Answer:
c
Step-by-step explanation:
The coordinate of the vertex is; (h, k) = (3, -5)
The final equation of the parabola is; y = 5(x - 3)² - 5
<h3>How to find the vertex of a Parabola?</h3>
The vertex is the coordinate of the crest or trough of the curve. Now, in the given graph, we only have a Trough which is the lowest point of the graph.
The coordinate of the vertex is; (h, k) = (3, -5)
2) Since the general equation is;
y = a(x - h)² + k
We will have;
y = a(x - 3)² - 5
At x = 2, y = 0. Thus;
0 = a(2 - 3)² - 5
a - 5 = 0
a = 5
3) The final equation of the parabola is;
y = 5(x - 3)² - 5
Read more about Parabola Vertex at; brainly.com/question/17987697
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From second equation y = 8 - x so
7x + 2(8 - x) = -14
5x = -14 - 16 = -30
x = -6
and y = 8 - -6 = 14
Answer x=-6,y=14
Answer:
A. -6, 4
Step-by-step explanation:
If the triangle is reflected across the y-axis, it's going to be in quadrant 2.
A is the only value located in quadrant 2. Therefore, -6, 4 will be point C's relfection.
x = 36.2 .
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Explanation:
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2x - 1 + 3x = 180 ;
Combine the "like terms" on the left-hand side of the equation:
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+2x + 3x = + 5x ;
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And rewrite:
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5x - 1 = 180 ;
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Add "1" to each side of the equation:
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5x - 1 + 1 = 180 + 1 ;
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5x = 181 ;
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Divide EACH SIDE of the equation by "5" ;
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5x / 5 = 181 / 5 ;
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to get:
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x = 36.2 .
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