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Rashid [163]
3 years ago
6

What is the value of y? Show work

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

Answer:

Sum of the angles of the triangle is 180°.

=> 39° + 4y + y + 11° = 180°

=> 5y + 50° = 180°

=> 5y = 180° - 50°

=> 5y = 130°

=> y = 130°/5

<h3>=> y = 26°</h3>

romanna [79]3 years ago
7 0

Answer:

Sum of the interior angles of the triangle is 180°.

According to the above problem,

4y + (y + 11) + 39 = 180 \\ 5y + 50 = 180 \\ 5y = 130 \\ y  = \frac{130}{5}  \\  \boxed{y = 26}✓

<h3><u>y=26</u><u>°</u> is the right answer.</h3>
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Answer:

1. <em>Axis of symmetry</em>: x = 3

2. <em>Vertex:</em> (3,5)

3. <em>Solution of the equation</em>:

<u />

  • x-intercepts:

               (3-\sqrt{5},0) \\\\(3+\sqrt{5},0)

  • y-intercept: (0, -4)

Explanation:

<u>1. Equation:</u>

    y=-x^2+6x-4

<u>2. </u><em><u>Axis of symmetry:</u></em>

That is the equation of a parabola, whose standard form is:

                 y=ax^2+bx+c

Where:    

                 a=-1;b=6;c=-4

The axis of symmetry is the vertical line with equation:

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Substitute  a=-1,\text{ and }b=6

          x=-6/[(2)(-1)]=-6/(-2)=3

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<em><u>3. Vertex</u></em>

<em><u /></em>

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

               y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5

Therefore, the vertex is (3, 5)

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The x-intercepts are the roots of the equation, which are the points wher y = 0.

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<u>5. Find the y-intercept</u>

<u />

The y-intercet is the value of y when x=0:

         y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4

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