Answer:
y = 2x - 3
Step-by-step explanation:
Step 1: Remember the equation
The slope intercept form is y = mx + b where m is the slope and b is the y-intercept
Step 2: Solve
We can see the y-intercept(where the line crosses the y axis) is at y = -3
We know slope is 
so we can see for every 1 square it moves right it moves 2 up so the slope would be 
or 2
Plug what we know into the equation
y=2x-3
Step 3: Therefore Statement
Therefore the equation of the line shown below is y = 2x - 3
Answer:
there would be 55 different combinations if there were 9 painting and there would be 49 different combinations if there were 8 paintings. i don't know what the first question means
I definitely would say True.
The length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.
<h3>How to determine the length</h3>
The cosine rule is given as;
c = length of the diagonal
a = base length = 22 feet
b = 7 feet
feet
Using sine rule
Cross multiply
× 
= 
× 
× 
= 
× 
a = 18. 7 feet long
Thus, the length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.
Learn more about isosceles trapezoid here:
brainly.com/question/10187910
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Compute the derivative of <em>y</em> = (<em>x</em>² + <em>x</em> - 2)² using the chain rule:
d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) d/d<em>x</em> [<em>x</em>² + <em>x</em> - 2]
d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) (2<em>x</em> + 1)
Evaluate the derivative at <em>x</em> = -1 :
d<em>y</em>/d<em>x</em> (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4
This is the slope of the tangent line to the function at (-1, 4).
Use the point-slope formula to get the equation for the tangent line:
<em>y</em> - 4 = 4 (<em>x</em> - (-1)) → <em>y</em> = 4<em>x</em> + 8
