Yes choice D is the correct answer. Nice job.
If you wanted, you can simplify the linear approximation L(x)
L(x) = f(a) + (x-a)*f'(a)
L(x) = f(-0.5) + (x-(-0.5))*f'(-0.5)
L(x) = 2 + (x+0.5)*4
L(x) = 2+4x+2
L(x) = 4x+4
Then plug in x = 0
L(x) = 4x+4
L(0) = 4(0)+4
L(0) = 4
But your method is a shorter route.
To find the ratio, you Will need to find the ratio of the patio, and the ratio of the scale version of the patio.
16 feet x 20 feet = 320 ft.²
(16/4 = 4 in)/(20/4= 5 in)
4 inches x 5 inches = 20 in.²
320 ft.² / 20 in.² = 16 ft.² / 1 square inch
72 = 6*12 = 3*2 * 4*3 = 3*2*2*2*3
72 = 2*2*2*3*3
72=2^3 * 3^2
You can check your answer by multiplying out the factors
2*2*2*3*3
2*2 is 4
4*2 is 8
8*3 is 24
24*3 is 72
checks
Answer:
AE = 70
Step-by-step explanation:
Given that ACE is a triangle and B , D , F are mid-points of AC, CE, AE respectively.
⇒ BF, FD, BD are mid-segments.
Mid-segment is a line segment joining mid points of two sides of a triangle,
And it as two properties :
1) mid-segment is always parallel to the third side
2) mid-segment is half in length of the third side
⇒ Here, BD is the mid-segment and is parallel to third side AE
And also BD is half of AE
⇒ AE = 2×BD = 2×35
⇒ AE = 70.
