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Rzqust [24]
3 years ago
5

in triangleABC the side lengths are b=13, ac=21 and bc=x. write a compound inequality the represents the range of possible value

s for x
Mathematics
1 answer:
tankabanditka [31]3 years ago
3 0

Answer:

8 < x < 34

Step-by-step explanation:

ab = 13, ac = 21, bc = x

The longest side of a triangle must be less than the sum of the other two sides.

If 21 is the longest side:

21 < 13 + x

8 < x

If x is the longest side:

x < 13 + 21

x < 34

Therefore, 8 < x < 34.

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Factor 28+56t+28w28+56t+28w28, plus, 56, t, plus, 28, w to identify the equivalent expressions. Choose 2 answers:
Effectus [21]

Answer: The factorization of  28+56t+28w =28(1+2t+w)

The factors of 28+56t+28w are 28 and 1+2t+w.

Step-by-step explanation:

The given expression : 28+56t+28w

To factorize it, we need to find the common factor.

As 56 can be written as 2 x 28.

So, the above expression would become

28+2\times28t+28w

Now, taking 28 as common from all the terms, we will get

28(1+2t+w)

Thus, the factorization of  28+56t+28w =28(1+2t+w)

And the factors of  28+56t+28w are 28 and 1+2t+w.

6 0
2 years ago
Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the
LuckyWell [14K]

Answer:

1. x=8 is the line of symmetry for f(x) = -4(x − 8)2 + 3

2. x=-2 is the line of symmetry of g(x) = 3x2 + 12x + 15

3. x=3 is the line of symmetry of h(x), shown in the graph.

Step-by-step explanation:

To find the line of symmetry of a vertical parabola (second degree polynomial), find the value of x that sets the squared term to zero.  This is a vertical line passing through the vertex of the second degree function.

1. f(x) = -4(x − 8)2 + 3

setting x=8 will give f(8) = 3, so x=8 is the line of symmetry

2. g(x) = 3x2 + 12x + 15

here, we need to complete the squares,

g(x) = 3x2 + 12x + 15

g(x) = 3(x^2+4x+5)

g(x) = 3(x^2 + 2(2x) +4 +1)

g(x) = 3((x+2)^2 +1)

So setting x=-2 will anihilate or cancel the squared term, therefore

x= -2 is the line of symmetry.

3. the curven shown in graph,

we see that the vertex is at x=3, so x=3 is the line of symmetry.

5 0
3 years ago
Write the following as an inequality
Ipatiy [6.2K]

Answer:

3 ≤ w ≤ 4

Step-by-step explanation:

the statements are 3 ≤ w  and 4 ≥ w ( or w ≤ 4 )

These can be combined into the single inequality

3 ≤ w ≤ 4


4 0
2 years ago
Jenson has a basket containing oranges, apples, and pears. He picks a piece of fruit from the basket 40 times, replacing the fru
katovenus [111]

Answer:In this question, we're trying to find how many apples Jenson picked from the basket.

Lets gather information that can help us.

Important information:

Picked a fruit from a basket 40 times

Probability of picking an apple is 0.3

With the information above, we can solve the question.

We know that he picked up a fruit 40 times, but we need to find how many apples he picked up during the 40 times.

The probability of picking an apple is 0.3, which is equivalent to 30%

This means that 30% of the 40 times he picked an apple.

We would multiply 40 by 0.3 to get our answer.

This means that Jenson picked 12 apples.

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!

Read more on Brainly.com - brainly.com/question/12981771#readmore

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Lucy reads 450 words in 3 minutes.
AnnyKZ [126]

Answer:

3000 words

Step-by-step explanation:

450 words in 3 minutes is 150 words in 1 minute. 20 minutes = 1 times 20.          

1 minute = 150 words so 150 words times 20 minutes = 3000 words.

5 0
3 years ago
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