Answer:
Equation in slope-intercept form that goes through (12, 4) and (20,8) is: 
Step-by-step explanation:
Given two points are:

Slope intercept form of line is given as:

Here m is the slope of the line and b is the y-intercept.
Slope of a line is calculated by the formula:

Putting the values

Putting the value of slope in slope-intercept form we get

To find the value of b, any one point will be put in the equation
Putting the first point (12,4) in the equation

Putting the value of b

Hence,
Equation in slope-intercept form that goes through (12, 4) and (20,8) is: 
Answer:
r = 12
Step-by-step explanation:
From the figure attached,
QP is a tangent to the circle O at the point P.
Therefore, by the property of tangency,
OP ⊥ QP
By applying Pythagoras theorem In right triangle QPO,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(OQ)² = (OP)² + (PQ)²
(25 + r)² = (35)² + r²
625 + r² + 50r = 1225 + r²
50r = 1225 - 625
50r = 600
r = 12
Therefore, r = 12 units is the answer.
Answer:
7, 7.1, √51, 7.2
Step-by-step explanation:
√51 is 7.14
<span>0.4x + 6.1 = 0
0.4x = - 6.1
x = - 6.1 / 0.4
x = - 15.25</span>
Its $1,011.66. .5% of 140000 is 700, you have to divide by 12 to get tax for one month. which is 58.333. same with home insurance 460/12 which is 38.33. let's add them. 750+120+58.33+38.33+45= 1011.66.