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tensa zangetsu [6.8K]
3 years ago
14

sandra is playing a trivia game.on her first turn she lost 75 points. on her second turn,she lost 35 points. on her third turn,s

he scored 100 points. What is sandras score after three turns?
Mathematics
1 answer:
KiRa [710]3 years ago
4 0

Answer: -10 points

Step-by-step explanation:

She lost 110,so that loss -the gain(100) is the total score at the end of three games

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What is 55/100 in simplest form
RoseWind [281]
55/100
= (55/5) / (100/5)
= 11/20

The simplest form of 55/100 is 11/20~
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4 years ago
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Find the equation of the sphere if one of its diameters has endpoints (-8, -3, -10) and (-6, 1, -4) which has been normalized so
alex41 [277]

Answer:

The  equation is  x^2 + y^2    +z^2 + 14 x  + 3y \ + 14z  + 86.25=0

Step-by-step explanation:

From the question we are told that  

    The  diameter endpoints is   (-8, -3, -10) and (-6, 1, -4)

Generally the equation of a sphere with center coordinates (a, b , c ) and  radius  r   is mathematically represented as

           (x -  a )^2  + (y -b )^2  + (z -c)^2 =  r^2

Now since we are given the endpoints of the diameter then we can obtain the center coordinates as follows

         (a, b , c) =  [ \frac{ -8 +(-6)}{2}  ,  \frac{-3 + (1)}{ 2}  , \frac{ -10 + (-4)}{2} ]

         (a, b , c) =  [ -7 ,  -1.5  , -7 ]

Now the length of the diameter is evaluated as

    |d| =  \sqrt{ (-8 - (-6 ))^2 + ( -3 - (1) )^2 + ( -10 - (-4))^2 }

   |d| =  \sqrt{56 }

   |d| =   \sqrt{4 *  14 }

   |d| = 2  \sqrt{  14 }

Now the radius is mathematically represented as

    r = \frac{|d|}{2}

    r = \frac{ 2 \sqrt{14} }{2}

    r =  \sqrt{14}

So

   (x -  -7 )^2  + (y --1.5 )^2  + (z --7)^2 = ( \sqrt{14} )^2

   (x +7 )^2  + (y +1.5 )^2  + (z +7)^2 = 14

    x^2 + 14 x + 49  + y^2 + 3y + 2.25   +z^2 14z + 49 = 14

    x^2 + y^2    +z^2 + 14 x  + 3y \ + 14z  + 86.25=0

4 0
4 years ago
Evaluate the expression for q = -2. )) -89 – 9 =​
Alexxandr [17]

Answer:

the answer will be 98

Step-by-step explanation:

7 0
3 years ago
Which of the following expressions are equivalent to 2/x^6-y^6? Choose all that apply.
enot [183]

Answer:

A and C

Step-by-step explanation:

Equivalent expressions are expression which when simplified to lowest terms are equal.

Simplify each answer choice to find the expression which simplifies to \frac{2}{x^6-y^6}.

A. Multiply the exponents 3*2 = 6. This is equal.

B. Multiply numerators and denominators. Here the numerator will be 1*1 = 1. It does not equal 2 in the numerator.

C. Here the numerator does equal 2. The denominator multiplies to (x^3 - y^3)(x^3+y^3)\\x^6 -x^3y^3 + x^3y^3 -y^6\\x^6 - y^6

This is equal.

D. The denominator will have three terms here when simplified. This will not be equal.

4 0
3 years ago
Help help help help
ANEK [815]

Answer:

-2a+6

Step-by-step explanation:

-3a+a=-2a

1+5=6

-2a+6

5 0
3 years ago
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