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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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kupik [55]

Answer:

C

Step-by-step explanation:

30x20=600

5 0
3 years ago
Read 2 more answers
find the curved surface area and total surface area of a right circular cylinder whose height is 15 cm and the radius of the bas
Katena32 [7]

Answer:

Step-by-step explanation:

curved surface area is 2πrh, so 2*π*7*15.

7*15*2=210.

210*π=659.734

3 0
3 years ago
X=17-4y<br> y=x-2<br> answer by substitution
GaryK [48]

Answer:

(5,3)

Step-by-step explanation:

x=17-4y

x=17-4x+8

x=25-4x

5x=25

x=5

y=x-2

y=5-2

y=3

(5,3)

5 0
3 years ago
How does the graph y=3^x compare to the graph y=3^-x
LUCKY_DIMON [66]

Answer:

Y = 3x^x is a graph that has exponential growth while y = 3^-x has exponential decay.

Y = 3x^x (-∞, 0) and (∞, ∞).

Y = 3x^-x (-∞, ∞) and (∞, 0).

Step-by-step explanation:

The infinity symbols were being used to represent the x and y values of each graph. I will call y = 3^x "graph 1" and y = 3^-x "graph 2".

When graph 1 had positive ∞ for its x value, its y value was reaching towards positive ∞. When its x was reaching for negative ∞, its y was going for 0.

For graph 2, however, when its x was reaching for positive ∞, its x was reaching for 0. When its x was reaching for negative ∞, its y was going for positive ∞.

Here's an image of the graphs:

5 0
2 years ago
Determine, to one decimal place, the length, width &amp; height of the rectangular prism that would have the greatest volume, wi
Leya [2.2K]

Answer:

The length = The width = The height  ≈ 5.8 cm

Step-by-step explanation:

The volume of a rectangular pyramid, V = l × w × h

The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200

∴  l × h + w × h + l × w = 200/2 = 100

We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;

At maximum volume, l = w = h

∴ l × h + w × h + l × w = 3·l² = 100

l² = 100/3

l = 10/√3

Therefore, the volume, v = l³ = (10/√3)³

The length = The width = The height = 10/√3 cm ≈ 5.8 cm

7 0
3 years ago
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