Step-by-step explanation:
66. Δy = -3.4 Δx
Δy/Δx = -3.4
The slope of the line is -3.4. Slope-intercept equation of the line is:
y = -3.4x + b
Plug in the given point to find b:
2 = -3.4(4) + b
b = 15.6
Therefore, the equation is y = -3.4x + 15.6.
Use the equation to find the y coordinates.
![\left[\begin{array}{cc}x&y\\-4&29.2\\4&2\\6&-4.8\\18&-45.6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx%26y%5C%5C-4%2629.2%5C%5C4%262%5C%5C6%26-4.8%5C%5C18%26-45.6%5Cend%7Barray%7D%5Cright%5D)
68. Repeat the same steps as 66.
Δy = -1.7 Δx
Δy/Δx = -1.7
The slope of the line is -1.7. Slope-intercept equation of the line is:
y = -1.7x + b
Plug in the given point to find b:
3 = -1.7(-7) + b
b = -8.9
Therefore, the equation is y = -1.7x − 8.9.
Use the equation to find the x or y coordinates.
![\left[\begin{array}{cc}x&y\\-19&23.4\\-7&3\\-2.412&-4.8\\3.2&-14.34\\9.1&-24.37\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dx%26y%5C%5C-19%2623.4%5C%5C-7%263%5C%5C-2.412%26-4.8%5C%5C3.2%26-14.34%5C%5C9.1%26-24.37%5Cend%7Barray%7D%5Cright%5D)
Answer:
3x=15
Step-by-step explanation:
Here's what I found on google about the distributive property-
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Now for the math-
3(x+5)
distribute the numbers- 3(x)+3(5)
solve- 3*5=15
3x+15
Answer:
Solutions are (3,1) and (4,2)
Step-by-step explanation:
Graph is shown in the attached sheet
Given are two systems of equations and we have to solve them using graph
For graphing let us first prepare table for x and y.
1) 
I line II line
x 0 4.5 3 x 0 2.5 3
y 3 0 1 y -5 0 1
The two lines intersect at (3,1)
Hence solution is (3,1)
--------------------------------------------
2) 
I line II line
x 0 2 4 x 0 6 4
y 0 1 2 y 3 0 2
The two lines intersect at (4,2)
Hence solution is (4,2)
Of the isometries, translation is your best tool. The orientation is already correct so rotation is unnecessary, as is reflection.
The value of the product expression given as product of (2i) and (5+3i) is 10i -6
<h3>How to determine the product?</h3>
The product expression is given as:
product of (2i) and (5+3i)
Rewrite the expression as:
(2i) * (5+3i)
Open the brackets
(2i) * (5+3i) = 10i + 6i^2
Evaluate
(2i) * (5+3i) = 10i + 6(-1)
This gives
(2i) * (5+3i) = 10i -6
Hence, the value of the product expression given as product of (2i) and (5+3i) is 10i -6
Read more about complex numbers at:
brainly.com/question/10662770
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