Answer:
x= 6.5 cm
Step-by-step explanation:
When a tangent line touches the circle, it forms a right angle triangle at that point
Apply the Pythagorean relationship in this case
Given that the height is = 20.2 cm = b
The hypotenuse is = c= x+14.7 cm
General formulae is;
a² +b² =c²
x² + 20.2² =( x+ 14.7)²
x² + 408.04= x² +14.7x+14.7x+216.09
x² + 408.04= x² + 29.4 x +216.09.........................collect like terms
x²-x² + 408.04-216.09= 29.4x
191.95= 29.4x-------------------------------divide by 29.4 t0 get x
191.95/29.4 =x
x=6.5 cm
I can make inferences to the text or article..
(8*4*2/8*7)^2 x (8^0/7^-3)^3 x 7^-9
Simplify the equations:
(8*4*2/8*7)^2 = (64/56)^2 = (8/7)^2
(8^0/7^-3)^3 = (1/7^-3)^3 = 7^9
Now you have :
(8/7)^2 x 7^9 x 7^-9
Multiply 7^9 x 7^-9 by adding the exponents to get 7^0, which = 1
Now you have:
(8/7)^2 x 1
(8/7)^2 = (8x8) / (7x7) = 64/49
64/49 x 1 = 64/49
You have to distribute!
6(x) = 6x and 6(-6)=-36
So now you have 6x-36=-3(-x+3)
Now do the same on the other side.
-3(-x)=3x -3(3)=-9
So now, 6x-36=3x-9
Combine the like terms:
Subtract 3x in both sides.
6x-3x=3x
Now: 3x-36=-9
Add 36 in both sides.
3x=27
Divide by 3 on both sides to get x alone.
3x/3= x 27/3=9
X=9
Step-by-step explanation:
-25 = -5/3u
-25.3u = -5
-75u = -5
u = -5/-75
u = 1/15
