Fill in missing information to make the equality true: (... +2a)2 = … +12ab2+4a2.

I can't view the graph, but let’s apply reasoning
hmm, since it requires more than 10 cubic feet of topsoil, the first and second options aren’t feasible

let’s analyze the costs
third option
10*1=10
2*12=24
10+24=34 and 34<50, that works

fourth option
3*10=30
2*12=24
30+24=54
54>50, that's too high


the answer is the third one
the one with 1 cubic yard of compost and 12 cubic yards of topsoil

Answer:

The diagram displaying triangle ABC and the relevant statement along with the answer options is attached.

According to this, the answer is: The length of DC is 28.

Explanation:

From the diagram and the data that segment AB equals segment AC, you comprehend that angles B and C of the isosceles triangle ABC are congruent.

Triangles BED and CFD possess two sets of congruent angles (angle B is congruent to angle D, and angles BED and DFC are congruent), indicating that triangles BED and CFD are similar.

This similarity leads to the proportional relationship:

• DE / DF = DB / DC

Given that the ratio of DE to DF is 5:7, we have:

• 5/7 = DB / DC

Also, it is stated that segment BC is 48.

From the figure:

• BC = DB + DC = 48.

This results in two equations:

• 5/7 = DB / DC

• DB + DC = 48.

Now, we define DC = x, which implies DB = 48 - x, leading to the equation:

• 5 / 7 = (48 - x) / x

Solve this:

• 5x = 7 (48 - x)... [multiplication property: multiply by x and 7]

• 5x = 336 - 7x... [distributive property]

• 12x = 336... [addition property: add 7x to both sides]

• x = 336 / 12... [division property: divide by 12]

• x = 28... [simplification]

Therefore, the length of segment x = DC = 28.

I believe it would be 4/15 since science books are 6/15 and fiction accounts for 5/15

While I don't require it, a brainliest would be greatly appreciated

We are given the points
<span>E (0, 27)
</span><span>F (5,−8)

and we need to calculate the rate of change and the initial value:

To determine the rate of change, we will apply the slope formula:
m = (-8 - 27) / (5 - 0) = -7
Thus, the rate of change is -7

The initial value refers to the y-coordinate when x equals 0, which corresponds to point E. Therefore, the initial value is 27.</span>

Greetings!

The conclusion is:

The return trip will take 18 hours.

Reasoning:

To determine the duration of the return journey, we must calculate the distance from the destination back to the starting point.

The ship travels at 15 miles per hour (mph) over 6 hours, yielding a distance of:

The distance from the starting point to the destination is 90 miles, and for the return trip, the motor operates at a speed of 5 mph. Thus, computing the time taken gives us:

Consequently, the return trip will take 18 hours to complete.

Have a nice day!