Answer:
19 = x
Step-by-step explanation:
The square of the tangent segment = The product of (whole secant segment) (the outside part of the secant segment)
BD²= (BA)(BE)
8² = (4 + x - 7) (4) BA = BE + EB
8² = (x - 3)(4)
64 = 4x - 12
64 + 12 = 4x
76 = 4x
19 = x
if we zero out f(x), namely make y = 0, we can get the roots or x-intercepts for this quadratic equation
now, the equation is in x-terms, meaning is a vertically opening parabola, so the axis of symmetry will be x = something, a vertical line.
well, we have two x-intercepts, one at -4 and another at 2, and the vertex is right half-way between those guys
-4------------(-1)------------2
so the vertex is at x=-1, namely the axis of symmetry is x = -1.
The equation is y = 16/25 x
lets find the proportional relationship,
y = kx
2/5 = k * 5/8
k = (2/5) / (5/8)
k = 16/25
so if k, constant is 16/25
equation is:
y = 16/25 x
<h3>What are proportional relationships?</h3>
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
<h3>How do you find the proportional relationship in an equation?</h3>
The equation that represents a proportional relationship, or a line, is y = k x , where is the constant of proportionality. Use k = y x from either a table or a graph to find k and create the equation.
To learn more about proportional relationship from the given link
brainly.com/question/2143065
#SPJ4
Answer:
+12.5%
Step-by-step explanation:
This is rather simple. Subtract 72 from 81, then put the difference over 72. Then, multiply that by 100.
(81 - 72)/72 * 100
<em>Subtract 72 from 81 to get 9</em>
9/72 * 100
<em>Multiply 9 by 100 to get 900</em>
900/72
<em>Simplify the above fraction by cancelling out 9.</em>
100/8
<em>Divide 100 by 8 to get 12.5%</em>
The percent of change is +12.5%
