Two circles<span> of </span>radius<span> 4 are </span>tangent<span> to the </span>graph<span> of y^</span>2<span> = </span>4x<span> at the </span>point<span> (</span>1<span>, </span>2<span>). ... I know how to </span>find<span> the </span>tangent<span> line from a circle and a given </span>point<span>, but ... </span>2a2=42. a2=8. a=±2√2. Then1−xc=±2√2<span> and </span>2−yc=±2√2. ... 4 from (1,2<span>), so you could </span>find these<span> centers, and from there the</span>equations<span> of the circle
</span>
Answer:
The answer is 1.21.
Step-by-step explanation:
The hundredth digit in 1.208 is 0, so you have to look at the number after that to either round 0 up or down. The number after 0 is 8. Since 8 is bigger than 5, you round 0 up by 1.
I hope this was clear!
Answer:
y = 3/2x - 5
Step-by-step explanation:
To find the equation of the line
Step 1: find slope
( 2 , -2) ( 4 , 1)
x_1 = 2
y_1 = -2
x_2 = 4
y_2 = 1
Insert the values into
m = (y_2 - y_1) / (x_2 - x_1)
m = ( 1 - (-2) / (4 - 2)
= ( 1 + 2) / ( 4 -2 )
= 3 / 2
m = 3/2
Step 2: substitute m into the equation
y = mx + c
y = 3/2x + c
Step 3: substitute any of the two points into the equation
Let's pick (4 , 1)
x = 4
y = 1
y = 3/2x + c
1 = 3/2(4) + c
1 = 3*4/2 + c
1 = 12/2 + c
1 = 6 + c
1 - 6 = c
c = 1 - 6
c = -5
Step 4 : substitute c into the equation
y = 3/2x + c
y = 3/2x - 5
The equation of the line is
y = 3/2x - 5
Answer:

Step-by-step explanation:
using pt-slope form, we get
. Using the Distributive Property and Addition Propert of Equality, we can simplify this equation into
by factoring -5/4 into (x-4) and subtracting 9 from both sides.