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melisa1 [442]
3 years ago
13

In triangle XYZ, the length of side XY is 24 mm and the length of side YZ is 34 mm. Which of the following could be the length s

ide XZ?
A. 8 mm
B. 63 mm
C. 42 mm
D. 60 mm
Mathematics
1 answer:
dmitriy555 [2]3 years ago
3 0
In a triangle, the length of any side is greater than the difference of the lengths of the other two sides and less than the sum of the lengths of the other two sides.

34 mm - 24 mm = 10 mm

The length of side XZ must be greater than 10 mm.

24 mm + 34 mm = 58 mm

The length of side XZ must be less than 58 mm.

The only choice between 10 mm and 58 mm is 42 mm.
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The demand for coffee is given by the following equation, where QD stands for the quantity demanded and P stands for price.
mart [117]

Using linear function concepts, it is found that the slopes and intercepts of the functions are given as follows:

a) -4.

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d) P = 5.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The demand is given by:

D = 100 - 4P.

Hence the slope is of -4. The demand is equals to zero when:

100 - 4P = 0 -> P = 25.

The supply is given by:

QS = -10 + 2P.

Hence the slope is of 2. The supply is equals to zero when:

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More can be learned about linear function concepts at brainly.com/question/24808124

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2 years ago
An architect plans to build an extension to​ Meiling's rectangular deck. Let x represent the​ increase, in​ meters, of her​ deck
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Complete question is;

An architect plans to build an extension to meiling's rectangular deck. Let x represent the increase, in meters, of her deck's length. The expression 4(x+8) represents the area of the deck, where 4 is the width, in meters, and (x+8) represents the extended length, in meters. Use distributive property to write an expression that represents the total area of meilings new deck.

Answer:

4x + 32

Step-by-step explanation:

We are told that the expression 4(x+8) represents the area of the deck.

Also, that 4 is the width, in meters, and (x+8) represents the extended length, in meters.

Thus, area is;

A = 4(x+8)

Using distributive property simply means we will distribute the term outside the bracket to each term inside the bracket.

Thus;

A = (4 * x) + (4 × 8)

A = 4x + 32

8 0
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