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Whitepunk [10]
3 years ago
11

Triangle ABC and Triangle DEF are similar. Find the unknown measures. (t = ? and u = ?)

Mathematics
1 answer:
Marianna [84]3 years ago
4 0
T= 60°


It is an equilateral triangle which means all sides and angles are equal


u= 10m

It is an equilateral triangle which means all sides and angles are the same


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(-3x^2+x^4+x)+(2x^4-7+4x)
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1. Remove parentheses

-3x^2 + x^4 + x + 2x^4 - 7 + 4x

2. Collect like terms

-3x^2 + (x^4 + 2x^4) + (x + 4x) - 7

3. Simplify

-3x^2 + 3x^4 + 5x - 7

6 0
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Which scatter plot shows a linear association? <br><br> A or B
adelina 88 [10]

Answer:

A

Step-by-step explanation:

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3 years ago
I need help doing everything.
ohaa [14]

Using set notations, we have that:

1. The range of the function is:

  • Inequality: x ≥ -15.
  • Set-builder: {x | x ≥ -15}
  • Interval: [-15, ∞).

2. The function is increasing on:

  • Inequality: x > 3.
  • Set-builder: {x | x > 3}
  • Interval: (3, ∞).

3. The function is decreasing on:

  • Inequality: x < 3
  • Set-builder: {x | x < 3}
  • Interval: (-∞, 3).

4. The function is negative on:

  • Inequality: 0.918 < x < 5.082.
  • Set-builder: {x | 0.918 < x < 5.082}.
  • Interval: (0.918, 5.082).

<h3>What is the standard interval notation?</h3>

The standard interval notation of an interval of lower bound a and upper bound b is given by:

[a,b].

The inequality notation is:

a ≤ x ≤ b

The set builder notation is:

{x | a ≤ x ≤ b}.

<h3>What is the range of the function?</h3>

The range of a function is the set that contains all possible output values for the function. In a graph, it is given by the values of y of the function.

Hence, for this problem, the range is given by these following notations:

  • Inequality: x ≥ -15.
  • Set-builder: {x | x ≥ -15}
  • Interval: [-15, ∞).

<h3>When is a quadratic function increasing and when it is decreasing?</h3>

Considering a concave up quadratic function, as given in this problem, we have that:

  • It decays for the values of x before the vertex.
  • It increases for the values of x after the vertex.

In this problem, the vertex is at x = 3, hence the intervals are given as follows:

2. The function is increasing on:

  • Inequality: x > 3.
  • Set-builder: {x | x > 3}
  • Interval: (3, ∞).

3. The function is decreasing on:

  • Inequality: x < 3
  • Set-builder: {x | x < 3}
  • Interval: (-∞, 3).

<h3>When a function is negative?</h3>

A function is negative when it's graph is below the x-axis. Hence, for this problem, we have that:

4. The function is negative on:

  • Inequality: 0.918 < x < 5.082.
  • Set-builder: {x | 0.918 < x < 5.082}.
  • Interval: (0.918, 5.082).

More can be learned about set notations at brainly.com/question/24462379

#SPJ1

6 0
1 year ago
Enter the number that makes the equation true.<br> 17<br> 0.54 +<br> 100<br> 100 = 100 + 100
LuckyWell [14K]

Answer:

this question makes no sense

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The diameter of a billiard ball is approximately 6 cm. what is the volume? round your answer to the nearest whole number.
Mandarinka [93]

For this case we have that by definition, the volume of a sphere is given by:

V = \frac {4} {3} \pi * r ^ 3

Where:

r: It is the radius of the sphere

According to the data we have to:

r = 3 \ cm

Substituting we have:

V = \frac {4} {3} \pi * 3 ^ 3\\V = \frac {4} {3} \pi * 27\\V = 36 \pi\\V = 113

The option that best fits is option B.

Answer:

V=113 \ cm^3

The option that best fits is option B.

3 0
3 years ago
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