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Feliz [49]
2 years ago
5

Please solve with explanation

Mathematics
1 answer:
OverLord2011 [107]2 years ago
8 0

Real life scenarios of acute angles are:

  • Sighting a ball from the top of a building at an angle of 55 degrees.
  • The angle between two adjacent vanes of a fan that has 6 vanes

<h3>What are acute angles?</h3>

As a general rule, an acute angle, x is represented as: x < 90

This means that acute angles are less than 90 degrees.

<h3>The real life scenarios</h3>

The real life scenarios that involve acute angles are scenarios that whose measure of angle is less than 90 degrees.

Sample of the real life scenarios that satisfy the above definition are:

  • Sighting a ball from the top of a building at an angle of 55 degrees.
  • The angle between two adjacent vanes of a fan that has 6 vanes

Read more about acute angles at:

brainly.com/question/3217512

#SPJ1

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Find the equation of the line passing through the points (-2,8) and (8,- 7). Write the equation in
german

Answer:

Step-by-step explanation:

y=mx+b\\ \\ m=\frac{-7-8}{8-\ -2}=\frac{-15}{10}=\ -\frac{3}{2}\\ \\ y=\ -\frac{3x}{2}+b,\ (-2,8)\\ \\ 8=\ -\frac{3(-2)}{2}+b\\ \\ 8=3+b,\ b=5\\ \\ y=\frac{10-3x}{2}

4 0
3 years ago
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Solve the quadratic equation below :<br> 2x^2 + 12x =66
Over [174]

Answer:

-3 + sqrt 42

-3 - sqrt42

Step-by-step explanation:

assuming you want me to factor it and then find the roots:

2x^2 +12x-66

2(x^2 + 6x-33)

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3 years ago
What is the discontinuity of the function f(x)=x^2-3x-28/x+4?
Hitman42 [59]

Answer:

Option D is correct that is (-4,-11).

Step-by-step explanation:

We have been given an expression:

f(x)=\frac{x^2-3x-28}{x+4}

We need to find the points of discontinuity

We will first factorize the given expression

\frac{x^2-7x+4x-28}{x+4}

\Rightarrow \frac{x(x-7)+4(x-7)}{x+4}

\Rightarrow \frac{(x+4)(x-7)}{x+4}

Hence, the point of discontinuity is where denominator gives value zero

So, x+4=0\Rightarrow x=-4

Point of discontinuity is -4

hence, after removing the point of discontinuity the function left is:

f(x)=x-7

Hence, put x=-4

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Therefore, option D is correct that is (-4,-11).

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3 years ago
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The graph of the quadratic function y=-x^2-2x+3 is shown below
Karolina [17]

Answer:

The axis of symmetry is at x=-1

The graph has an x-intercept at (1,0)

The graph has a vertex at (-1,4)

Step-by-step explanation:

we have

y=-x^{2}-2x+3

Statements

case 1) The graph has root at 3 and 1

The statement is False

Because, the roots of the quadratic equation are the values of x when the value of y is equal to zero (x-intercepts)

Observing the graph, the roots are at -3 and 1

case 2) The axis of symmetry is at x=-1

The statement is True

Observing the graph, the vertex is the point (-1,4)

The axis of symmetry in a vertical parabola is equal to the x-coordinate of the vertex

so

the equation of the axis of symmetry is x=-1

case 3) The graph has an x-intercept at (1,0)

The statement is True

see procedure case 1)

case 4)  The graph has an y-intercept at (-3,0)

The statement is False

Because, the y-intercept is the value of y when the value of x is equal to zero

Observing the graph, the y-intercept is the point (0,3)

case 5) The graph has a relative minimum at (-1,4)

The statement is False

Because, is a vertical parabola open downward, therefore the vertex is a maximum

The point (-1,4) represent the vertex of the parabola, so is a maximum

case 6) The graph has a vertex at (-1,4)

The statement is True

see the procedure case 5)

see the attached figure to better understand the problem

6 0
3 years ago
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