Answer:
Right option is c 16 cm
Step-by-step explanation:
From the question,
The radius of the circle, the point drawn from the center of the circle to piont X and the length of the tangent drawn from point X to the point of tangency all form a right angle triangle.
Using pythagoras theorem,
a² = b²+c²...................... Equation 1
Where b = the length of the tagent, a = length of the point drawn outside the circle from the center, b = radius of the circle.
Given: a = 34 cm, b = 30 cm.
Substitute into equation 1
34² = 30²+c²
c² = 34²-30²
c² = 1156-900
c² = √256
c² = 16 cm.
Hence the right option is c 16 cm
Answer:
Step-by-step explanation:
Remember that the equation of the line is
in this case we have
that is because
Answer:
x=6
Step-by-step explanation:
log(5x+10)-log(4x+12)=1-2log(3)
log(5x+10/4x+12)=1-2log(3)
log(5x+10/4x+12)=log(10)+log(3^-2)
log(5x+10/4x+12)=log(10×3^-2)
log(5x+10/4x+12)=log(10×1/9)
log(5x+10/4x+12)=log(10/9)
5x+10/4x+12=10/9
9(5x+10)=(4x+12)10
45x+90=40x+120
5x=30
x=6
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Answer:
K = -16/33
Step-by-step explanation:
For a problem like this, it is convenient to write the mixed number as an improper fraction:
-11/8 K = 2/3
Now, multiply the equation by the reciprocal of the coefficient of K.
K = (-8/11)(2/3)
K = -16/33
