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scoundrel [369]
3 years ago
6

Which shows 42^2 − 38^2 being evaluated using the difference of perfect squares method?

Mathematics
2 answers:
Viktor [21]3 years ago
4 0

Answer:The correct answer is D

Step-by-step explanation:

Basile [38]3 years ago
3 0

Answer:

D

Step-by-step explanation:

a²  - b² ← is a difference of squares and is factored in general as

(a + b)(a - b)

42² - 38² ← is a difference of squares and factors as

42² - 38² = (42 + 38)(42 - 38) = 80(4) = 320 → D

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What would the graph of 10x + 7y < 49 look ?
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Answer: The graph is attached.

Step-by-step explanation:

1. Solve for y, as following:

10x+7y

2. The equation of the line in slope intercept form is:

y=mx+b

Where m is the slope and b is the y-intercept.

3. In this case the equation of the line is:

y=-\frac{10}{7}x+7

then:

m=-\frac{10}{7}\\\\b=7

4. Find the x-intercept. Make y=0. Then:

0=-\frac{10}{7}x+7\\\frac{10}{7}x=7\\x=4.9

5. Then, plot the line that passes through the points (0,7) and (4.9, 0).

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Name the sets of numbers to which -5 belongs to
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It would belong to integers, rational, and real numbers.
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if on a scale drawing 35 feet are represented by 25 inches, then a scale of 1/8 inch represents how many feet?
kirill115 [55]

Answer:

7/40 feet

Step-by-step explanation:

Solve using proportions:

\frac{25in}{35ft} =\frac{1/8 in}{?ft}

Find the scale factor by dividing the numerators 25 by 1/8.

25 ÷ 1/8 = 200   This is the common ratio

To get from the top left number to the top right number, you divide 25 by 200.

To get from the bottom left number to the bottom right number, you divide 35 by 200.

35 ÷ 200 = 0.175

1/8 of an inch represents 0.175 feet.

To find 0.175 in fraction form, reduce 35/200 to its lowest terms.

35/200 = 7/40

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