Answer:
m = -6/7
b = -2
Step-by-step explanation:
m = (y2 - y1)/(x2 - x1) = (-2 - 4)/(0 - (-7)) = -6/7
y = mx + b
m = -6/7
y = -6/7 x + b
Use point (-7, 4).
4 = (-6/7)(-7) + b
4 = 6 + b
b = -2
y = -6/7 x - 2
m = -6/7
b = -2
Answer:
11
Step-by-step explanation:
8 + 3*(4-3) = 8 + 3*1 = 8+3 =11
Answer:
x=1+2√2 or x=1−2√2
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2−6x=21
Step 1: Since the coefficient of 3x^2 is 3, divide both sides by 3.
3x2−6x
3
=
21
3
x2−2x=7
Step 2: The coefficient of -2x is -2. Let b=-2.
Then we need to add (b/2)^2=1 to both sides to complete the square.
Add 1 to both sides.
x2−2x+1=7+1
x2−2x+1=8
Step 3: Factor left side.
(x−1)2=8
Step 4: Take square root.
x−1=±√8
Step 5: Add 1 to both sides.
x−1+1=1±√8
x=1±√8
x=1+2√2 or x=1−2√2
The radius of the circle and the tangent to the circle form a right angle so we have a right triangle.
Since our triangle is right we can apply the Pythagorean Theorem to find x.
8^2. =6^2 + x^2
X^2= 64-36
x= sqrt 28= 2 sqrt 7 ~ 5.30
