Answer:
x =8 is the equation of the tangent.
Step-by-step explanation:
Here the equation of the given circle is: 
Now, comparing it with the general equation of circle: 
we get the central coordinates (h,k) = (3,-2)
So, the slope of the line joining center and (8, -2) = 
Since the slope of line = 0, line is parallel to x axis.
Now, as tangent and the line is perpendicular to each other
⇒Slope of the tangent = -1/ slope of the line = 
Now, by point slope formula: the equation of the tangent is
(y-y0) = m (x-x0)
or, 
or x =8 is the equation of the tangent.
1183 rounded to the nearest hundred = 1200
1145 rounded to the nearest hundred = 1100
Answer:
Step-by-step explanation:
m=p/3
t=(3/10)(1-1/3)
t=(3/10)(2/3)=p/5
p-p/3-p/5=35
(15p-5p-3p)/15=35
7p/15=35
7p=525
p=75
So the book has 75 pages.
Answer:
C. 4m + 3 > 75
Step-by-step explanation:
There is only one private chef's table so this remains constant at 3. There are m number of tables that will seat 4 people so 4 is multiplied by m.
Answer:
0.225 L of milk, would be
required if she uses 450 m L of water.
Step-by-step explanation:
Here, to make the shake, ingredients used by Dina are:
40 m L of chocolate syrup,
200 m L of milk, and 400 m L of water.
So, here Amount of water used = 2 x ( Amount of Milk used) ....... (1)
Now,again the amount of water used by Dona = 450 m L
Let us assume the milk used by her = k m L
⇒ 450 m L = 2 x ( k m L) ( from (1))
or, 450 = 2 k
⇒ k = 450/2 = 225
⇒ k = 225 m L
Also, 1 m L = 0.001 L
So, 225 m L = 225 x 0.001 = 0.225 L
⇒ k = 0.225 L
Hence, 0.225 L of milk, would be
required if she uses 450 m L of water.
