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salantis [7]
3 years ago
10

Line CD is tangent to circle A at point B. Segment AB is a radius of circle A. What can be concluded about angle ABD?

Mathematics
1 answer:
valentina_108 [34]3 years ago
8 0
<span>Segment AB is a radius of circle A. We can conclude that angle ABD is complementary to angle ABC. The answer is letter C. Complementary angles are angles that forms 90 degrees. Since the l</span>ine CD is tangent to circle A at point B and the distance of line CB is the same as that in line BD then it forms a perpendicular line at point B which divides both angle in 90 degrees.
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Find the equation, f(x) = a(x-h)2 + k, for a parabola that passes through the point (0, 0) and has (-3, -6) as its vertex. What
Arisa [49]
F(x) = a(x-h)²<span> + k

</span><span><u>Given that the vertex is (-3 -6):</u>

</span>f(x) = a(x + 3)² -6
<span>
<u>Given that it passes through (0.0), find a:</u>

a(0 + 3)</span>² - 6 = 0
<span>
9a - 6 = 0

9a = 6

a = 6/9 =2/3

<u>So the equation is :</u>

</span>f(x) = 2/3(x + 3)² -6
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<u>Write the equation in standard form:</u>

</span>f(x) = 2/3(x² + 6x + 9) - 6

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f(x) = 2/3x² + 4x
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Answer: </span>f(x) = 2/3x² + 4x<span>


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6 0
3 years ago
Kevin earns 2.4% interest each year on the money in his savings account he kept $157 in his savings account for an entire year h
vaieri [72.5K]

Answer:

37.68

Step-by-step explanation:

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Hope its right.

8 0
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Kruka [31]

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8 0
3 years ago
Hurry in need of help! Please
Bas_tet [7]

\\ \sf\dashrightarrow \dfrac{x+20}{2}=3x

\\ \sf\dashrightarrow x+20=2(3x)

\\ \sf\dashrightarrow x+20=6x

\\ \sf\dashrightarrow 20=6x-x

\\ \sf\dashrightarrow 5x=20

\\ \sf\dashrightarrow x=\dfrac{20}{5}

\\ \sf\dashrightarrow x=4

3 0
3 years ago
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For positive real roots:

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The coefficient of polynomial is:

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There is 2 time sign in changing in 1st and 2nd term and then in 2nd and 3rd term.

So,there will be 2 positive  real roots or less but even.

For negative real roots  find P(-x)

P(-x)=-(9x^3-4x^2+10)

P(-x)=-9x^3+4x^2-10

So, coefficient of above polynomial is:

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There is 2 time sign in changing in 1st and 2nd term and then in 2nd and 3rd term.

So,there will be 2 negative real roots or less but even.

7 0
3 years ago
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