Answer:
<h3>
f(x) = - ⁴/₉(x - 3)² + 6</h3>
Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
f(x) = a(x - h)² + k
So for vertex (3, 6) it will be:
f(x) = a(x - 3)² + 6
<u>y intercept: 2</u> means f(0) = 2
f(0) = a(0 - 3)² + 6
2 = a(-3)² + 6
2 -6 = 9a + 6 -6
-4 = 9a
a = ⁻⁴/₉
Therefore:
The vertex form of quardatic function with vertex: (3,6) and y intercept: 2 is
<u>f(x) = - ⁴/₉(x - 3)² + 6</u>
Answer:
V = 1188 yd^3
Step-by-step explanation:
The volume or a rectangular prism is given by V = l*w*h V = 12 (9) * 11 V = 1188 yd^3
Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/6458403-msferris-owns-a-barn-12-yards-long-9-yards-high-and-11-yards.html
The answer would be c i think
Answer:
Step-by-step explanation
Perimeter of a rectangle =2(length +breadth)
90m = 2{(36x+2) + (2(x+2)}
Opening the inner brackets,
90 = 2{36x +2+2x +4}
90 = 2{38x +6}
Open the brackets
90 = 76x + 12
Collect like terms
90 - 12 = 76x
78=76x
Divide 78 by the coefficient of x
x = 78÷76
x =1.03m (2d.p)
Substitute the value of x into the expressions for the two sides of the rectangle
36x+2 =(36×1.03) +2= 37.08+2=39.08m
2(x+2)= 2(1.03+2)= 2(3.03) =2×3.03= 6.06m
The approximate values of the two sides of d rectangular field are 39.08m and 6.06m
