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Whitepunk [10]
3 years ago
13

Determine if line AB is tangent to the circle. Please help!!

Mathematics
1 answer:
Ugo [173]3 years ago
7 0

Answer:

B. Tangent

Step-by-step explanation:

Tangent always makes 90 degree angle with the radius. Now in triangle let's see if it's right angled triangle or not.

To confirm if it's a right angled triangle it should follow Pythagoras Theorem.

Which states square of hypotenuse = sum of squares of other two legs

12 {}^{2}  + 16 {}^{2}  = 20 { }^{2}  \\ 144 + 256 = 400 \\ 400 = 400

it proves that it's a right angled triangle. Hence AB is a tangent to circle.

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Write the equation of an ellipse with a major axis of length 8 and co-vertices (0,3) and (0,-3)
alexandr1967 [171]
If the co-vertices are (0, 3) and (0, -3) where x is 0 and y has a value, then y is the minor axis.  That means that the x axis is the major axis.  Because of what the co-vertices are, the center of the ellipse is at the origin.  The formula for an ellipse that has a horizontal major axis is \frac{(x-h)^2}{a^2}+ \frac{(y-k)^2}{b^2}=1.  The a value will always be larger than the b value, therefore, the a value goes under the coordinate that is the major axis.  Here, its the x-axis.  a is the distance that the outer edge of the ellipse is from the center.  It's 8 units away from the center along the x axis and 3 units along the y axis from the center.  So a = 8 and a^2 = 64; b = 3 and b^2 = 9.  Our formula then is \frac{x^2}{64}+ \frac{y^2}{9}=1
8 0
4 years ago
How much bigger is the largest bowl than the smallest bowl?
dmitriy555 [2]

Answer:

5/8

Step-by-step explanation:

The biggest bowl Mr. Ramsey bought is 7/8, and the smallest is 2/8.

Thus, 7/8 - 2/8 = 5/8 quarts.

6 0
2 years ago
Read 2 more answers
Simplify:<br> (4p3 + 6p2 – 7) – (8p? – 7 – 3p)
Kipish [7]

Answer:

4p3 + 6p2 - 8p - 7

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p2"   was replaced by   "p^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 (((4 • (p3)) +  (2•3p2)) -  7) -  8p

STEP

2

:

Equation at the end of step

2

:

 ((22p3 +  (2•3p2)) -  7) -  8p

STEP

3

:

Checking for a perfect cube

3.1    4p3+6p2-8p-7  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  4p3+6p2-8p-7

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -8p-7

Group 2:  4p3+6p2

Pull out from each group separately :

Group 1:   (8p+7) • (-1)

Group 2:   (2p+3) • (2p2)

3.3    Find roots (zeroes) of :       F(p) = 4p3+6p2-8p-7

Polynomial Roots Calculator is a set of methods aimed at finding values of  p  for which   F(p)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  p  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  4  and the Trailing Constant is  -7.

The factor(s) are:

of the Leading Coefficient :  1,2 ,4

of the Trailing Constant :  1 ,7

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        3.00    

     -1       2        -0.50        -2.00    

     -1       4        -0.25        -4.69    

     -7       1        -7.00       -1029.00    

     -7       2        -3.50        -77.00    

     -7       4        -1.75        3.94    

     1       1        1.00        -5.00    

     1       2        0.50        -9.00    

     1       4        0.25        -8.56    

     7       1        7.00        1603.00    

     7       2        3.50        210.00    

     7       4        1.75        18.81    

Final result :

 4p3 + 6p2 - 8p - 7

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3 years ago
Neptune is 4.5 billion kilometers from the<br> sun. Represent this number in scientific<br> notation
Tanya [424]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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A serviceman with two children has monthly salary of Rs 22800. He has got tax free
Sonbull [250]

Answer:

answer below :) hope this helps!

Step-by-step explanation:

Amount invested in Civil investment fund= 10% of 96000 = \frac{10}{100} x 96000 = 10 x 960= 9600

remaing taxable amount = =96000 -(75000+9600)

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Tax = 15% of 11400

= \frac{15}{100} x 11400 = 15 x 114 = 1710

again, i hope this helps :)

4 0
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