x=ferns ; y=ivy
12x+8y=260
6x+15y=240
x=60 -(15/6)y
12(60+ (15/6)y + 8y = 260
x=60 -(15/6)y
720 - 30y + 8y = 260
x=60- (15/6)y
-30y +8y= 260-720 ==> -22y= -460
x=60 -(15/6)y
y= (-460)/(-22)= 20.9090909091
y=20.90
x=60 -(15/6)×20.90= 7.75
×(ferns)=7.75$
y(ivy)=20.90$
5.99(1.75)= 10.4825
10.4825 to the nearest hundredth is 10.48
$10.48
For the problem on the left, the best way to solve is by splitting the shape into two. The smaller square at the top, and the larger rectangle at the bottom. To find the area of the top of the square you multiply base times height. In this case, you do 36*36, to get 1296. For the larger rectangle, you also do base times height, and calculate 60*36, to get 2160. The final step is to add 2160 to 1296. After adding, you should get the sum of 3456. Add the unit, and since we’re finding area, add squares. The answer is 3456 yards squared.
For the second problem, we can notice that the shape is a trapezoid. The way we find the area of a trapezoid is by taking the average of the bottom length and the top length, and multiply it by the height. The first step is to do 16+8 to get 24. Next, you need to divide 24 by 2 since you’re finding the average of the two numbers. Finally, to finish multiply the height by 12. In this case you do 16*12, to get 192 feet squared.
Answer to A: 3456 Yards Squared
Answer to B: 192 Feet Squared
Answer:
The equation of the parabola is (x-2)^2 =8(y-2)
Step-by-step explanation:
Given focus is (2,4) and the directrix is y=0 so the parabola axis is parallel to y- axis.
Focus is (α,β+a) and the directrix is of the form y = β-a
so given focus is (2,4) compare (α,β+a)
here β+a = 4 and a=2 and β=2
now given directrix y = β-a = 2-2 = 0
now the general parabola is (x-α)^2 =4a(y-β) ...(1)
now substitute α =2 ,β=2 and a=2 above equation
The equation of the parabola is (x-2)^2 =8(y-2)
the question does not present the options, but this
does not interfere with the resolution
let
x-------> the length of the garden
y-------> the width of the garden
A-------> Area of the garden
we know that
A=x*y
A=120 ft²
for x=12 ft
120=12*y-----------------> y=10 ft
but
<span>the length of the garden to be more than 12 feet
so
</span>
x > 12 ft
therefore
y < 10 ft
Hence
the answer is
The width of the garden <span>must be less than 10 ft (width < 10 ft)</span>
