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-Dominant- [34]
3 years ago
12

Which expression is equivalent to 7m + 5 + 6 + 3m

Mathematics
2 answers:
IrinaVladis [17]3 years ago
8 0

Answer: 10 + 11m

Step-by-step explanation:

First you add 7m + 3m = 10m. Then you do 5+6=11. And that would get yo 10+11m

Yuki888 [10]3 years ago
7 0

Answer:21

Step-by-step explanation:

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Choice A) The vertical line test confirms that the graph is a function
True. It is impossible to pass a single vertical line through more than one point on this graph. 
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Choice B) The domain is x >= 2
False. The domain is the set of all real numbers
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Choice C) The range is y >= 2
True. The smallest y value possible is y = 2. This is where the lowest part of the graph occurs.
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Choice D) This piecewise function is made up of four intervals
False. There are two intervals (the curved one on the left; the straight piece on the right)
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Choice E) Each interval of the piecewise function contains a graph of a linear function.
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In summary we have:

choice A) true
choice B) false
choice C) true
choice D) false
choice E) false

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3 years ago
2. Your bank account has -15 in it. You deposit $7 per day.
kobusy [5.1K]
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5 0
3 years ago
What is the length of the shortest altitude in a triangle, if the lengths of the sides are 24 cm, 25 cm, 7 cm?
AfilCa [17]

Answer:

The shortest altitude is 6.72 cm

Step-by-step explanation:

Given that the side lengths are

24 cm, 25 cm, 7 cm

The area of a triangle =

A = \sqrt{s \cdot (s-a)\cdot (s-b)\cdot (s-c)}

Where;

s = Half the perimeter = (24 + 25 +  7)/2 = 28

A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²

We note that 84/7 = 12

Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7

To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude

Altitude  = A/(1/2 ×base)

Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;

We set the base to 25 cm to get;

Area of the triangle A =  1/2 × base × Altitude

84 = 1/2 × 25 × Altitude

Altitude = 84/(1/2 × 25) = 6.72 cm

The shortest altitude = 6.72 cm.

4 0
3 years ago
Solve this problem in your notebook using all four steps. Harvey is 3 times as old as Jane. The sum of their ages is 48 years. F
Reil [10]

Answer:

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Step-by-step explanation:


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3 years ago
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