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kobusy [5.1K]
3 years ago
7

2. The area of a square is represented by the expression 16m2 - 40m + 25 square units. write the expression to represent the dim

ensions for each side. Explain what process you use. Justify your answer.
​
Mathematics
2 answers:
tester [92]3 years ago
8 0

Answer:

Each side = 4m-5

Step-by-step explanation:

16m2 - 40m + 25

factor:

(4m - 5)(4m - 5)

Each side = 4m-5

leva [86]3 years ago
5 0

Answer:

The expression for each side = 4m - 5.

Step-by-step explanation:

We need to factor the expression for the area. As the figure is a square both factors should be identical.

16m^2 - 40m + 25:

16m^2 and 25 are both perfect squares so looks like the factors are

(4m - 5)(4m - 5)

The signs are negative because the middle term is - 40m.

If we expand the factors we get:

4m*4m - 5*4m - 5*4m -5*-5

16m^2 - 20m - 20m + 25

= 16m^2 - 40m + 25  which is the original expression, so this confirms our result.

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Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39. For any minutes over 200, Ben is cha
faltersainse [42]

Answer:

\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.

Step-by-step explanation:

We are given that Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39.

We are also told that For any minutes over 200, Ben is charged $0.35 per minute.

let x  be the minutes used each month

So, if x\leq 200

So, coat will be $39

If x>200

So, Ben is charged $0.35 per minute

So, when x>200

So, charge = 39+(x-200)\times 0.35

So, the piecewise functions accurately represents charges based on Ben's cell phone :

\left\{\begin{matrix}39 & x\leq 200\\ 39+(x-200)\times 0.35 & x>200\end{matrix}\right.

4 0
3 years ago
Read 2 more answers
Please help thanks so much.
Alik [6]
You can see if they are similar by looking at the sides.

If each of the sides have the same proportion then they are similar.

24/3 = 8
32/4 = 8
112/14 = 8

Yes they are similar and their ratio is 1:8

Hope this helps :)
3 0
4 years ago
Read 2 more answers
6 = -5 -x solve for x
makkiz [27]

Answer:

<h2>x = -11</h2>

Step-by-step explanation:

In algebra, the goal is always to isolate the variable, so that its value can be determined.

<h3>Step 1: Add x</h3>

6 + x = -5

<h3>Step 2: Subtract 6</h3>

x = -11

<h3>Step 3: Check</h3>

6 = -5 - -11

6 = -5 + 11

6 = 6 ✔

<h3>Step 4: Answer</h3>

x = -11

I'm always happy to help :)

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3 years ago
3. The student council is selling roses to collect funds for a charity. The graph be
dexar [7]

Answer:

Unit = 3

Step-by-step explanation:

Given

See attachment for graph

Required

The unit cost

Pick any point on the dots of the graph; we have:

(x,y) = (2,6)

The unit cost is then calculated as:

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3 years ago
Is the question is x(x2-2) then what would be the answer
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<span>x(2x-2)
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4 years ago
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