Well, parallel lines have the same exact slope, so hmmm what's the slope of the one that runs through <span>(0, −3) and (2, 3)?
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so, we're really looking for a line whose slope is 3, and runs through -1, -1
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![\bf \begin{array}{ccccccccc} &&x_1&&y_1\\ % (a,b) &&(~ -1 &,& -1~) \end{array} \\\\\\ % slope = m slope = m\implies 3 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-1)=3[x-(-1)] \\\\\\ y+1=3(x+1)](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bccccccccc%7D%0A%26%26x_1%26%26y_1%5C%5C%0A%25%20%20%28a%2Cb%29%0A%26%26%28~%20-1%20%26%2C%26%20-1~%29%0A%5Cend%7Barray%7D%0A%5C%5C%5C%5C%5C%5C%0A%25%20slope%20%20%3D%20m%0Aslope%20%3D%20%20m%5Cimplies%203%0A%5C%5C%5C%5C%5C%5C%0A%25%20point-slope%20intercept%0A%5Cstackrel%7B%5Ctextit%7Bpoint-slope%20form%7D%7D%7By-%20y_1%3D%20m%28x-%20x_1%29%7D%5Cimplies%20y-%28-1%29%3D3%5Bx-%28-1%29%5D%0A%5C%5C%5C%5C%5C%5C%0Ay%2B1%3D3%28x%2B1%29)
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Answer:
slope = 5/6
Step-by-step explanation:
Since you were given two points, you can use the point-slope formula to find the slope. The general equation looks like this:
y₁ - y₂ = m(x₁ - x₂)
In this formula, "m" represents the slope. To find the slope, plug the values from the two points into the equation. Make sure to put the values from the same point in the variable with the same number.
Point 1: (-1, 8)
Point 2: (-7, 3)
y₁ - y₂ = m(x₁ - x₂) <----- Original formula
8 - y₂ = m(-1 - x₂) <----- Plug in "x" and "y" values from Point 1
8 - 3 = m(-1 - (-7)) <----- Plug in "x" and "y" values from Point 2
5 = m(-1 - (-7)) <----- Simplify left side
5 = m(6) <----- Simplify inside parentheses
5/6 = m <----- Divide both sides by 6
Assume that the age of Alicia is x and that of Amy is y
Twice the age of Alicia = 27
Eight years older means we will add 8
Therefore, the statement "<span>Amy is eight years older than twice her cousin Alicia’s age" can be represented as follows:
y = 8 + 2x (equation)
The sum of their ages is less than 32 can be represented as:
x + y < 32 which can also be written as y < 32-x (inequality)
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For this case we have the following equation:
Rewriting we have:
Dividing by 2 to both sides of the equation:
We apply the quadratic formula:
We have to:
Substituting:
Thus, we have two roots:
ANswer:
Answer:
0.206897
Step-by-step explanation:
it is 0.206897 because you have take the whole make uneven fraction an add it to 60 in 60/72 to get 348 divided equals 0.206897
