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Lady bird [3.3K]
2 years ago
12

Rectangle TUVW is on a coordinate plane at T (a, b), U (a + 2, b + 2), V (a + 5, b − 1), and W (a + 3, b − 3). What is the slope

of the line that is parallel to the line that contains side TU? A 1 B −1 C 2 D −2
Mathematics
2 answers:
masya89 [10]2 years ago
7 0

Answer:

The correct option is;

A 1

Step-by-step explanation:

The given rectangle TUVW has coordinates T(a, b), U (a + 2, b + 2), V ( a + 5, b - 1) and W (a + 3, b - 3).

Given that the coordinates of T and U are T (a, b), and U (a + 2, b + 2), we have;

The slope, m of the line TU is is found by the following relation;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where we put (x₁, y₁) = (a, b) and (x₂, y₂) = (a + 2, b + 2), we have;

m = ((b + 2) - b)/((a + 2) - a) = 2/2 = 1

Whereby the slope of a line parallel to another line are equal, we have that the slope of the line parallel to the line that contains the side TU is also 1.

Lady bird [3.3K]2 years ago
7 0
The answer is A





The answer is A
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Alice should pick the enlarged-photo with dimensions of 8-inch by 10-inch.

Step-by-step explanation:

Step 1:

In order for a part of the photo to not be cut off, the enlarged photo's dimensions should be of a constant ratio with the original photo's dimensions.

We divide the dimensions of the enlarged-photo with the dimensions of the original photo to check which has a constant ratio.

Step 2:

The original photo was a 4-inch by 5-inch photo.

Option 1 is 7-inch by 9-inch, so the ratios are

\frac{7}{4} = 1.75, \frac{9}{5} = 1.8. The ratios are different so this cannot be the enlarged photo's dimensions.

Option 2 is 8-inch by 10-inch, so the ratios are

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Option 3 is 12-inch by 16-inch, so the ratios are

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2 years ago
The temperature of chicken soup is 192.7°F. As it cools, the temperature of the soup decreases 2.3°F per minute. Part A What is
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Answer:

Part A: option C. 135.2°F

Part B: 40 min

Step-by-step explanation:

<em>Part A:</em><em> What is the temperature in degrees Fahrenheit of the soup after 25 minutes?</em>

<u>1. Set an equation</u>:

  • Temperature = Initial temperature - decrease in temperature
  • decrease in temperature = rate of decrease × time
  • Variables:

        temperature: T

        initial temperature: To = 192.7°F

        decrease rate: 2.3°F / min

        time = t

  • Equation: T = 192.7°F - 2.3(°F/min) × t

2.<u> Substitute t = 25 min</u>

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Part B. <em>How many minutes will it take for the soup to cool to 100.7°F?</em>

2.<u> Solve the equation for t</u>

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3. <u>Substitute T = 100.7°F</u>

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2 years ago
On a vacation in Puerto Rico, Rose jumped off a cliff into a river in EL Yunque Forest Reserve. Her height as a function of time
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Answer:

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Step-by-step explanation:

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<em>See Attachment for complete question</em>

Required

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Since, the value of the radius is not given;

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2 years ago
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