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Debora [2.8K]
3 years ago
11

Factor x^2-10x+25,please show work

Mathematics
1 answer:
Papessa [141]3 years ago
5 0
This is relatively easy because that 25 is a perfect square, whose (square) roots are 5 and -5.  x^2-10x+25 = (x - 5)(x - 5).  Note how (-5)(-5) = +25, and how -5x - 5x = -10x.

The roots are { (x-5), (x-5) }.
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Felipe fills an aquarium to a depth of 3/5 meters in 7 1/2 minutes.
dem82 [27]

Answer:

2/25 meters per minute.

Step-by-step explanation:

I believe this is right please correct me if I'm wrong.

6 0
2 years ago
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What is 5.27 × 1021 expressed in standard notation?
Strike441 [17]
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3 years ago
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The surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²? What is the scale factor of the smaller
max2010maxim [7]

Answer:

scale factor of the smaller  prism to the larger prism is B. 21/23

Step-by-step explanation:

Given

surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²?

scale factor is ratio of sides of two similar objects

thus scale factor for given prism will be = side of smaller prism / side of larger prism

in general rule

If shape of solid has scale factor of k

scale factor of area = k²

scale factor of volume = k³

_____________________________

Given in the problem area of two prism is given

we know area = side^2

scale factor of area = k²

k^2 = area of smaller prism / area of larger prism

k^2 = 882 / 1058 = 441/529\\k = \sqrt{ 441/529} \\k = 21/23

Thus, correct option is B 21/23.

7 0
3 years ago
Find the value of L. Perimeter =22. Width is 5. So what is L. On a square
SSSSS [86.1K]
P= L+W 
P= Perimeter, L= Length  and W=Width
Length + Width = Perimeter
So, then P(22) - W(5) = L(17)
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4 0
3 years ago
Which of these triangle pairs can be mapped to each other using two reflections?
UkoKoshka [18]

Answer: The correct option is figure (1).

Explanation:

Reason for correct option:

The figure (1) shows the reflection across the side XY followed by reflection across the side YT.

When we reflect the triangle XYZ across the side XY we get the triangle XYT as shown in below figure.

After that we reflect the triangle XYT across the side YT and we get the triangle PYT.

Therefore, only figure 1 shows the triangle pairs can be mapped to each other using two reflections.

Reason for incorrect options:

The figure (2) shows the rotation of 180 degree along the point y.

The figure (3) shows the reflection across the side XY followed by the translation.

The figure (4) shows the reflection, followed by rotation , followed by translation.

8 0
3 years ago
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