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SpyIntel [72]
3 years ago
9

Terms must be like terms in order to _______ or______. Terms do not have to be like if we are ______ or ______.

Mathematics
1 answer:
Goryan [66]3 years ago
4 0

Answer: Add, subtract, multiply, divide

Step-by-step explanation:

Terms must be like terms in order to add or subtract. Terms do not have to be like if we are multiplying or dividing.

You cant add unlike terms when adding or subtracting, but you can use the exponent rules when multiply or dividing.

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A binomial consists of———— terms
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Consists of two terms (A+B)
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3 years ago
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A child lets go of a balloon that rises at a constant rate. 5 seconds after it was released, the balloon is at a height of 16 fe
Mama L [17]

Answer:

1. h = 2.4t + 4

2. 4 feet

3. 220 feet

Step-by-step explanation:

1. Write a linear model for the height, h, of the balloon as a function of the number of seconds, s that it has been raising.

Since the balloon rises at a constant rate, we find this rate by using the initial and final values of height and time at 5 seconds and 20 seconds respectively which are 12 feet and 52 feet respectively.

So, rate = gradient of line

= change in height/change  in time

= (52 ft - 16 ft)/(20 s - 5 s)

= 36 ft/15 s

= 2.4 ft/s

Now the equation of the line which shows the height is gotten from

(h - h')/(t - t') = rate

Using h'= 16 feet and t' = 5 s, we have

(h - 16)/(t - 5) = 2.4

h - 16 = 2.4(t - 5)

h - 16 = 2.4t - 12

h = 2.4t - 12 + 16

h = 2.4t + 4

where h is the height of the balloon above the ground and t is the time spent in the air in seconds.

2. What was the height of the balloon initially before the child let it go?

We obtain the initial height of the balloon before the child let go at time, t = 0 the time before the child let go.

So, substituting t = 0 into the equation for h, we have

h = 2.4t + 4

h = 2.4(0) + 4

h = 0 + 4

h = 4 feet

So, the height of the balloon before the child let go is 4 feet above the ground.

3. Use your model to predict the height of the balloon after 90 seconds.

We insert t = 90 s into the equation for h. So,

h = 2.4t + 4

h = 2.4(90) + 4

h = 216 + 4

h = 220 feet

So, the height of the balloon after 90 s is 220 feet above the ground.

8 0
2 years ago
Which of the following statements is true?
Semmy [17]

Answer:

Option B

Step-by-step explanation:

we know that

A <u>rational number</u> is one that can be represented as the ratio of two whole numbers

so

\frac{\sqrt{5}}{8} -----> Is not a rational number, because √5 is not a whole number, is a irrational number

\frac{\sqrt{4}}{9}=\frac{2}{9} ---> Is a rational number, because can be represented as the ratio of two whole numbers

therefore

√5/8 is irrational and √4/9 is rational

7 0
3 years ago
Your bowl contains 8 red balls, and 9 blue balls, and you draw 4 balls. in how many ways can the selection be made so that at le
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<span>Your bowl contains 8 red balls, and 9 blue balls, and you draw 4 balls. in how many ways can the selection be made so that at least one of each color is drawn.</span>
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D. (2,5) is the answer
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