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galina1969 [7]
3 years ago
13

A girl's feet are negative 2 over 4 yards from the surface of a pool. A boy's feet are negative 3 over 4 yards from the surface

of the pool. Determine whose feet are closer to the surface.
Mathematics
1 answer:
frozen [14]3 years ago
6 0
The girls are closer. Her feet are 1/2 the distance away from the surface pool, the boys are 3/4 away.
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Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4
Julli [10]

Answer:

(m + 2)^{2} - m^{2}  - 12 = 4(m - 2)

Step-by-step explanation:

Step 1:

Write the expression

(m+2)^{2} - m^{2}  - 12

Step 2: Expand (m + 2)^{2}

(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2}  - 12\\m^{2} + 2m + 2m + 4 - m^{2}  - 12

Step 3: Collect similar terms

m^{2}  - m^{2}  + 4m + 4 - 12\\4m - 8

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2}  - m^{2} -  12 is a multiply of 4 because the expression is equal to 4(m-2)

3 0
3 years ago
. Describe the transformation of the function, y = x + 4, from y = x.
USPshnik [31]

There are two interpretations we could go for:

  1. Adding 4 to the end means we add 4 to each y coordinate (since y = x). This <u>shifts the entire line 4 units up</u>
  2. Replacing x with x+4 means the xy axis is shifted 4 units to the right. If the line y = x is held completely still while the axis moves, then it gives the illusion the line is moving <u>4 units to the left</u>

Check out the diagram below.

Point A on the red line y = x has two locations it could end up. If we follow method 1, then point A shifts upward to point B. Do this to every point on the red line and the entire red line shifts up 4 units.

Or if you decide to shift 4 units to the left (method 2), then point A moves to point C's location. Doing this to every point on the red line shifts the entire line 4 units to the left.

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ElenaW [278]
It takes 2 hours to meet

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A has 30 mph: after 2 h has made 60mph

B has 20 mph: after 2 h has made 40 mph

60+40=100 miles
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4 years ago
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