Answer:Equation of the line is:y = 1.2x + 3.2
Explanation:The general form of the linear equation is:y = mx + c
where:
m is the slope
c is the y-intercept
1- getting the slope:The slope of the line can be calculated using the following formula:
m =

We are given the points:
(-6,-4) representing (x1,y1)
(4,8) representing (x2,y2)
Substitute with the given points in the above equation to get the slope as follows:
m =

The equation of the line now is:
y = 1.2x + c
2- getting the y-intercept:To get the value of the c, we will use any of the given points, substitute in the equation and solve for c.
I will use the point (4,8) as follows:
y = 1.2 x + c
8 = 1.2(4) + c
c = 16/5 = 3.2
Therefore, the equation of the line is:
y = 1.2x + 3.2
Hope this helps :)
|-2x+6| = 6
-2x+6 = 6 or -6
so x = 0 or 6
Answer: $44,518
Step-by-step explanation:
Using the formula:
PV = P(
)
PV = present value
P = Principal
r = rate
n = number of periods
From the question :
PV = ?
P = $10,000
r = 0.04
n = 5
Substituting into the formula , we have
PV = 10,000 (
)
PV = 10,000 (
)
PV = 10,000 ( 
PV = 10,000 ( 4.451822331 )
PV = 44518.22331
Therefore :
PV≈ $ 44,518
Answer:
3
Step-by-step explanation:
plug in the values in the formula of volume of cone
18pi=pi(x^2)(2x)(1/3)
then solve for x
multiply both sides by 3 : 54pi = pi(x^2)(2x)
divide pi from both sides : 54 = (x^2)(2x)
divide 2 from both sides : 27 = x^3
cube root of both sides : 3 = x
<h3>Answer:</h3>
3:8:1
<h3>step-by-step explanation:</h3>
3/12 x 144= 36
8/12 x 144= 96
96+36= 132
144-132= 12
12/12=1
Therefore, the ratio of Alyssa's nickels to dimes to quarters is 3:8:1