x%2B3%3D%5Cpm%5Csqrt%7B16%7D%5C%5C%5C%5Cx%2B3%3D-4%5C%20or%5C%20x%2B3%3D4%5Cqquad%5Ctext%7Bsubtract%203%20from%20both%20sides%7D%5C%5C%5C%5Cx%3D-7%5C%20or%5C%20x%3D1)