f(x) = -4x^2+12x-9f(x)=−4x 2 +12x−9f, left parenthesis, x, right parenthesis, equals, minus, 4, x, squared, plus, 12, x, minus,
Olin [163]
Answer:
The graph has only one x-intercept
Step-by-step explanation:
we have

we know that
The discriminant of a quadratic equation of the form
is equal to
in this problem we have

so

substitute
The discriminant is zero
That means ----> The quadratic equation has one real solution
The graph has only one x-intercept
The measure of angle D in the inscribed triangle is as follows;
∠D = 63 degrees
<h3>How to solve circle theorem?</h3>
The circle theorem can be use to find the ∠D as follows;
The triangle BCD is inscribed in the circle.
Using circle theorem,
The angle of each triangle is double the angle of the arc it create.
Therefore,
arc BC = m∠D
m∠B = 134 / 2 = 67 degrees.
Therefore, using sum of angles in a triangle.
67 + 50 + m∠D = 180
m∠D = 180 - 50 - 67
m∠D = 63 degrees.
learn more on circle theorem here: brainly.com/question/19906313
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Answer:
14:6
21:9
28:12
Step-by-step explanation:
Given the initial ratio of 7:3, you can find equivalent ratios by multiplying the two numbers by the same factor:
7 x 2 = 14
3 x 2 = 6
14:6
7 x 3 = 21
3 x 3 = 9
21:9
7 x 4 = 28
3 x 4 = 12
28:12
Answer:
$250
Step-by-step explanation:
so to find out what you are looking for just take $25 divided by .10 (which is ten percent as a decimal) to get $250