Answer:
212.6 units²
Step-by-step explanation:
Area of the figure = area of rectangle + area of semicircle
✔️Area of rectangle = length * width
Length = 13
Width = 6*2 = 12
Area of rectangle = 156 units²
✔️Area of semicircle = ½(πr²)
r = 6
Area of semicircle = ½(π*6²) = ½(π*36) = 56.55 units²
✔️Area of the figure = 156 + 56.55 = 212.55 ≈ 212.6 units² (to nearest tenth)
<span>X(x^2-6x+5)=12(x-5)
Distribute
x^3-6x^2+5x=12x-60
Simplify (minus 12x from both sides)
x^3-6x^2-7x=60
Factor X
x(x^2-6x-7)=60
Divide X from btoh sides
</span><span>(x^2-6x-7)=60/x
Simplify
X=7.861308
</span><span>
</span>
Answer: C - 15.81
Step-by-step explanation:
pythagorean theorum: a^2 + b^2 = c^2
13^2 + 9^2 = c^2
169 + 81 = c^2
c^2 = 250
root both sides
c = 15.81
Answer: 14 gallons of gasoline.
Step-by-step explanation:
given data:
25(x + 3) = 424
where x is the number of gallon of gasoline needed to purchase.
Solution.
25(x + 3) = 424
first we open the bracket
25x + 75 = 424
collect like terms
25x = 424 – 75
25x = 349
divide both sides by 25
25x/25 = 349/25
x = 13.96
x = 14
mathew needs to get 14 gallons of gasoline.
Answer:
y = x-2
Step-by-step explanation:
find the slope. 0,-2 and 2,0
0- -2 / 2-0 = 1
y-0 = 1(x-2)
y = x - 2