2 years ago

Find the scale factor of a model school bus if the scale is .5 inches=7feet.

1 answer:

6 0

Answer: 168

Step-by-step explanation: A scale factor is simply the ration between two corresponding units, therefore you can just divide the units by each other. There are 12 inches in a foot, 84 in 7 feet. 85/.5=168

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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

2 years ago

The vertices of polygon ABCD are at A(1,1), B(2,3), C(3,2), and D(2,1). ABDC is reflected across the x-axis and translated 2 uni

velikii [3]

Answer:

Step-by-step explanation:

A. (1,1)

B. (2, -1)

C. (3, 0)

D. (2,1)

yes so i have matched the vertices of the polygon

4 0

3 years ago

Read 2 more answers

(1) a sample of 36 ball have been randomly pull out of jar. it contained 16 red balls. what is the probability of that happening

Lynna [10]

There is a .41025...% chance of that happening. moving on the jar is not 25% filled with red balls because 25% of 36 is only 9 and he pulled out 16 red balls hence forth that is impossible if the jar is only 25% red balls

hope this helped!!!

4 0

3 years ago

If h(x) = 5 x and k(x)=1/x, which expression is equivalent to (koh)(x)?

Anestetic [448]